Cumulative Exam — Cumulative exam Answers

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If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?

A
5x3 + 9x2 + 15x + 27
B
25x2 + 90x + 84
C
x2 + 5x + 12
D
5x2 + 24
2
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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
3

What is the domain of the square root function graphed below?

Question illustration
A
x greater-than-or-equal-to negative 4
Option A
B
x greater-than negative 4
Option B
C
x greater-than-or-equal-to 0
Option C
D
x greater-than 0
Option D
4

Which expression is equivalent to –6x3 • x • y2 • y6?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
5

Subtract from .

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Which statement correctly explains how Dana can solve the following system of linear equations for x using the elimination method?

Question illustration
A
Add the two equations, solve for y, and then substitute –1 for y to find x.
B
Multiply the bottom equation by –4, solve for y, and then substitute –1 for y to find x.
C
Multiply the bottom equation by –1, subtract the two equations, solve for y, and then substitute 1 for y to find x.
D
Multiply the two equations, solve for y, and then substitute 1 for y to find x.
7

Which value must be added to the expression x2 – 3x to make it a perfect-square trinomial?

A
Three-halves
Option A
B
Nine-fourths
Option B
C
6
D
9
8

What is the third term in the binomial expansion of (3x + y3)4?

A
54x2y3
B
18x2y3
C
18x2y6
D
54x2y6
9

Which graph shows the solution to the system of inequalities below?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

Which table shows a linear function?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

When 122 is decreased by five times a number, the result is equal to the number increased by 20. What is the number?

A
17
B
23.7
C
25.5
D
35
12

Which expression is equivalent to ?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Solve for in the equation .

Question illustration
A
x = –16 or x = 2
B
x = negative 7 plus-or-minus 3 StartRoot 7 EndRoot
Option B
C
x = –2 or x = 16
D
x = 7 plus-or-minus 3 StartRoot 7 EndRoot
Option D
14

Day and Night Kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark Time Hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
15

What is the value of (–3 + 3i) + (–2 + 3i)?

A
–5 – 6i
B
–5 + 6i
C
5 + 6i
D
5 – 6i
16

What property is used in the second step of solving the inequality below?______Given_________________________Multiplication Property

Question illustration
A
Identity Property
B
Addition Property
C
Multiplication Property
D
Transitive Property
17

Which two functions are inverses of each other?

A
,
Option A
B
,
Option B
C
,
Option C
D
,
Option D
18

Which equation is the inverse of y = x2 + 16?

A
y = x2 – 16
B
y = plus-or-minus StartRoot x EndRoot minus 16
Option B
C
y = plus-or-minus StartRoot x minus 16 EndRoot
Option C
D
y = x2 – 4
19

For which interval is the average rate of change of f(x) negative?

Question illustration
A
from x = –3.5 to x = –1
B
from x = –3 to x = 3
C
from x = 0 to x = 2.5
D
from x = 3 to x = 4.5
20

What is the product?

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

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