Cumulative Exam — Cumulative exam Answers

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Review the table showing the percentage of contaminants remaining in a water sample after passing through each round of filters.Round% of Contaminants Left in Water Sample01001152230.3

A
6.3% of the contaminants remain in the water sample after each round of filters.
B
14.9% of the contaminants remain in the water sample after each round of filters.
C
6.3% of the remaining contaminants are removed from the water sample after each round of filters.
D
14.9% of the remaining contaminants are removed from the water sample after each round of filters.
23

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
24

As the weight of purchased items increases, the shipping charges increase, as shown in the table below.Weight, in ozTotal Shipping Costnot more than 5$9.50more than 5, not more than 10$13.25more than 10, not more than 15$17.00more than 15, not more than 20$20.75Assuming only positive domain values, which statement is true of the graph that represents the total cost, y, in dollars for shipping items that weigh x ounces?

A
The graph is discontinuous at x = 5, x = 10, and x = 15.
B
The range values for the set of the data are 10, 14, 17, and 21.
C
For every 1-ounce increase in weight, the total shipping cost increases by $3.75.
D
The left side of each horizontal interval is a closed circle, and the right side is an open circle.
25

What is the product?

Question illustration
A
mc022-2.jpg
Option A
B
mc022-3.jpg
Option B
C
mc022-4.jpg
Option C
D
mc022-5.jpg
Option D
26

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.
29

Which expression is equivalent to –8?

A
–2–3
B
(Negative one-half) Superscript negative 3
Option B
C
(one-half) Superscript negative 3
Option C
D
2–3
30

Which graph represents the following piecewise defined function?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
31

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
32

What is the product of ?

Question illustration
A
StartFraction 7 Over m Superscript 5 EndFraction
Option A
B
7m6
C
StartFraction 10 Over m Superscript 5 EndFraction
Option C
D
10m6
33

What is the difference?

Question illustration
A
StartFraction x squared + 4 x minus 1 Over x (x + 2) EndFraction
Option A
B
StartFraction x squared + 4 x + 1 Over x (x + 2) EndFraction
Option B
C
StartFraction 4 Over negative 1 (x squared + x minus 2) EndFraction
Option C
D
StartFraction x squared + 6 x + 1 Over x (x + 2) EndFraction
Option D
34

What is the true solution to

Question illustration
A
x = 5
Option A
B
x = 10
Option B
C
x = 50
Option C
D
x = 100
Option D
35

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.
36

What is the value of A in the matrix equation below?

Question illustration
A
mc023-2.jpg
Option A
B
mc023-3.jpg
Option B
C
mc023-4.jpg
Option C
D
mc023-5.jpg
Option D
37

What is the solution to the equation ?

Question illustration
A
x = –3
B
x = –3 and x = 0
C
x = 0 and x = 3
D
x = 3
38

Which graph represents ?

Question illustration
A
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 1.
Option A
B
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 5.
Option B
C
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 7.
Option C
D
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 5.
Option D

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