Semester A Exam

Multiple Choice1.   Identify a pattern and find the next number in the pattern.

0.9, 3.6, 14.4, 57.6  (1 point)4403.257.6230.4 i have different question

2.   Name the property of real numbers illustrated by the equation.

–4(x + 4) = –4x – 16  (1 point)Associative Property of AdditionCommutative Property of AdditionAssociative Property of MultiplicationDistributive Property----this one

3.   Solve the compound inequality. Graph the solution.5x + 11 ≥ –9 and 10x – 3 ≤ 27  (1 point)

x ≥ –4 and x ≤ 3 this one

x ≥ –4 and x ≤ 2

x ≥  or x ≤ 2

x ≥  or x ≤ 3

4.   Solve the absolute value equation. Graph the solution.

│3x + 1│ = 1  (1 point)

x = 1 or x =

x =  or x = 0

x = 1 or x = –2this one x = 1 or x = 0

5.   Find the domain and range of the relation and determine whether it is a function.

 (1 point)this one Domain: positive integers; range: positive integers; no, it is

not a function.Domain: x > 3; range: y > 0; yes, it is a function.Domain: all real numbers; range: all real numbers; yes, it is a function.Domain: x > 0; range: y > 3; no, it is not a function.

6.   Write the equation in slope-intercept form. What are the slope and y-intercept?

–12x + 11y = –8 (1 point)

c is the answer

7.   Write an equation of the line, in point-slope form, that passes through the two points.

Points (–13, 9), (11, –3)

 (1 point)

(y + 9) = – (x – 13)

Different question (y – 9) = –  (x + 13)(y – 9) = –2 (x + 13)(y + 9) = –2 (x – 13)

8.   You research the cost of a gallon of gasoline over several years to look for a trend. The table shows your data. What is a line of best fit for the data? Based upon these prices, how much would you expect to pay in 2026?

 Year 1980  1984 1988 1992 1996 2000 2004 2008

 Price per Gallon $1.25  $1.27  $1.05  $1.28  $1.43   $1.68 $2.11  $3.72

 (1 point)y = 0.347x + 0.856; $9.88

this one y = .087x – 171.26; $5.01y = 0.134x + 1.25; $7.41y = 0.087x + 0.587; $4.59

9.   Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the parent function?

y = │8x – 2│ – 7 (1 point)

This is the one

10.   Write an inequality for the graph.

   (1 point)–4x + 3y ≥ – 123x – 4y ≥ – 12

Diff question –4x + 3y ≤ – 123x – 4y ≤ – 12

11.   Without graphing, is the system independent, dependent, or inconsistent?

 (1 point)dependentindependent

this one i think inconsistent

12.   Your furniture store sells two types of dining room tables. The first, type A, costs $207, and you make a $29 profit on each one. The second, type B, costs $181, and you make a $19 profit on each one. You can order no more than 190 tables this month, and you need to make at least $4,610 profit on them. If you must order at least one of each type of table, how many of each type of table should you order if you want to minimize your cost?  (1 point)

90 of type A; 100 of type Bdifferent 111 of type A; 79 of type B

79 of type A; 111 of type B100 of type A; 90 of type B

13.   Which matrix represents the system of equations below?

 

 (1 point)

This one

14.   Which graph represents y = 3(x – 3)2 + 3?  (1 point)

IDK

15.   You live near a bridge that goes over a river. The underside of the bridge is an arch that can be modeled with the function y = –0.000471x² + .837x where x and y are measured in feet. How high above the river is the bridge (the top of the arch)? How long is the section of bridge above the arch?  (1 point)

The bridge is about 1,777.07 ft. above the river, and the length of the bridge above the arch is about 888.54 ft.The bridge is about 371.85 ft. above the river, and the length of the bridge above the arch is about 1,777.07 ft.The bridge is about 371.85 ft. above the river, and the length of the bridge above the arch is about 888.54 ft.The bridge is about 1,777.07 ft. above the river, and the length of the bridge above the arch is about 371.85 ft. IDK

