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SPS Math CP Algebra II Midterm Exam Review 2016 – 2017 . Stamford Public Schools Mathematics Department CP Algebra II Mid-Term Exam REVIEW January 2017 Student Name: School/Teacher: Date:
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SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
Stamford Public Schools
Mathematics Department
CP Algebra II Mid-Term Exam
REVIEW
January 2017
Student Name
SchoolTeacher
Date
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 2
CP Algebra 2 Midterm Exam 2016-2017 BLUEPRINT
Unit ConceptsTopics Number of Questions
Unit 1
Functions and Inverses
Compare relations and functions
Domain and range of functions
Library of Parent Functions amp characteristics
Transformations of Parent Functions
Find inverse functions algebraically (linear and simple quadratic)
Construct an inverse graph
3pt Multiple Choice 7
3pt Fill-in 2
5pt Short Answer 1
Unit 2
Quadratic Functions
Distributive Property ndash multiplication and factoring
Operations on Imaginary amp Complex Numbers
Solve quadratic equations o Take the square root o Factoring o Quadratic Formula o Complete the Square
Graph quadratic functions
Use quadratic functions to solve real-life problems
3pt Multiple Choice 7
3pt Fill-in 2
6pt Short Answer 1
Unit 3
Polynomials
Operations on polynomials
Graph polynomial functions
Solve polynomial equations
Write an equation of a graph
Connect the relationship among zeros factors roots and intercepts
Fundamental Theorem of Algebra
Interpret and solve problems involving polynomial functions
3pt Multiple Choice 7
3pt Fill-in 2
5pt Short Answer 1
Totals 3 pt Short Answer 21 3 pt Fill-in 6 56pt Short Answer 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 3
1 Consider the system of linear equations below How many answers does the system have
119910 = 6119909 + 5
119910 = 6119909 minus 5
(A) 0
(B) 1
(C) 2
(D) infinite
2 Consider the system of linear equations below How many answers does the system have
3119909 + 119910 = 9
6119909 + 2119910 = 18
(A) 0
(B) 1
(C) 2
(D) Infinite
3 Consider the system of linear equations below How many answers does the system have
119910 =1
2119909 + 3
2119910 minus 6 = 119909
(A) 0
(B) 1
(C) 2
(D) Infinite
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 4
4 A food distributor distributes boxes of cans of soup to retail stores Each can of soup is one
unit A unit is either a can of chicken soup or a can of tomato soup The cans are put into
boxes and each box can have up to 24 units composed of 119888 chicken and t tomato cans In
addition each box must have a least as many chicken cans as tomato cans Which of the
following systems of inequalities best models the situation described above
(A) 24 le 119905 + 119888119905 le 119888
(B) 24 le 119905 + 119888119888 le 119905
(C) 119905 + 119888 le 24119905 le 119888
(D) 119905 + 119888 le 24119888 le 119905
5 A Candy Store sells boxes of chocolate Each box of chocolate contains caramels and cream
chocolates Each box of chocolates contains a most 36 pieces In each box of chocolates
there needs to be at least twice as many caramels as there are creams If the number of
caramels is represented by x and the amount of cream is represented by y Which of the
following systems of inequalities best models the situation
(A) 119910 ge 2119909
119909 + 119910 le 36
(B) 119910 le 2119909
119909 + 119910 ge 36
(C) 119909 ge 2119910
119909 + 119910 le 36
(D) 119909 le 2119910
x+119910 ge 36
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 5
6 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 6
7 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 7
8 What is the domain of the function
(A) minus4 le 119905 le 4
(B) 4 ge 119905 ge minus4
(C) minus2 le 119905 le 2
(D) 2 ge 119905 ge minus2
9 What is the domain of the function
(A) minusinfin le 119905 ge infin
(B) minusinfin ge 119905 ge infin
(C) minusinfin le 119905 le infin
(D) minusinfin ge 119905 ge infin
10 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that 119891(119909) = |119909|
write an expression for ℎ(119909) in terms of x
(A) ℎ(119909) = minus|119909 minus 5| minus 2
(B) ℎ(119909) = minus|119909 minus 5| + 2
(C) ℎ(119909) = minus|119909 + 5| minus 2
(D) ℎ(119909) = minus|119909 + 5| + 2
t
h
t
h
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 8
11 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that
119891(119909) = (119909 minus 4)2 + 2 write an expression for ℎ(119909) in terms of x (Note there is no stretch or
compression)
(A) ℎ(119909) = minus(119909 minus 2)2 minus 3
(B) ℎ(119909) = minus(119909 minus 2)2 minus 3
(C) ℎ(119909) = minus(119909 + 2)2 minus 3
(D) ℎ(119909) = minus(119909 + 2)2 + 3
12 119892(119909) is a transformation of 119891(119909) The graph below shows 119891(119909) as a solid line and 119892(119909) as a
dashed line What is 119892(119909) in terms of 119891(119909)
(A) 119892(119909) = 119891(minus119909)
(B) 119892(119909) = minus2119891(119909)
(C) 119892(119909) = 119891(minus2119909)
(D) 119892(119909) = minus119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 9
13 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) + 119892(119909)
