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-21AnnR.wallesui 1 2 3 4 5 6

113

4,

X

A y < —2x + 2

B y 1 2x + 2

1y> -2x + 2

D y' 2x 11 2

ID

en asked to state a reasonable domain for afunction, Maxwell answered, "The domain isall whole numbers between 0 and 50." Towhich situation could he have been referring?

t, A rental car agency charges $19 per day plus 10 cents per mile to rent a certain car.Another agency charges $21 per day plus 5 cents per mile to rent the same car. Howmany miles per day will have to be driven for the cost of a car from the first agency toequal the cost of a car from the second agency?

F 80 miles per day

40 miles per day.

H 400 miles per day

J 800 miles per day

Which inequality is shown?

As a mechanic specializing in foreigncars, Joshua earns $18 per hour when heis working on a car. In addition, the shopwhere Joshua works pays him $40 perday. Which equation below bestdescribes the amount of money, a, thatJoshua makes in a five day work weekbased on the number of hours, h, he is

working on a car?

A h 18a + 40

13 h = 18a + 40(5)

a = 18h + 40

a = 18h + 40(5)A The distance an average person can run

versus the number of hours spent running

The height of a stack of pennies versusthe number of pennies in the stack

C The outside temperature versus the timeof day

D A dog's weight versus its age in years

How does the graph of y = 4x + 5 compare to the graph of y = 9x + 5?

The slope of y = 4x + 5 is less steep.

The slope of y = 4x + 5 is steeper.

The graph of y = 4x + 5 has a smaller y-axis intercept.The graph of y = 4x + 5 has a larger y-axis intercept.

The graph of y 4x + 5 is parallel to the graph y = 9x + 5 .

7-6

A certain job pays $12 per hour for all hours up through 40 hours per week, and pays $18 perhour for all additional hours. Which of the following represents the piecewise function for weeklypay, P, in dollars, in terms of the number of hours, h, worked during that week?

j12h if 0<h<_40P° ) = 118(h — 40) + 480 if h > 40

B.\ 1.12h if 0<h540P ki I M8(h-12)+480 if h > 40

12h if 0 <h � 40(h)P = 118h if h 40

{12 if 0<h � 40

The statement 5 (x + 10) = 5x + 50 illustrates which of the following properties?

Associative Property of Multiplication

Commutative Property of Multiplication

P (h) =18h if h > 40

05 Distributive Property

D. Identity Property of Multiplication

Simplify (5x 2 + 3) + ( — 2x2 +

A

C

D

3x2 — 1

3 + 7

7x2 + 7

—10x 4 + 14x2 + 12

Which system's solution is represented bythe graphs shown below?

What is the range of f(x) = x2A All real numbersa. y -=-- 2x + 3 y 2x — 6

y = 1 - X - 61y ------- -5- x+ 33

All real numbers 8C All real numbers 8

c. y - 5x — 6 d. y -= 5x + 3 D • All positive real numbers_,_y 1 X --, 6

4).

+ 8?

8 y = 625

X

_ 16 — 125x

625 y = x8

125 D y= 16 x

x

J h(x) = + 61.532.90

Which of the following best represents the

parent function of y = 7 2 - 8?

3A y = 77-x

3 2B y = --7-x D y = x

^y

0 X

e Which of the following is NOT the graph of a function?

A y

Find the product (x + a)(x — a).X2 a2

x2 + a2

C 2x — 2a

D 2x + 2a

0 x

The amount of chlorine, y, needed for aswimming pool varies directly with theamount of water, x, needed to fill the pool.If 16 units of chlorine are needed for every1250 gallons of water, which of the followingrepresents the equation of direct variation?

oe'

y. The height in centimeters, h(x), of a humanfemale of European ancestry can be estimatedby multiplying the length of the tibia incentimeters, x, by 2.90 and then adding 61.53to the product. Which of the following bestrepresents this relationship?

F h(x) = (2.90 + x)(61.53)

C.