16.   What is the equation, in standard form, of a parabola that models the values in the table?

x –2 0 4

f(x) 2.5 1.5 -60.5 (1 point)

IDK y = –5.5x2 – 2.5x + 1.5y = –2.5x² – 5.5x + 1.5

y = 2.5x² + 2.5x – 1.5y = –1.5x² – 5.5x + 2.5

17.   Which value completes the square for the expression?

x² – 12x (1 point)

–66

36–36

18.   Use the quadratic formula to solve the equation.

–x2 + 7x = 8 (1 point)

i think -

19.   Simplify the expression.

 (1 point)

Different qustion

20.   Use graphing to find the solutions to the system of equations.

 (1 point) CCCCC

(1,3)(–5, –3)

(1, 3)(–5, –3)

(–5, 3)(1, –3)

(5, 3)(–1, –3)

21.   Consider the leading term of the polynomial function. What is the end behavior of the graph?–2x7 + 8x6 + 5x5 + 4

 (1 point)Different The leading term is –2x7. Since n is odd, and a is

negative, the end behavior is up and down.The leading term is –2x7. Since n is odd, and a is negative, the end behavior is up and up.The leading term is –2x7. Since n is odd, and a is negative, the end behavior is down and down.The leading term is –2x7. Since n is odd, and a is negative, the end behavior is down and up.

22.   What are the real or imaginary solutions of each polynomial equation?27x3 + 343 = 0 (1 point)

 

Different

no solution

23.   Find the real solutions of the equation by graphing.

–8x3 + 7x = 17x2  (1 point) IDK

0, –2.48, 0.35

–2.48

–2.48, 0.35

0, 2.48, –0.35

24.   Find the rational roots of x4 + 8x3 + 7x2 – 40x – 60 = 0  (1 point)2, 6–6, –2–2, 6–6, 2 idk

25.   Find all the zeroes of the equation.

27x2 – 324 = –x4

  IDK

 (1 point)–3, –6i3, 6i3, –3, 6i, –6i3, –3, 6i, 0

26.   Use the Binomial Theorem to expand the binomial.

 (1 point)s5 + 45s4 + 270s3v2 + 810s2v3 + 1215sv4 + 729v5

IDK s5 + 15s4 + 90s3v2 + 270s2v3 + 405sv4 + 243v5

s5 + 15s4 + 90s3 + 270s2 + 405s + 243s5 – 5s4v + 10s3v2 – 10s2v3 + 5sv4 – v5

27.   Determine which polynomial is not a factor of 4x4 – 21x3 – 46x2 + 219x + 180.  (1 point)

x + 4x + 3x – 54x + 3

Different

28.   Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 700 kW in a 5 m/s wind, how much power does it generate in a 14 m/s wind?  (1 point)

76,832 kW5,488 kW

IDK 15,366 kW30,733 kW

29.   What is a simpler form of the radical expression?

 

 (1 point)

IDK

30.   How can you write the expression with rationalized denominator?

 (1 point)

IDK

31.   What is the simplest form of the number?

4 –1.5  (1 point)

–6–2.5

Different

32.   Let f(x) = x² + 6 and     (1 point)

IDK

33.   Graph the function.

 (1 point)

THIS ONE

34.   An initial population of 295 quail increases at an annual rate of 7%. Write an exponential function to model the quail population. What will the approximate population be after 2 years?  (1 point)

= (295 • 0.07)x; 426= 295(7)x; 14,445

IDK = 295(0.07)x; 338= 295(1.07)x; 338

35.   The half-life of a certain radioactive material is 37 days. An initial amount of the material has a mass of 477 kg. Write an exponential function that models the decay of this material. Find how much radioactive material remains after 6 days. Round your answer to the nearest thousandth.  (1 point)

This one

36.   Evaluate the logarithm.

 (1 point)3

4–46