Answers2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRUnit Test

Unit Test — Unit test Answers

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3

Lydia writes the equation below with a missing value.She puts a value in the box and says that the equation represents a direct variation. Which explains whether the equation could represent a direct variation?

Question illustration
A
If she puts 0 in the box she would have a direct variation.
B
If she puts 5 in the box she would have a direct variation.
C
The equation is not of the form , so it cannot represent a direct variation.
Option C
D
The equation has a minus sign, so it cannot represent a direct variation.
4

Four plumbers each charge a flat fee plus an hourly rate for repair visits. The table shows their total costs for repairs that required various amounts of time.Total Cost of RepairsHours needed for repairCost for plumberACost for plumberBCost for plumberCCost for plumberD1$35$55$50$502$65$75$75$603$95$95$100$70Which plumber charges the greatest hourly rate?

A
plumber A
B
plumber B
C
plumber C
D
plumber D
5

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 y-intercept represent?

Question illustration
A
the cost for each hour it takes to repair the machine
B
the service fee 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
6

Which equation represents a line that has a slope of and passes through point (–2, 1)?

Question illustration
A
y = one-third x minus 1
Option A
B
y = one-third x + five-thirds
Option B
C
y = one-third x minus five-thirds
Option C
D
y = one-third x + 1
Option D
7

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
8

Gina is comparing four long distance phone plans. The table shows the cost of each plan.Cost of Phone PlansPlanMonthly FeeCost per MinuteA$15$0.05B$5$0.15C$10$0.10D$20$0.20If Gina plans to use 500 minutes each month, the most cost effective plan is

A
Plan A
B
Plan B
C
Plan C
D
Plan D
9

In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, xCost, y28.50515.25822.001231.00What is the y-intercept of this function?

A
2.25
B
4.00
C
6.50
D
17.13
10

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached, the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?

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

The table represents the cost of flowers at the Tigerlily Flower Shop.Cost of FlowersQuantityPrice1$2.002$3.503$5.004$6.505$8.006$9.00Which graph is the best interpretation of this table?

A
On a coordinate plane, the x-axis is labeled Quantity and the y-axis is labeled price. Points are at (1, 2), (2, 3.5), (3, 5), (4, 6.5), (5, 8), (6, 9).
Option A
B
On a coordinate plane, the x-axis is labeled Quantity and the y-axis is labeled price. Points are at (1, 2), (2, 4), (3, 6), (4, 8), (5, 10), (6, 12).
Option B
C
On a coordinate plane, the x-axis is labeled Quantity and the y-axis is labeled price. A line with positive slope goes through points (2, 4) and (4, 8).
Option C
D
On a coordinate plane, the x-axis is labeled Quantity and the y-axis is labeled price. A curved line with positive slope is on the graph.
Option D
12

Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs and .Step 2: Find the slope. Step 3: Find the y-intercept to write the equation in slope intercept form. Which explains the error that Lila made?

Question illustration
A
Lila made in error in Step 1 by reversing the ordered pairs.
B
Lila made an error in Step 2 by not using the slope formula.
C
Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
D
Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.
13

The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)?xy–510–45–30–2–5

A
–5
B
Negative StartFraction 1 Over 5 EndFraction
Option B
C
One-fifth
Option C
D
5
14

Emelina wrote the equation of a line in point-slope form as shown below.What is Emelina’s equation in slope-intercept form?

Question illustration
A
y = 3x + 2
B
y = 3x +10
C
y = 3x – 4
D
y = 3x – 10
15

Is the function represented by the table linear?xy10–61111261312

A
Yes, because it has a constant rate of change.
B
Yes, because it does not have a constant rate of change.
C
No, because it has a constant rate of change.
D
No, because it does not have a constant rate of change.
16

Which explains whether or not the values in the table represent a direct variation?x461020y11.52.55

A
The table represents a direct variation because the values are proportional.
B
The table represents a direct variation because the values are nonproportional.
C
The table does not represent a direct variation because the values are proportional.
D
The table does not represent a direct variation because the values are nonproportional.
17

Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.Which statement is supported by the graphs?

Question illustration
A
Jillian’s car holds more gasoline and gets better gas mileage.
B
Nikki’s car holds more gasoline and gets better gas mileage.
C
Jillian’s car holds more gasoline, but Nikki’s car gets better gas mileage.
D
Nikki’s car holds more gasoline, but Jillian’s car gets better gas mileage.
18

Linear function A and linear function B both have the same input values as shown below. Why will the output values for linear function A always be different than the corresponding output values for linear function B?

Question illustration
A
The initial values of the two functions are different, and the rates of change of the two functions are also different.
B
The initial values of the two functions are different, and the rates of change of the two functions are the same.
C
The initial values of the two functions are the same, and the rates of change of the two functions are different.
D
The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
19

Which is the equation of a line that has a slope of 4 and passes through point (1, 6)?

A
y = 4x – 2
B
y = 4x + 6
C
y = 4x + 2
D
y = 4x – 3
20

The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?Amount in Juanita’s Savings AccountNumber of Months Working at Part-Time Job02468Amount in Savings Account (in dollars)$36$60$84$108$132

A
$12 per month
B
$18 per month
C
$24 per month
D
$36 per month

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