G h(x) = 2.90(x + 61.53)

h(x) = 2.90x + 61.53

B

C

Cc: Marcie wants to use her graphingcalculator to graph the following equation.

3x+6- 4y - 4 =18

She knows that she must first solve for yto input the equation into the calculator'sgraphing utility.

Step 1:3x+ 6 -4y-4 =18Step 2 : 3x-4y+ 2 =18,Step 3 :Step 4 : 3x -4y =16Step 5 : 3x -3x - 4y = -3x +16

-4y -3x +16=Step 6 :

-4 -4

Step 7 : y = 3x-44

Which equation below best describes themissing Step 3?

3x- 4y+2- 2 =18-2

B 3x- 4y -- 4 =18-4

C 3x-4y-6=18-6

D 3x-4y+4-2 =18-2

Find the point where the lines whose equationsare y = 3x and y = x + 16 intersect.

g(8, 24)

(4, 20)

C (4, 12)

(0, 0)

Linda was given the parent graph for f (x) .

If she completes the transformation of theparent to —f (x) , describe the effects on thegraph.

A The graph would be a verticaltranslation.

The graph would be reflected over thex-axis.

C The graph would be a horizontaltranslation.

D The graph would be reflected over they-axis

10,

1)

Which graph represents the sliution,setfor - -s4— 8 3 /

/ I I H1

B

-

I

-1 II >x

3 0 1 2

C x-1 0

2 3

What is the volume of a cube with an edge

length of -ix 2 units?

8 125 X 6 cubic units

25 X 4 cubic units

2 6 •—5 x cubic units

A 1 2 3-1 0 4

CIj -0 I-1 0 1 2 3

x ll 24 4 .T-5 x cubic units

7-q

/ f From the answer choices below, describe thecontinuity of this graph.

Deer Ling on the intervals [-3, -2] and[2 ; increasing on [-1 ]; constant on[-2, 71] and [1z2]'

B Increasing on the intervals [-3, -2] and[2, 4]; decreasing on [-1, 1]; constant on[-2, -1] and [1, 2]

C Decreasing on the intervals [-3, -1] and4]; increasing on [-2, 1]

D Decreasing on the intervals [-3, -2] and4]; increasing on [-1, 1]

If the graph of y 2 - 1 is translated up

4 units, which of the following equations

represents the resulting graph?

F y=--3x2-4

y= x2+34

H y=30c2+4

J 3X 2y=71.

Heather fixes computers at customer's homes.She charges $50 for the service call and $25an hour for every hour she is there. Heather'sincome from each service call can beexpressed by the function c(h) = 50 + 25h,where c represents her income and hrepresents the hours worked.

In this situation, what are the dependent andindependent quantities, respectively?

A Income, number of service calls

Income, hours worked

C Hours worked, income

D Number of service calls, hours worked

y, Which ordered pair given below is asolution to the inequality 2x + y � —6?

A (4, —16)

B (4, —10)

C (-4, —16)

D (-4, —10)

Which of the following describes the graph off(x) = (x — 2)(x — 3)?

A The graph opens down and has x-interceptsat (-2, 0) and (-3, 0).

B The graph opens down and has x-interceptsat (2, 0) and (3, 0).

C The graph opens up and has x-intercepts at(-2, 0) and (-3, ()'k) The graph opens up and has x-intercepts at(2, 0) and (3, 0)..

7-S

B

C

D

When

number.

The

A

B

equation.graph of f(x) is shown below. Find its Mario set the window on his graphing

calculator with the following values.

x min -4-5

min -5

x max7= 5

y max = 15

Which of the following sets of orderedcould have been displayed in the windowwhen he created his scatter plot?

A t.,...77), (1, 7), (4, 13), (6, 17)

y == 2.5x + 5

y 2x + 5

y = -2.5x + 5

y -2x + 5 B (0, 5), (5, 15), ( ig , 25), (15, 35)

(-4, -3), (-2, 1), (0, 5), (3, 11) ,}

D (-5, -5), (-4V -7), (-7, -9), (-8, -1)

the product of three and a number is Mr. Kumar is five time Jdas Ben. Inincreased by-i-nrieT the result is two less than the years, he will e three times as old as Ben.