(A) 41199091199102 + 71199092 minus 41199092119910
(B) 31199091199102 + 71199092 minus 41199092119910
(C) minus21199092119910 minus 41199091199102 + 71199092
(D) minus101199092119910 + 41199091199102 + 71199092
14 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) minus 119892(119909)
(A) 41199102119909 + 71199092 minus 41199092119910
(B) minus21199091199102 + 31199092 minus 41199092119910
(C) 41199092119910 minus 21199091199102 + 71199092
(D) minus41199092119910 + 41199091199102 + 31199092
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 2
CP Algebra 2 Midterm Exam 2016-2017 BLUEPRINT
Unit ConceptsTopics Number of Questions
Unit 1
Functions and Inverses
Compare relations and functions
Domain and range of functions
Library of Parent Functions amp characteristics
Transformations of Parent Functions
Find inverse functions algebraically (linear and simple quadratic)
Construct an inverse graph
3pt Multiple Choice 7
3pt Fill-in 2
5pt Short Answer 1
Unit 2
Quadratic Functions
Distributive Property ndash multiplication and factoring
Operations on Imaginary amp Complex Numbers
Solve quadratic equations o Take the square root o Factoring o Quadratic Formula o Complete the Square
Graph quadratic functions
Use quadratic functions to solve real-life problems
3pt Multiple Choice 7
3pt Fill-in 2
6pt Short Answer 1
Unit 3
Polynomials
Operations on polynomials
Graph polynomial functions
Solve polynomial equations
Write an equation of a graph
Connect the relationship among zeros factors roots and intercepts
Fundamental Theorem of Algebra
Interpret and solve problems involving polynomial functions
3pt Multiple Choice 7
3pt Fill-in 2
5pt Short Answer 1
Totals 3 pt Short Answer 21 3 pt Fill-in 6 56pt Short Answer 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 3
1 Consider the system of linear equations below How many answers does the system have
119910 = 6119909 + 5
119910 = 6119909 minus 5
(A) 0
(B) 1
(C) 2
(D) infinite
2 Consider the system of linear equations below How many answers does the system have
3119909 + 119910 = 9
6119909 + 2119910 = 18
(A) 0
(B) 1
(C) 2
(D) Infinite
3 Consider the system of linear equations below How many answers does the system have
119910 =1
2119909 + 3
2119910 minus 6 = 119909
(A) 0
(B) 1
(C) 2
(D) Infinite
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 4
4 A food distributor distributes boxes of cans of soup to retail stores Each can of soup is one
unit A unit is either a can of chicken soup or a can of tomato soup The cans are put into
boxes and each box can have up to 24 units composed of 119888 chicken and t tomato cans In
addition each box must have a least as many chicken cans as tomato cans Which of the
following systems of inequalities best models the situation described above
(A) 24 le 119905 + 119888119905 le 119888
(B) 24 le 119905 + 119888119888 le 119905
(C) 119905 + 119888 le 24119905 le 119888
(D) 119905 + 119888 le 24119888 le 119905
5 A Candy Store sells boxes of chocolate Each box of chocolate contains caramels and cream
chocolates Each box of chocolates contains a most 36 pieces In each box of chocolates
there needs to be at least twice as many caramels as there are creams If the number of
caramels is represented by x and the amount of cream is represented by y Which of the
following systems of inequalities best models the situation
(A) 119910 ge 2119909
119909 + 119910 le 36
(B) 119910 le 2119909
119909 + 119910 ge 36
(C) 119909 ge 2119910
119909 + 119910 le 36
(D) 119909 le 2119910
x+119910 ge 36
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 5
6 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 6
7 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 7
8 What is the domain of the function
(A) minus4 le 119905 le 4
(B) 4 ge 119905 ge minus4
(C) minus2 le 119905 le 2
(D) 2 ge 119905 ge minus2
9 What is the domain of the function
(A) minusinfin le 119905 ge infin
(B) minusinfin ge 119905 ge infin
(C) minusinfin le 119905 le infin
(D) minusinfin ge 119905 ge infin
10 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that 119891(119909) = |119909|
write an expression for ℎ(119909) in terms of x
(A) ℎ(119909) = minus|119909 minus 5| minus 2
(B) ℎ(119909) = minus|119909 minus 5| + 2
(C) ℎ(119909) = minus|119909 + 5| minus 2
(D) ℎ(119909) = minus|119909 + 5| + 2
t
h
t
h
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 8
11 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that
119891(119909) = (119909 minus 4)2 + 2 write an expression for ℎ(119909) in terms of x (Note there is no stretch or
compression)
(A) ℎ(119909) = minus(119909 minus 2)2 minus 3
(B) ℎ(119909) = minus(119909 minus 2)2 minus 3
(C) ℎ(119909) = minus(119909 + 2)2 minus 3
(D) ℎ(119909) = minus(119909 + 2)2 + 3
12 119892(119909) is a transformation of 119891(119909) The graph below shows 119891(119909) as a solid line and 119892(119909) as a
dashed line What is 119892(119909) in terms of 119891(119909)
(A) 119892(119909) = 119891(minus119909)
(B) 119892(119909) = minus2119891(119909)
(C) 119892(119909) = 119891(minus2119909)
(D) 119892(119909) = minus119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 9
