AnswersAG Q3 Math 8 25-26 JTurnerUnit Test

Unit Test — Unit test Answers

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1
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The graph shows the number of public service announcements that a radio station played throughout the day.Public Service Announcements (PSAs) AiredWhich equation can be used to represent the number of public service announcements, y, in x hours?

Question illustration
A
y = StartFraction x Over 4 EndFraction
Option A
B
y = 4
Option B
C
y = 4 x
Option C
D
y = x + 4
Option D
2
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Brian, Kelsey, and Geoff each have a remote-controlled car. They simultaneously started their cars and drove them in a straight line away from a motion sensor. The sensor recorded the distance to each car in the table below.Distance from Sensor to Each CarTime since starting carsDistance to Brian’s carDistance to Kelsey’s carDistance to Geoff’s car1 sec34 cm27 cm27 cm3 sec38 cm31 cm33 cm5 sec42 cm35 cm39 cm8 sec48 cm41 cm48 cmWhich statement is best supported by the table?

A
Brian’s and Kelsey’s cars traveled at the same rate.
B
Kelsey’s and Geoff’s cars traveled at the same rate.
C
Brian’s and Geoff’s cars started the same distance from the sensor.
D
Kelsey’s and Geoff’s cars started the same distance from the sensor.
3

Brooke found the equation of the line passing through the points (–7, 25) and (–4, 13) in slope-intercept form as follows. What was Brooke’s error?

Question illustration
A
She found the incorrect slope in step 1.
B
She mixed up the x- and y-coordinates when she plugged in the point in step 2.
C
She found the incorrect y-intercept in step 2.
D
She mixed up the slope and y-intercept when she wrote the equation in step 3.
4

Amelia and Carmen read every night. Amelia reads the same number of pages each night. So does Carmen. The table shows the number of pages that each girl has left to read after 2, 4, 5, and 7 nights of reading their books.Pages Left to ReadNightsAmeliaCarmen222522441751605150128710064Whose book has the greater number of pages?

A
Amelia’s book has 1 more page.
B
Amelia’s book has 36 more pages.
C
Carmen’s book has 7 more pages.
D
Carmen’s book has 13 more pages.
5

Catherine saved some money and plans to add the same amount each week to her savings account. The table represents the number of weeks that she will save, x, and the total amount of money that she will have in her account, y. Weeks, xDollars in account, y 474686910411116 Which linear equation represents Catherine’s situation?

A
y = one-sixth x + 70
Option A
B
y = 6 x + 50
Option B
C
y = StartFraction 1 Over 9 EndFraction x + 104
Option C
D
y = 11 x + 116
Option D
6

Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3).Step 1: Step 2: Step 3: Step 4: Which best describes Terri’s first error?

Question illustration
A
In step 1, the slope of the line should be .
Option A
B
In step 2, she should have substituted the point (4, 6).
C
In step 3, she should have subtracted 4 from both sides of the equation.
D
In step 4, the m and b values should be switched.
7

The point-slope form of a line that has a slope of –2 and passes through point (5, –2) is shown below.What is the equation in slope-intercept form?

Question illustration
A
y = negative 2 x + 12
Option A
B
y = negative 2 x + 8
Option B
C
y = negative 2 x minus 7
Option C
D
y = negative 2 x minus 3
Option D
8

What is the equation in slope-intercept form of the linear function represented by the table?xy–6–18–1–842912

A
y = negative 2 x minus 6
Option A
B
y = negative 2 x + 6
Option B
C
y = 2 x minus 6
Option C
D
y = 2 x + 6
Option D
9

The equation is written in point-slope form. What is the equation in slope-intercept form?

Question illustration
A
y = negative 2 x minus StartFraction 1 Over 6 EndFraction
Option A
B
y = negative 2 x + StartFraction 7 Over 6 EndFraction
Option B
C
y = negative 2 x + StartFraction 5 Over 12 EndFraction
Option C
D
y = negative 2 x minus StartFraction 11 Over 12 EndFraction
Option D
10

What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?

A
y = negative 50 x
Option A
B
y = negative 50
Option B
C
y = 50 x
Option C
D
y = 50
Option D
11

What is the equation of the line passing through the points and in slope-intercept form?

Question illustration
A
y = one-half x minus three-fourths
Option A
B
y = one-half x + three-fourths
Option B
C
y = three-fourths x minus one-half
Option C
D
y = three-fourths x + one-half
Option D
12

What is the equation of the line passing through the points (2, –1) and (5, –10) in slope-intercept form?

A
y = negative 3 x minus 5
Option A
B
y = negative 3 x + 5
Option B
C
y = 3 x minus 5
Option C
D
y = 3 x + 5
Option D
13

Which equation represents a linear function that has a slope of and a y-intercept of –6?

Question illustration
A
y = negative 6 x + four-fifths
Option A
B
y = four-fifths x minus 6
Option B
C
y = four-fifths x + 6
Option C
D
y = 6 x + four-fifths
Option D
14

Miguel volunteers at his local food pantry and takes note of how much money is donated each day during a 10-day fundraising phone-a-thon. Below is the graph that represents the data that he collected. The slope of the line that represents the data that Miguel collected is 25, and the y-intercept is 50. What do the slope and y-intercept represent in Miguel’s situation?

Question illustration
A
The slope indicates that the food pantry collects $50 each day. The y-intercept indicates that the pantry began with $50 in its donation account.
B
The slope indicates that the food pantry collects $25 each day. The y-intercept indicates that the pantry began with $25 in its donation account.
C
The slope indicates that the food pantry collects $25 each day. The y-intercept indicates that the pantry began with $50 in its donation account.
D
The slope indicates that the food pantry collects $50 each day. The y-intercept indicates that the pantry began with $25 in its donation account.
15

What is the equation of the line that passes through the points (15, 9) and (-2, 9)?

A
mc023-1.jpg
Option A
B
mc023-2.jpg
Option B
C
mc023-3.jpg
Option C
D
mc023-4.jpg
Option D
16

What are the slope and the y-intercept of the linear function that is represented by the equation ?

Question illustration
A
The slope is –2, and the y-intercept is 9.
B
The slope is 2, and they y-intercept is 9.
C
The slope is 9, and the y-intercept is –2.
D
The slope is 9, and the y-intercept is 2.
17

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.What does the y-intercept represent?

Question illustration
A
Tammy initially had $10 pay.
B
Tammy will type for 10 minutes each day.
C
Tammy initially had $4 pay.
D
Tammy will type for 4 minutes each day.
18

The cost of a service call to fix a washing machine can be expressed by the linear function , where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the slope represent?

Question illustration
A
the cost for each hour it takes to repair the machine
B
the cost for coming to look at the machine
C
the total cost for fixing the washing machine
D
the amount of time that it takes to arrive at the home to make the repairs
19

Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary.

A
y = 71 x minus 29.82
Option A
B
y = 25 x minus 66
Option B
C
y = 0.42 x + 71
Option C
D
y = 0.42 x + 55
Option D
20

Which table represents a linear function that has a slope of 5 and a y-intercept of 20?

A
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, 20, 40, 60.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 4, 8. Column 2 is labeled y with entries 0, negative 20, negative 40, negative 60.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 20, 40, 60. Column 2 is labeled y with entries negative 4, 0, 4, 8.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 60, negative 40, negative 20, 0. Column 2 is labeled y with entries 8, 4, 0, negative 4.
Option D

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