What is this written in equation form? How old is Mr. Kumar now?3x + 9 = x - 2

/•/ 30 C 353x + 9 = - x

3(x + 9) = x - 2 )06 i-ei)'/`4 B 32 D 36

3(x + 9) = 2 - x-/)L. 027 7 -

(26

1‘/Th TY(117./.5„. ;

pairs

six

Which of the following describes a situation that might be represented by the equation y = 20 - 3x ?

the cost in dollars, y , of renting a video game machine that costs $20 and x games at a costof $3 per game

the cost in dollars, y , of paying a $20 membership fee and renting x videos at a cost of $3per rental

C. the amount of money in dollars, y , that Shannon spends on x packages of pens that cost $3per package

the amount of money in dollars, y , that Shannon has left after paying for x notebooks that

cost $3 each with a $20 bill

1 2 3 4 r

Time

120

y

11010090

x

co

00)a)

807060

504030

2010

2_,In the sequence below, 5 is the first termwhen x 1.

5, 10, 15, 20, 25, ...

Find a linear equation that could generatethis sequence.

A y = x + 5 C y X5

y = 5x D y =

While attending a professional baseball game,Brandon caught a home run ball hit by amember of the visiting team. To showsupport for the home team, Brandon threw theball back onto the playing field. The graph ofthe height of the ball, in feet, versus the timeafter the ball left Brandon's hand, in seconds,is shown below.

Jim charges customers a flat fee of $20 plus anadditional $7 per hour to mow lawns. Whichwould be the equation representing how muchJim charges to mow a lawn that takes x hours if \his flat fee increased by 50%? •

y = 7x + 10

y = 7x + 20

C y = 7x + 30

y = 7x + 40

About how many feet above the playing fieldwas Brandon's seat?

A 4 feet

24 feet

86 feet

110 feet

The table of values represents a function y that isinversely proportional to x.

X 1 11 1 2 4

y 16 8 4 2 1

Which equation represents the function?

A y = 4x C y= zs

y = x4

D y = 16x

•

The number of tasks that Gershon completes ina day is inversely proportional to the amount ofsleep he_ gets each night. If Gershon gets 8 hoursof sleep, he can complete 21 tasks. How-manytasks can Gershon complete if he gets 6 hoursof sleep?A 168B 126

C 48

28

Cost of Collectable Coins

0

Bill bought United States Coins and totaled urfCCost of the coins. The scatter plot below showsthe total cost for the coins to the number of coins Bill bought . Which can be inferred based onthis scatter plot?

A. The cost of 25 coins will be less than 25 dollars.The price of 17 coins would be between 20 and 25 dollars.Bill is only buying the same type of coins.The cost of 5 coins would be greater than 10 dollars.

E. Bill bought 20 coins for less than 20 dollars.,

30

25

20

0c

cuU

a.

15

10

5

0 0

0 5 10 15 20 25

Number of Coins— __________ __-___________________I

Which statement is false?

1 -19 is an integer.

-19 is an irrational number.

C -19 is a rational number.

D -19 is a real number.

10,

a.

The equation .), = 35x represents the distance,in miles, of a car from home after x hours. If theslope is increased to 40, how would that affectthe car?

The car's speed, in miles per hour, wouldincrease from 35 to 40.

B The car's speed, in miles per hour, wouldincrease from 0 to 40.

C The car's initial distance from home, inmiles, would increase from 35 to 40.

D The car's initial distance from home, inmiles, would increase from 0 to 40.

A taxi service charges $1.50 for every miletraveled. The rate, in dollars per miler_wasincreased during a holiday to timeand a haWhat is the slope of the line repr—e-sentiiiithenew amount of money charged, in dollars,for x miles traveled?