13 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) + 119892(119909)
(A) 41199091199102 + 71199092 minus 41199092119910
(B) 31199091199102 + 71199092 minus 41199092119910
(C) minus21199092119910 minus 41199091199102 + 71199092
(D) minus101199092119910 + 41199091199102 + 71199092
14 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) minus 119892(119909)
(A) 41199102119909 + 71199092 minus 41199092119910
(B) minus21199091199102 + 31199092 minus 41199092119910
(C) 41199092119910 minus 21199091199102 + 71199092
(D) minus41199092119910 + 41199091199102 + 31199092
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 3
1 Consider the system of linear equations below How many answers does the system have
119910 = 6119909 + 5
119910 = 6119909 minus 5
(A) 0
(B) 1
(C) 2
(D) infinite
2 Consider the system of linear equations below How many answers does the system have
3119909 + 119910 = 9
6119909 + 2119910 = 18
(A) 0
(B) 1
(C) 2
(D) Infinite
3 Consider the system of linear equations below How many answers does the system have
119910 =1
2119909 + 3
2119910 minus 6 = 119909
(A) 0
(B) 1
(C) 2
(D) Infinite
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 4
4 A food distributor distributes boxes of cans of soup to retail stores Each can of soup is one
unit A unit is either a can of chicken soup or a can of tomato soup The cans are put into
boxes and each box can have up to 24 units composed of 119888 chicken and t tomato cans In
addition each box must have a least as many chicken cans as tomato cans Which of the
following systems of inequalities best models the situation described above
(A) 24 le 119905 + 119888119905 le 119888
(B) 24 le 119905 + 119888119888 le 119905
(C) 119905 + 119888 le 24119905 le 119888
(D) 119905 + 119888 le 24119888 le 119905
5 A Candy Store sells boxes of chocolate Each box of chocolate contains caramels and cream
chocolates Each box of chocolates contains a most 36 pieces In each box of chocolates
there needs to be at least twice as many caramels as there are creams If the number of
caramels is represented by x and the amount of cream is represented by y Which of the
following systems of inequalities best models the situation
(A) 119910 ge 2119909
119909 + 119910 le 36
(B) 119910 le 2119909
119909 + 119910 ge 36
(C) 119909 ge 2119910
119909 + 119910 le 36
(D) 119909 le 2119910
x+119910 ge 36
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 5
6 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 6
7 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 7
8 What is the domain of the function
(A) minus4 le 119905 le 4
(B) 4 ge 119905 ge minus4
(C) minus2 le 119905 le 2
(D) 2 ge 119905 ge minus2
9 What is the domain of the function
(A) minusinfin le 119905 ge infin
(B) minusinfin ge 119905 ge infin
(C) minusinfin le 119905 le infin
(D) minusinfin ge 119905 ge infin
10 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that 119891(119909) = |119909|
write an expression for ℎ(119909) in terms of x
(A) ℎ(119909) = minus|119909 minus 5| minus 2
(B) ℎ(119909) = minus|119909 minus 5| + 2
(C) ℎ(119909) = minus|119909 + 5| minus 2
(D) ℎ(119909) = minus|119909 + 5| + 2
t
h
t
h
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 8
11 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that
119891(119909) = (119909 minus 4)2 + 2 write an expression for ℎ(119909) in terms of x (Note there is no stretch or
compression)
(A) ℎ(119909) = minus(119909 minus 2)2 minus 3
(B) ℎ(119909) = minus(119909 minus 2)2 minus 3
(C) ℎ(119909) = minus(119909 + 2)2 minus 3
(D) ℎ(119909) = minus(119909 + 2)2 + 3
12 119892(119909) is a transformation of 119891(119909) The graph below shows 119891(119909) as a solid line and 119892(119909) as a
dashed line What is 119892(119909) in terms of 119891(119909)
(A) 119892(119909) = 119891(minus119909)
(B) 119892(119909) = minus2119891(119909)
(C) 119892(119909) = 119891(minus2119909)
(D) 119892(119909) = minus119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 9
13 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) + 119892(119909)
(A) 41199091199102 + 71199092 minus 41199092119910
(B) 31199091199102 + 71199092 minus 41199092119910
(C) minus21199092119910 minus 41199091199102 + 71199092
(D) minus101199092119910 + 41199091199102 + 71199092
14 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) minus 119892(119909)
(A) 41199102119909 + 71199092 minus 41199092119910
(B) minus21199091199102 + 31199092 minus 41199092119910
(C) 41199092119910 minus 21199091199102 + 71199092
(D) minus41199092119910 + 41199091199102 + 31199092
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 4
4 A food distributor distributes boxes of cans of soup to retail stores Each can of soup is one
unit A unit is either a can of chicken soup or a can of tomato soup The cans are put into
boxes and each box can have up to 24 units composed of 119888 chicken and t tomato cans In
addition each box must have a least as many chicken cans as tomato cans Which of the
following systems of inequalities best models the situation described above
(A) 24 le 119905 + 119888119905 le 119888
(B) 24 le 119905 + 119888119888 le 119905
(C) 119905 + 119888 le 24119905 le 119888
