Unit Test — Unit test Answers

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A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $5 and an amount based on the weight in pounds of the box, $2.25 per pound. Which equation represents the shipping cost as a function of x, the weight in pounds?

A
f(x) = 2.25x + 5
B
f(x) = 5x + 2.25
C
f(x) = 2.25x − 5
D
f(x) = 5x − 2.25
2
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The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height.

Question illustration
A
−3
B
Option
Option B
C
Option
Option C
D
3
3

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Question illustration
A
–3x + 2 = y
B
–x + 2 = y
Option B
C
x – 3 = y
Option C
D
2x – 3 = y
4

Alejandra correctly wrote the equation y – 3 = (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?

Question illustration
A
y – 6 = 2(x – 10)
B
y – 2 = (x – 10)
Option B
C
y – 3 = (x – 2)
Option C
D
y – 3 = 2(x – 10)
5

Which of these values could be the slope of the line? Select two options.

A
–2
B
Option
Option B
C
0
D
Option
Option D
E
3
6

A coordinate plane from negative 8 to 8 along the x-axis and from negative 7 to 7 along the y-axis.

Question illustration
A
1. Plot the point (2, 4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
B
1. Plot the point (2, 4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
C
1. Plot the point (–2,4).2. From that point, count left 3 units and down 1 unit and plot a second point. 3. Draw a line through the two points.
D
1. Plot the point (–2,4).2. From that point, count left 1 unit and down 3 units and plot a second point. 3. Draw a line through the two points.
7

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

A
negative StartFraction 4 Over 3 EndFraction
Option A
B
negative StartFraction 3 Over 4 EndFraction
Option B
C
StartFraction 3 Over 4 EndFraction
Option C
D
StartFraction 4 Over 3 EndFraction
Option D
8

Which equation represents a line that passes through (2, –) and has a slope of 3?

Question illustration
A
y – 2 = 3(x + )
Option A
B
y – 3 = 2(x + )
Option B
C
y + = 3(x – 2)
Option C
D
y + = 2(x – 3)
Option D
9

What is the slope of the line represented by the equation f(t)=2t−6?

A
The slope is 2 and the y-intercept is −6.
B
The slope is −6 and the y-intercept is 2.
C
The slope is 2 and the y-intercept is 6.
D
The slope is 6 and the y-intercept is 2.
10

What is the y-intercept of the function f(x)=4 – 5x?

A
–5
B
–4
C
4
D
5
11

The table represents a linear function.

Question illustration
A
–3
B
–2
C
3
D
4
12

Which is the graph of the equation ?

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

What is the y-intercept of the function f(x) = –x + ?

Question illustration
A
–
Option A
B
–
Option B
C
StartFraction 1 Over 3 EndFraction.
Option C
D
StartFraction 2 Over 9 EndFraction.
Option D
14

Which graph matches the equation y+3=2(x+3)?

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

The graph of a linear function is shown.

Question illustration
A
positive
B
negative
C
zero
D
undefined
16

Which graph has a slope of ?

Question illustration
A
Option
B
Option
C
Option
D
Option
17

The table shows the height of water in a pool as it is being filled.

Question illustration
A
The height of the water increases 2 inches per minute.
B
The height of the water decreases 2 inches per minute.
C
The height of the water was 2 inches before any water was added.
D
The height of the water will be 2 inches when the pool is filled.
18

Which relationship has a zero slope?

A
Option
B
Option
C
Option
D
Option
19

What is the slope of the line represented by the equation y = –x + ?

Question illustration
A
–
Option A
B
–
Option B
C
StartFraction one-fourth EndFraction.
Option C
D
StartFraction one-half EndFraction.
Option D
20

The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) using a point and the slope. Which point did Harold use?

A
(7, 3)
B
(0, 7)
C
(7, 0)
D
(3, 7)

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