A 0.75

B 2

6) 2.25

D 3

S., The line = = mx + 7 is perpendicular to the line y = —3 x — 9. What is m?4

A 34

C 4

3

B 34

4

3

0

1

1114101MU' I MN10

How many zeros does the function y x2 — 2x + 2have?

C 2

D More than 2

x

The height, h, and base, b, measurements for three similar triangles are shown in the table.1 ap

Trian gle Baser(centimeters)

Fleight(centimeters)

AFGH / 3.8 17.1

AJKL • ., 5.4 24.3

APQR 1.6 7.2

Which function represents the relationship between the height and base of each of these triangles?

A h = 4 b1

h = —5b

C h = 5b — 1.9

h = 4.5b

4 What value of b in the equation

x2 +bx-15 = 0 would give the solution(s)represented in the computer-generated graphshown below? )

Which of the following has a slope twice as steepas the equation y 3x + 1?

y = 6x + 1

y = + 2

C y 3x + 2

y = 2x + 1

Which inequality is equivalent to x — y � 7?A y x + 7

C y x — 7B y x + 7 y x — 7

Which of the functions graphed below is (a considered to be parent functions?

I

II

III

i

(17C

ki

'1/4... nd II only

I only

II only

III only

Which description best compares the graphs givenby the equations 2x + y = 7 and x — 2y = 4?

A Parallel

B Coincident

Perpendicular

D Intersecting but not perpendicularAaron has a set of algebra tiles as shownbelow.

y y yWhich line has the same slopeas the line y = x?

A y = 3x

B y +

C x+y= 1

x — y 1

x x y

What is the area of(,t le figure below?

6Given the rational function

f(x)7x

(x-4)(x-8)'A 4y + 4x what are the restrictions on the domain?

B x2 + 8y x � 4, x 8

C x2 + y

2 B x x —8

y2 2xy C no restrictions on x

D x � 4, x � 8, x � —7

- - I

a7

9a

785

432

• 1111011111111111111/21111111110111EIC

or 9

A

-8 -8

-2-3-4

7

y9876643

4 876 9

-234

7

F x B

y

-6-7 -4-6

yA

87854

2

-8 -3

-2-34

-7

2 3 7 8 9Jx

-23

-4

-6

7-8

y9

-5 -•4 -3 4-74-6

N8

76543

2, A line contains the pointsFind its slope.0

' 2 C 45B 4 D 18

9 5

(7, 11) and (-2, —7). Which describes the relationshipthe table?

A Pay equals $12.3T : Pay equals $12 times

Pay equals $12 plus hours.D Pay equals 12 hours.

for the inequalityWhich describes the function

C (5, 2) A Exponential C

D (8, 5) B Linear

Hours 1 2 3 4 5Pay $12 $24 $36 $48 $60

hours.

shown in

Which point is a solution3x —, 2y < 5? ..

r ( Z. -)

(A) (2, 3) ) ---*

B (3, 2)

3., fix) =

Not Here htliA090\1(/Quadratic

ow- avi octi 01)

Which graph best represents the function y = 0.8x + 1.4?

x

X

4

Simplify -\6:12s5ti°

Which of the following best shows the graph of y 2x?

Ay

C

x

D

2

3 -

-2

What is the Domain of the following equation: y= — (-5x-1-10)given the 1;Wrige of { —20, — 5, 0, 5}?

7

Find the y4ntercept of the line9y — 3x = 11.

{ — 2; 3, 1, 2){6, 3, 2, 1}/

A _119

C 13

{— 6, — 3, — 2, — 1} B 9

{ 1, 2,3J

, 4}

;1) .;E. {— 2, 1, 0, 3}

41.0Li 1-

What are the solutions of the equation x2 - 3x — 1 ==2±Airej)

F

—3+4g and —3-46

H2 2

04-1'‘‘

3+J13 and 3-413—3 +213 and

—3-24

13G 2 2

( -'

3 3 —.16 and

2 2

A

B

D

r2s,/§ItI2

r6s3t2

7.6s2-415

jr16s3t5

I/1