(D) 119905 + 119888 le 24119888 le 119905
5 A Candy Store sells boxes of chocolate Each box of chocolate contains caramels and cream
chocolates Each box of chocolates contains a most 36 pieces In each box of chocolates
there needs to be at least twice as many caramels as there are creams If the number of
caramels is represented by x and the amount of cream is represented by y Which of the
following systems of inequalities best models the situation
(A) 119910 ge 2119909
119909 + 119910 le 36
(B) 119910 le 2119909
119909 + 119910 ge 36
(C) 119909 ge 2119910
119909 + 119910 le 36
(D) 119909 le 2119910
x+119910 ge 36
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 5
6 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 6
7 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 7
8 What is the domain of the function
(A) minus4 le 119905 le 4
(B) 4 ge 119905 ge minus4
(C) minus2 le 119905 le 2
(D) 2 ge 119905 ge minus2
9 What is the domain of the function
(A) minusinfin le 119905 ge infin
(B) minusinfin ge 119905 ge infin
(C) minusinfin le 119905 le infin
(D) minusinfin ge 119905 ge infin
10 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that 119891(119909) = |119909|
write an expression for ℎ(119909) in terms of x
(A) ℎ(119909) = minus|119909 minus 5| minus 2
(B) ℎ(119909) = minus|119909 minus 5| + 2
(C) ℎ(119909) = minus|119909 + 5| minus 2
(D) ℎ(119909) = minus|119909 + 5| + 2
t
h
t
h
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 8
11 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that
119891(119909) = (119909 minus 4)2 + 2 write an expression for ℎ(119909) in terms of x (Note there is no stretch or
compression)
(A) ℎ(119909) = minus(119909 minus 2)2 minus 3
(B) ℎ(119909) = minus(119909 minus 2)2 minus 3
(C) ℎ(119909) = minus(119909 + 2)2 minus 3
(D) ℎ(119909) = minus(119909 + 2)2 + 3
12 119892(119909) is a transformation of 119891(119909) The graph below shows 119891(119909) as a solid line and 119892(119909) as a
dashed line What is 119892(119909) in terms of 119891(119909)
(A) 119892(119909) = 119891(minus119909)
(B) 119892(119909) = minus2119891(119909)
(C) 119892(119909) = 119891(minus2119909)
(D) 119892(119909) = minus119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 9
13 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) + 119892(119909)
(A) 41199091199102 + 71199092 minus 41199092119910
(B) 31199091199102 + 71199092 minus 41199092119910
(C) minus21199092119910 minus 41199091199102 + 71199092
(D) minus101199092119910 + 41199091199102 + 71199092
14 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) minus 119892(119909)
(A) 41199102119909 + 71199092 minus 41199092119910
(B) minus21199091199102 + 31199092 minus 41199092119910
(C) 41199092119910 minus 21199091199102 + 71199092
(D) minus41199092119910 + 41199091199102 + 31199092
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 5
6 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 6
7 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 7
8 What is the domain of the function
(A) minus4 le 119905 le 4
(B) 4 ge 119905 ge minus4
(C) minus2 le 119905 le 2
(D) 2 ge 119905 ge minus2
9 What is the domain of the function
(A) minusinfin le 119905 ge infin
(B) minusinfin ge 119905 ge infin
(C) minusinfin le 119905 le infin
(D) minusinfin ge 119905 ge infin
10 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that 119891(119909) = |119909|
write an expression for ℎ(119909) in terms of x
(A) ℎ(119909) = minus|119909 minus 5| minus 2
(B) ℎ(119909) = minus|119909 minus 5| + 2
(C) ℎ(119909) = minus|119909 + 5| minus 2
(D) ℎ(119909) = minus|119909 + 5| + 2
t
h
t
h
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 8
11 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that
119891(119909) = (119909 minus 4)2 + 2 write an expression for ℎ(119909) in terms of x (Note there is no stretch or
compression)
(A) ℎ(119909) = minus(119909 minus 2)2 minus 3
(B) ℎ(119909) = minus(119909 minus 2)2 minus 3
(C) ℎ(119909) = minus(119909 + 2)2 minus 3
(D) ℎ(119909) = minus(119909 + 2)2 + 3
12 119892(119909) is a transformation of 119891(119909) The graph below shows 119891(119909) as a solid line and 119892(119909) as a
dashed line What is 119892(119909) in terms of 119891(119909)
(A) 119892(119909) = 119891(minus119909)
(B) 119892(119909) = minus2119891(119909)
(C) 119892(119909) = 119891(minus2119909)
(D) 119892(119909) = minus119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 9
13 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) + 119892(119909)
(A) 41199091199102 + 71199092 minus 41199092119910
(B) 31199091199102 + 71199092 minus 41199092119910
(C) minus21199092119910 minus 41199091199102 + 71199092
(D) minus101199092119910 + 41199091199102 + 71199092
14 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) minus 119892(119909)
(A) 41199102119909 + 71199092 minus 41199092119910
(B) minus21199091199102 + 31199092 minus 41199092119910
(C) 41199092119910 minus 21199091199102 + 71199092
(D) minus41199092119910 + 41199091199102 + 31199092
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 6
7 Which graph has an inverse that is not a function
(A)
(B)
(C)
(D)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 7
