AnswersFL-1200330-Algebra 2 CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5?

A
5 units up
B
5 units down
C
5 units right
D
5 units left
22
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The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower.

Question illustration
A
The broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower.
B
The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.
C
The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli.
D
The cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.
23

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

A
The graph moves up 18 units.
B
The graph moves down 18 units.
C
The graph moves left 18 units.
D
The graph moves right 18 units.
24

The graphs of y = 3x and y = 3x are shown below. In general, how does the growth of y = 3x compare to the growth of y = 3x?

Question illustration
A
The function y = 3x is growing slower than y = 3x.
B
The function y = 3x is growing faster than y = 3x.
C
The functions y = 3x and y = 3x are growing at the same rate.
D
The function y = 3x is growing slower than y = 3x.
25

A toy rocket is launched straight up into the air with an initial velocity of 60 ft/s from a table 3 ft above the ground. If acceleration due to gravity is –16 ft/s2, approximately how many seconds after the launch will the toy rocket reach the ground?h(t) = at2 + vt + h0

A
0.05 s
B
2.03 s
C
3.80 s
D
3.70 s
26

If is the inverse of and , what is ?

Question illustration
A
g (x) = 12 x + 4
Option A
B
g (x) = one-fourth x minus 12
Option B
C
g (x) = x minus 3
Option C
D
g (x) = one-fourth x minus 3
Option D
27

What is the solution to the inequality ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
28

Which polynomial is factored completely?

A
121 x squared + 36 y squared
Option A
B
(4x + 4)(x + 1)
C
2 x (x squared minus 4)
Option C
D
3 x Superscript 4 Baseline minus 15 n cubed + 12 n squared
Option D
29

What is the value of 53i 9?

A
–125i
B
–15i
C
15i
D
125i
30

Sandra graphed the system of equations that can be used to solve . What are the roots of the polynomial equation?

Question illustration
A
–12, 12
B
–4, 3
C
–3, 4
D
–1, 1
31

Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?

A
x = –2, x = –8
B
x = –2, x = –6
C
x = –2, x = 6
D
x = –2, x = 8
32

How is the graph of transformed to produce the graph of ?

Question illustration
A
It is stretched horizontally by a factor of 2 and translated up 3 units.
B
It is compressed horizontally by a factor of 2 and translated up 3 units.
C
It is stretched vertically by a factor of 2 and translated up 3 units.
D
It is compressed vertically by a factor of 2 and translated up 3 units.
33

Which two functions are inverses of each other?

A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
34

The quotient of (x4 – 3x2 + 4x – 3) and (x2 + x – 3) is a polynomial. What is the quotient?

A
x4 – 2x2 + 5x – 6
B
x2 – x + 1
C
x6 + x5 – 6x4 + x3 + 10x2 – 15x + 9
D
x4 – 4x2 + 3x
35

Which expression is equivalent to 2x2 – 2x + 7?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
36

What is the completely factored form of 8x2 – 50?

A
2(x + 5)(x – 5)
B
2(2x – 5)(2x – 5)
C
2(2x + 5)(2x + 5)
D
2(2x + 5)(2x – 5)
37

The quadratic model f(x) = –5x2 + 200 represents the approximate height, in meters, of a ball x seconds after being dropped. The ball is 50 meters from the ground after about how many seconds?

A
2.45
B
3.16
C
5.48
D
7.07
38

What is the remainder when (x3 + 1) is divided by (x2 – x + 1)?

A
x + 1
B
x
C
2
D
0
39

Phan fills the tank of her car with gasoline before starting her road trip. The table below shows the amount of gas left in her tank as she drives.Number of Hours vs. Amount Left in TankNumber of Hours Spent Driving (h)3579Amount of Gas Left in Tank, in gallons (g)12840Which equation models the amount of gas left in the car as Phan drives, and how many gallons of gasoline does it take to fill her tank?

A
g = 18 – 2h; 18 gallons
B
g = 18 – 2h; 16 gallons
C
g = 3h + 3; 30 gallons
D
g = 3h + 3; 12 gallons
40

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = (x3 – 3x + 1)2

A
2 roots
B
3 roots
C
6 roots
D
9 roots

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