Cumulative Exam — Cumulative exam Answers

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21
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What is the solution of ?

Question illustration
A
x = –2500
B
x = –50
C
x = –2.5
D
no solution
22
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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
23

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
24

Which graph shows the solution to the equation below?

Question illustration
A
On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4.
Option A
B
On a coordinate plane, 2 identical curves are shown. One curve starts at y = negative 3, and the other curve starts at y = 1.
Option B
C
On a coordinate plane, a curve and a line are shown.
Option C
D
On a coordinate plane, a curve and a cubic function are shown.
Option D
25

What is the simplified form of the following expression?

Question illustration
A
StartFraction RootIndex 3 StartRoot 4 x EndRoot Over 5 EndFraction
Option A
B
StartFraction RootIndex 3 StartRoot 20 x EndRoot Over 5 EndFraction
Option B
C
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 5 EndFraction
Option C
D
StartFraction RootIndex 3 StartRoot 100 x EndRoot Over 125 EndFraction
Option D
26

Kyle has a total of 16 coins in his pocket. All the coins are nickels or quarters, and they have a total value of $2.20. How many nickels does Kyle have?

A
7 nickels
B
8 nickels
C
9 nickels
D
11 nickels
27

The function that represents the average cost per person, including transportation, to a museum is . Which statement is true about the graph of the function?

Question illustration
A
The horizontal asymptote y = 0 means the cost approaches zero as the number of people increases.
B
The horizontal asymptote y = 8 means the average cost approaches $8 as the number of people increases.
C
The vertical asymptote x = 0 means the cost approaches zero as the number of people increases.
D
The vertical asymptote x = 8 means the cost approaches zero as the number of people increases.
28

Which graph represents the solution to the system of inequalities?

Question illustration
A
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (negative 1, 1) and radius 2. Everything inside of the ellipse and circle is shaded.
Option A
B
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (negative 1, 1) and radius 2. Everything inside of the ellipse and outside of the circle is shaded.
Option B
C
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (1, negative 2) and radius 2. Everything inside of the ellipse and circle is shaded.
Option C
D
On a coordinate plane, an ellipse has center (0, 0) and goes through (0, 4), (2, 0), (0, negative 4), and (negative 2, 0). A circle has center (1, negative 2) and radius 2. Everything inside of the ellipse and outside of the circle is shaded.
Option D
29

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
30

Which expression is equivalent to ?

Question illustration
A
RootIndex 4 StartRoot 2 cubed EndRoot
Option A
B
StartRoot 2 Superscript 5 EndRoot
Option B
C
RootIndex 4 StartRoot 4 cubed EndRoot
Option C
D
StartRoot 4 Superscript 5 EndRoot
Option D
31

Julia is offered a job selling advertising for two different companies. Company A offers a base salary of $30,000 per year plus a year-end bonus equal to 3% of her total sales. Company B offers a base salary of $25,000 per year plus a year-end bonus equal to 5% of her total sales. Which statement best describes the two offers?

A
Company A pays better when total sales are less than $37,500, but company B pays better when total sales exceed $37,500.
B
Company A pays better when total sales are less than $250,000, but company B pays better when total sales exceed $250,000.
C
Company B pays better when total sales are less than $37,500, but company A pays better when total sales exceed $37,500.
D
Company B pays better when total sales are less than $250,000, but company A pays better when total sales exceed $250,000.
32

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?

Question illustration
A
8 baskets of peaches
B
11 baskets of peaches
C
12 baskets of peaches
D
15 baskets of peaches
33

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
34

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
35

What are the potential solutions of

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
36

Which of the following is the inverse of ?

Question illustration
A
y = log Subscript one-twelfth Baseline x
Option A
B
y = log Subscript 12 Baseline StartFraction 1 Over x EndFraction
Option B
C
y = log Subscript x Baseline 12
Option C
D
y = log Subscript 12 Baseline x
Option D
37

Which expression is equivalent to ?

Question illustration
A
StartFraction 2 (a + 1) squared Over a cubed EndFraction
Option A
B
6a
C
2a
D
StartFraction 6 a squared Over a + 1 EndFraction
Option D
38

The graph of a logarithmic function is shown below.What is the domain of the function?

Question illustration
A
x < 0
B
x > 0
C
x < 1
D
all real numbers
39

How does the graph of g(x) = 3x – 2 compare to the graph of f(x) = 3x?

A
The graph of g(x) is a translation of f(x) 2 units left.
B
The graph of g(x) is a translation of f(x) 2 units right.
C
The graph of g(x) is a translation of f(x) 2 units up.
D
The graph of g(x) is a translation of f(x) 2 units down.
40

Which graph represents ?

Question illustration
A
On a coordinate plane, a parabola with a vertex at (0, 0) opens up.
Option A
B
On a coordinate plane, a curve that begins at (0, 0) opens down and to the right in quadrant 1.
Option B
C
On a coordinate plane, a cubic function is vertical and goes through (0, 0).
Option C
D
On a coordinate plane, a cubic function is horizontal and goes through (0, 0).
Option D

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