8 What is the domain of the function
(A) minus4 le 119905 le 4
(B) 4 ge 119905 ge minus4
(C) minus2 le 119905 le 2
(D) 2 ge 119905 ge minus2
9 What is the domain of the function
(A) minusinfin le 119905 ge infin
(B) minusinfin ge 119905 ge infin
(C) minusinfin le 119905 le infin
(D) minusinfin ge 119905 ge infin
10 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that 119891(119909) = |119909|
write an expression for ℎ(119909) in terms of x
(A) ℎ(119909) = minus|119909 minus 5| minus 2
(B) ℎ(119909) = minus|119909 minus 5| + 2
(C) ℎ(119909) = minus|119909 + 5| minus 2
(D) ℎ(119909) = minus|119909 + 5| + 2
t
h
t
h
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 8
11 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that
119891(119909) = (119909 minus 4)2 + 2 write an expression for ℎ(119909) in terms of x (Note there is no stretch or
compression)
(A) ℎ(119909) = minus(119909 minus 2)2 minus 3
(B) ℎ(119909) = minus(119909 minus 2)2 minus 3
(C) ℎ(119909) = minus(119909 + 2)2 minus 3
(D) ℎ(119909) = minus(119909 + 2)2 + 3
12 119892(119909) is a transformation of 119891(119909) The graph below shows 119891(119909) as a solid line and 119892(119909) as a
dashed line What is 119892(119909) in terms of 119891(119909)
(A) 119892(119909) = 119891(minus119909)
(B) 119892(119909) = minus2119891(119909)
(C) 119892(119909) = 119891(minus2119909)
(D) 119892(119909) = minus119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 9
13 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) + 119892(119909)
(A) 41199091199102 + 71199092 minus 41199092119910
(B) 31199091199102 + 71199092 minus 41199092119910
(C) minus21199092119910 minus 41199091199102 + 71199092
(D) minus101199092119910 + 41199091199102 + 71199092
14 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) minus 119892(119909)
(A) 41199102119909 + 71199092 minus 41199092119910
(B) minus21199091199102 + 31199092 minus 41199092119910
(C) 41199092119910 minus 21199091199102 + 71199092
(D) minus41199092119910 + 41199091199102 + 31199092
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 7
8 What is the domain of the function
(A) minus4 le 119905 le 4
(B) 4 ge 119905 ge minus4
(C) minus2 le 119905 le 2
(D) 2 ge 119905 ge minus2
9 What is the domain of the function
(A) minusinfin le 119905 ge infin
(B) minusinfin ge 119905 ge infin
(C) minusinfin le 119905 le infin
(D) minusinfin ge 119905 ge infin
10 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that 119891(119909) = |119909|
write an expression for ℎ(119909) in terms of x
(A) ℎ(119909) = minus|119909 minus 5| minus 2
(B) ℎ(119909) = minus|119909 minus 5| + 2
(C) ℎ(119909) = minus|119909 + 5| minus 2
(D) ℎ(119909) = minus|119909 + 5| + 2
t
h
t
h
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 8
11 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that
119891(119909) = (119909 minus 4)2 + 2 write an expression for ℎ(119909) in terms of x (Note there is no stretch or
compression)
(A) ℎ(119909) = minus(119909 minus 2)2 minus 3
(B) ℎ(119909) = minus(119909 minus 2)2 minus 3
(C) ℎ(119909) = minus(119909 + 2)2 minus 3
(D) ℎ(119909) = minus(119909 + 2)2 + 3
12 119892(119909) is a transformation of 119891(119909) The graph below shows 119891(119909) as a solid line and 119892(119909) as a
dashed line What is 119892(119909) in terms of 119891(119909)
(A) 119892(119909) = 119891(minus119909)
(B) 119892(119909) = minus2119891(119909)
(C) 119892(119909) = 119891(minus2119909)
(D) 119892(119909) = minus119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 9
13 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) + 119892(119909)
(A) 41199091199102 + 71199092 minus 41199092119910
(B) 31199091199102 + 71199092 minus 41199092119910
(C) minus21199092119910 minus 41199091199102 + 71199092
(D) minus101199092119910 + 41199091199102 + 71199092
14 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) minus 119892(119909)
(A) 41199102119909 + 71199092 minus 41199092119910
(B) minus21199091199102 + 31199092 minus 41199092119910
(C) 41199092119910 minus 21199091199102 + 71199092
(D) minus41199092119910 + 41199091199102 + 31199092
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 8
11 The graph of 119910 = ℎ(119909) is a transformation of the graph of 119910 = 119891(119909) Given that
119891(119909) = (119909 minus 4)2 + 2 write an expression for ℎ(119909) in terms of x (Note there is no stretch or
compression)
(A) ℎ(119909) = minus(119909 minus 2)2 minus 3
(B) ℎ(119909) = minus(119909 minus 2)2 minus 3
(C) ℎ(119909) = minus(119909 + 2)2 minus 3
(D) ℎ(119909) = minus(119909 + 2)2 + 3
12 119892(119909) is a transformation of 119891(119909) The graph below shows 119891(119909) as a solid line and 119892(119909) as a
dashed line What is 119892(119909) in terms of 119891(119909)
(A) 119892(119909) = 119891(minus119909)
(B) 119892(119909) = minus2119891(119909)
(C) 119892(119909) = 119891(minus2119909)
(D) 119892(119909) = minus119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 9
13 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) + 119892(119909)
(A) 41199091199102 + 71199092 minus 41199092119910
(B) 31199091199102 + 71199092 minus 41199092119910
