Unit Test — Unit test Answers

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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.
2
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Will’s meal of grilled chicken strips and carrots contained a total of 333 calories. The bag of grilled chicken strips contained x servings of 110 calories each. The bag of carrots contained y servings of 29 calories each. Which equation written in standard form represents the number of servings of chicken strips and carrots that Will may have eaten?

A
110y = –29x + 333
B
29x + 110y = 333
C
29y = –110x + 333
D
110x + 29y = 333
3

The table represents a linear function.

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

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
5

Katarina wrote the standard form of a linear equation as 4x – y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina?

Question illustration
A
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24.
B
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.
C
Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8.
D
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.
6

A karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. Cena paid $170 for her son to take courses. How many courses did he take?

A
6 courses
B
7 courses
C
8 courses
D
10 courses
7

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

A
–5
B
–4
C
4
D
5
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

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
10

The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n. A women’s size 7 fits a foot inches long, and a women’s size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?

A
It is linear because the graph decreases over time.
B
It is linear because there is both an independent and a dependent variable.
C
It is nonlinear because linear functions are increasing functions.
D
It is nonlinear because linear functions increase or decrease at the same rate.
12

The table shows the profit from a school book fair based on the number of books sold.

Question illustration
A
$0.50 per book
B
$0.67 per book
C
$1.07 per book
D
$1.50 per book
13

Which of the following is true regarding the sequence below?

Question illustration
A
The sequence is arithmetic because there is a common difference of .
Option A
B
The sequence is arithmetic because there is a common difference of 1.
C
The sequence is not arithmetic because there is no common difference between the values of n.
D
The sequence is not arithmetic because there is no common difference between the values of an.
14

Which of the following is an arithmetic sequence?

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

Which shows the graph of x – 4y =–4?

A
A coordinate plane with a line passing through (0, negative 4) and (1, 0).
Option A
B
A coordinate plane with a line passing through (negative 4, negative 2), (0, negative 1) and (4, 0).
Option B
C
A coordinate plane with a line passing through (negative 2, negative 4), (negative 1, 0) and (0, 4).
Option C
D
A coordinate plane with a line passing through (negative 4, 0) and (0, 1).
Option D
16

The graph shows the amount of money Miguel earns after working x hours.

Question illustration
A
hours per dollar
Option A
B
hours per dollar
Option B
C
3 dollars per hour
D
13 dollars per hour
17

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
18

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
19

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
20

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?

A
inch up per foot across
Option A
B
inch up per foot across
Option B
C
2 inches up per foot across
D
3 inches up per foot across

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