(C) minus21199092119910 minus 41199091199102 + 71199092
(D) minus101199092119910 + 41199091199102 + 71199092
14 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) minus 119892(119909)
(A) 41199102119909 + 71199092 minus 41199092119910
(B) minus21199091199102 + 31199092 minus 41199092119910
(C) 41199092119910 minus 21199091199102 + 71199092
(D) minus41199092119910 + 41199091199102 + 31199092
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 9
13 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) + 119892(119909)
(A) 41199091199102 + 71199092 minus 41199092119910
(B) 31199091199102 + 71199092 minus 41199092119910
(C) minus21199092119910 minus 41199091199102 + 71199092
(D) minus101199092119910 + 41199091199102 + 71199092
14 119891(119909) = 1199091199102 + 51199092 minus 71199092119910
119892(119909) = minus31199092119910 + 31199091199102 + 21199092
Which of the following is equivalent to 119891(119909) minus 119892(119909)
(A) 41199102119909 + 71199092 minus 41199092119910
(B) minus21199091199102 + 31199092 minus 41199092119910
(C) 41199092119910 minus 21199091199102 + 71199092
(D) minus41199092119910 + 41199091199102 + 31199092
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 10
15 119892(119909) = 1198861199092 minus 22
For the function g defined above a is a constant and 119892(3) = 50
What is the value of 119892(minus4)
(A) 106
(B) -150
(C) 16
(D) 48
16 119892(119909) = 119886119909 + 6
For the function 119892 defined above 119886 is a constant and 119892(5) = 66
What is the value of 119892(minus7)
(A) minus90
(B) 90
(C) minus78
(D) 78
17 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) minus8
(B) minus4
(C) minus3
(D) 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 11
18 The complete graph of the function 119891 is shown in the xy-plane below For what value of 119909 is
the value of 119891(119909) at its minimum (scale =1)
(A) 7
(B) minus1
(C) minus9
(D) minus4
19 3119909 + 4119910 = 10
minus2119909 + 4119910 = 20
According to the system of equations above what is the value of x
20 119909 minus 119910 = 12
minus119909 + 3119910 = minus6
According to the system of equations above what is the value of x
119891(119909)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 12
21 A function 119891 satisfies 119891(2) = 12 and 119891(6) = minus4 A function 119892 satisfies 119892(2) = 6 and
119892(6) = 2 What is the value of 119891(119892(2))
(A) 12
(B) minus4
(C) 6
(D) 2
22 A function 119891 satisfies 119891(minus6) = 12 and 119891(0) = minus4 A function 119892 satisfies 119892(0) = minus6 and
119892(6) = 2 What is the value of 119891(119892(0))
(A) 12
(B) minus4
(C) minus6
(D) 2
23 119891 (119909) = 1198861199092 + 3
For the function f defined above a is a constant greater than zero Which of the following is
NOT true
a) Axis of symmetry of the graph is x = 0
b) The line y = 3 intersects the graph of f at two points
c) Domain of f is (-infin infin )
d) Range of f is [ 3 infin )
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 13
24 ℎ(119909) = 1198861199092 + 12
For the function 119891 defined above 119886 is a constant greater than zero Which of the following is
NOT true
(A) Range of f is (minusinfin 12]
(B) ℎ(119909) = ℎ(minus119909)
(C) Axis of symmetry of the graph of ℎ is 119909 = 0
(D) The line 119910 = 12 intersects the graph of f at one point
25 Determine the axis of symmetry of
(A) 119910 = 1199092 minus 4119909 minus 21 (B) 119910 = (119909 minus 2)(119909 + 4) (C) y = (119909 + 2)2 + 4
26 119891(119909) = minus1198861199092 + 119887119909 + 119888
For the function 119891 defined above a b and c are constants greater than zero Which of the
following is true
(A) Range of f is all real numbers
(B) ℎ(119909) = minusℎ(119909)
(C) Axis of symmetry of the graph of f is 119909 =minus119887
2119886
(D) Axis of symmetry of the graph of f is 119909 =119887
2119886
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 14
27 What is the equation of the axis of symmetry for the parabola 119910 = 31199092 minus 24119909 + 9
(A) 119910 = 4
(B) 119910 = minus4
(C) 119909 = 4
(D) 119909 = minus4
28 ℎ = minus491199052 + 34119905
The equation above expresses the approximate height ℎ in meters of a ball 119905 seconds after it
is launched vertically upward from the ground with an initial velocity of 34 meters per
second After approximately how many seconds will the ball hit the ground
(A) 69
(B) 80
(C) 85
(D) 7225
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 15
29
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 + 3)(119909 minus 2)
(B) 119910 = (119909 minus 6)(119909 + 1)
(C) 119910 = 119909(119909 minus 6) minus 15
(D) 119910 = (119909 minus 25)2 minus 25
30
Which of the following is an equivalent form of the equation of the graph shown in the 119909119910-plane
above from which the coordinates of vertex 119860 can be identified as constants in the equation
(A) 119910 = (119909 minus 5)(119909 minus 55)
(B) 119910 = (119909 + 5)(119909 + 55)
(C) 119910 = 119909(119909 minus 6) + 15
(D) 119910 = (119909 + 3)2 minus 6
119910 = 1199092 minus 5119909 + 6
119910 = 1199092 + 6119909 + 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 16
31 What is the sum of all values of 119898 that satisfy 1198982 minus 9119898 + 20 = 0
(A) 0
(B) 9
(C) minus9
(D)minus20
32 What is the sum of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 0
(B) 3
(C) minus3
(D) minus10
33 What is the product of all values of 119898 that satisfy 1198982 + 3119898 minus 10 = 0
(A) 10
(B) minus10
(C) minus3
(D) 3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 17
34 What is the sum of all values of x that satisfy 1199092 minus 4119909 minus 12 = 0
(A) 4
(B) minus2
(C) 6
(D) minus4
35 What is the sum of all values of x that satisfy 21199092 + 7119909 + 3 = 0
(A) minus1
2
(B) minus7
2
(C) minus1
(D) minus3
2
36 119910 = 1199092 minus 7119909 + 10
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 10 = 1199092 minus 7119909
(B) 119910 + 2 = (119909 + 3)2
(C) 119910 = 119909(119909 minus 7) + 10
(D) 119910 = (119909 minus 5)(119909 minus 2)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 18
37 119910 = 1199092 + 9119909 + 14
The equation above represents a parabola in the xy-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 14 = 1199092 + 9119909
(B) 119910 + 9 = (119909 + 4)2
(C) y = x( x + 9) + 14
(D) y = (x + 7)(x + 2)
38 119910 = 1199092 minus 6119909 + 5
The equation above represents a parabola in the 119909119910-plane Which of the following equivalent
forms displays the x-intercepts of the parabola as constants or coefficients
(A) 119910 minus 5 = 1199092 minus 6119909
(B) 119910 = (119909 minus 1)(119909 minus 5)
(C) 119910 = 119909(119909 minus 6) + 5
(D) 119910 + 4 = (119909 minus 3)2
39 ℎ = minus161199052 + 128119905
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 128 feet per second What is the
maximum height the object will achieve
(A) 4
(B) 8
(C) 128
(D) 256
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 19
40 ℎ = minus161199052 + 32119905 + 8
The equation above expresses the height in feet of an object 119905 seconds after it is launched
from the ground vertically upward with an initial velocity of 32 feet per second When will
the object be at the maximum height
(A) 1
(B) 2
(C) 24
(D) 56
41 119910 = 119886(119909 minus 2)(119909 + 4)
In the quadratic equation above 119886 is a nonzero constant The graph of the equation in the
119909119910-plane is a parabola with vertex (119888 119889) Which of the following is equal to 119889
(A) minus119886
(B) minus3119886
(C) minus4119886
(D) minus9119886
42 Solve a ndash h
a) 21199092 minus 50 = 0
b) 1199092 minus 5119909 minus 14 = 0
c) 1199092 + 27 = 0
d) 1199092 minus 4x = minus9
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 20
e) 84 = 41199092 + 20
f) 41199092 minus 20119909 minus 24 = 0
g) 2(119909 minus 3)2 minus 32 = 0
h) 5(119909 minus 3)2 + 45 = 0
43 What are the solutions to 21199092 + 8119909 + 4 = 0
(A) 119909 = minus2 plusmn radic2
(B) 119909 = minus8 plusmn 2
(C) 119909 = minus8 plusmn radic2
(D) 119909 = minus6 plusmn 6radic2
44 What are the solutions to 61199092 + 119909 minus 12 = 0
(A) 119909 = minus3 119900119903 4
(B) 119909 = minus3
2 119900119903
4
3
(C) 119909 = plusmn1
12
(D) 119909 = 3
2 119900119903 minus
4
3
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 21
45 2119909(4119909 + 6) + 7(4119909 + 6) = 1198861199092 + 119887119909 + 119888
In the equation above 119886 119887 and 119888 are constants If the equation is true for all values of 119909
what is the value of 119887
(A) 8
(B) 36
(C) 40
(D) 42
46 6119909(3119909 minus 5) + 2(4119909 + 2) = 1198861199092 + 119887119909 + 119888
In the equation above ab and c are constants If the equation is true for all values of x what
is the value of b
47 minus2119909(3119909 + 6) minus (4119909 minus 3) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 22
48 119909(2119909 + 7) minus 9(2119909 + 7) = 1198861199092 + 119887119909 + 119888
In the equation above a b and c are constants If the equation is true for all values of x what
is the value of b
(A) 2
(B) minus9
(C) minus11
(D) minus63
49 If 119894 = radicminus1 what is the product of (3 minus 4119894)(6 + 8119894)
(A) 50
(B) minus50
(C) 24
(D) minus24
50 If 119894 = radicminus1 what is the product of (7 + 3119894 ) ( minus8 + 9119894 )
51 Simplify
a) (5 + 3119894) minus (2 minus 2119894)
b) (7 + 2119894) + (minus3 minus 4119894)
c) (4 + 2119894)(minus3 + 4119894)
d) (4 + 2119894)(4 minus 2119894)
e) (5 minus 2119894)(4 minus 119894) + 3119894
f) (3 + 119894)(5 minus 2119894) + (7 + 5119894)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017
52 What is the degree of the polynomial
(A) 119891(119909) = 81199094 + 61199099 + 4119909 minus 24
(B) 119892(119909) = 1199095 + 41199093 + 2119909
(C) ℎ(119909) = 250 + 125119909
53 You are make a garden with a sidewalk going around the garden The garden is 5 feet by 5
feet You want the boarder to be a uniform width You have 36 square feet of material to
make the boarder What width should the boarder be
5 ft
5 ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 24
54 You are make a table with a glass top surrounded by a maple wood border The glass is 10
feet by 10 feet You want the wood border to be a uniform width You have 224 square feet
of material to make the border What width should the border be
55 John threw a ball off the top of Stamford High School The height as a function of time can
be modeled by the function ℎ(119905) = minus161199052 + 48119905 + 160 where 119905 is the time in seconds and
ℎ is the height in feet
a How long did it take for the ball to reach its maximum height
b What was the highest point that the ball reached
c When did the ball hit the ground
10ft
ft
10ft
ft
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 25
56 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus 9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909
(C) 71199094 minus 21199093 + 41199092 + 1199091
3 + 6
(D) 9
57 Which of the following is NOT a polynomial
(A) 21199093 + 41199092 minus radic9119909 + 6
(B) minus71199094 +2
31199093 minus 51199092 minus 119909 + radic8
(C) 71199094 minus 21199093 + 41199092 + 119909 + 6
(D) 9119909 + 7
58 Determine the x-intervals for which the graph of f(x) below is increasing
(A) (minusinfin infin)
(B) (minusinfin minus3) (02)
(C) (minus30) (2 infin)
(D) (minus32)
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 26
59 Determine the x-intervals for which the graph of f(x) below is decreasing
(A) (minusinfin minus1) (5 infin)
(B) (minusinfin infin)
(C) (minus15)
(D) (28 minus80)
60 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 1199093 minus 51199092 minus 12119909 + 36 which of the
following is a factor of the polynomial
(A) 119909 minus 6
(B) 119909 minus 1
(C)
(D)
61 Given that 119909 = 2 is a zero of the polynomial 119891(119909) = 21199093 + 1199092 minus 8119909 minus 4 which of the
following is a factor of the polynomial
(A) 119909 + 6
(B) 119909 + 2
(C)
(D)
x +1
x + 4
x +1
x + 4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 27
62 For a polynomial p(x) the value of 119901(5) = 7 Which of the following must be true about
119901(119909)
(A) 119909 minus 5 is a factor of 119901(119909)
(B) 119909 minus 7 is a factor of 119901(119909)
(C) 119909 + 7 is a factor of 119901(119909)
(D) The remainder when 119901(119909) is divided by 119909 minus 5 is 7
63 Simplify
a (31199093 + 21199092 minus 9119909 + 16) + (51199093 + 5119909 minus 8)
b (minus51199093 + 41199095 minus 111199092 + 6) minus (1199095 + 71199092 + 5)
64 Which of the following is equivalent to the expression 161198864 minus 251198874
(A) (41198862 minus 51198872)2
(B) (41198862 minus 51198872)(41198862 + 51198872)
(C) (4119886 minus 5119887)(4119886 + 5119887)
(D) (4119886 minus 5119887)4
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 28
65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
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65 Which of the following is equivalent to the expression 21199093 + 131199092 minus 8119909 minus 52
(A) 151199095 minus 64119909
(B) (1199092 minus 4)(2119909 + 13)
(C) (2119909 + 5)(119909 + 6)(119909 minus 2)
(D) 2119909(119909 + 13)(minus15119909 + 4)
66 Determine the complex zeros of the polynomial 119891(119909) = (119909 + 2)(119909 minus 6)(1199092 + 9)
(A) minus2 6 3 minus3
(B) minus2 6 3119894 minus3119894
(C) 2 minus6 9 minus9
(D) 2 minus 6 9119894 minus9119894
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
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SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 29
67 Use the following equation 119891(119909) = minus(119909 + 3)2 + 4 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
Be accurate on drawing your graph
68 Use the following equation 119891(119909) = 2|119909 minus 1| minus 6 to answer questions
a Identify and describe all of the transformations from the parent function to the given
function
b Graph the parent function with a dashed line
c Graph the function with a solid line
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
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SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 30
69 Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends
His height as a function of time could be modeled by the function
where t is the time in seconds and h is the height in feet
a How long did it take for Jason to reach his maximum height
b What was the highest point that Jason reached
c Jason hit the water after how many seconds
70 A penny is dropped from the top of Dubairsquos newest skyscraper The distance d in feet
between the penny and the ground t seconds after it dropped is given by
119889 = minus161199052 + 2700
How long after the penny is dropped does it hit the ground
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
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SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 34
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 31
71 Use the graph below
a Is the leading coefficient positive or negative Why
b How many real zeros do you see in the graph
c Approximate the value of each zero(s)
d What is the smallest degree for this function Why
e Describe the end behavior
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SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 32
SPS Math CP Algebra II Midterm Exam Review 2016 ndash 2017 33
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