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

Unit Test — Cumulative exam Answers

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1
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A function is defined by . What is f(10)?

Question illustration
A
11
B
14
C
31
D
311
2
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Which answer explains whether the table of values represents a function?xy–4–5–22031–7–6–9

A
Yes, the values represent a function because each x-value is paired with only one y-value.
B
Yes, the values represent a function because each y-value is paired with only one x-value.
C
No, the values do not represent a function because the x-values are not in ascending order.
D
No, the values do not represent a function because there is no single rule that relates each pair of values.
3

Jodi is considering taking online classes at two websites, LearnCenter and EduWorld. Each site requires that students pay a base membership fee, plus they charge a rate per class. The two graphs show the cost for taking online classes through the two websites.Which statement best describes the functions that model the costs to take classes at each site?

Question illustration
A
LearnCenter charges a higher membership fee and a higher rate per class.
B
LearnCenter charges a higher membership fee but a lower rate per class.
C
LearnCenter charges a lower membership fee but a higher rate per class.
D
LearnCenter charges a lower membership fee and a lower rate per class.
4

To solve the equation, Antwan uses the distributive property, combines like terms, then uses the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible values of the constant after Antwan has completed these steps?

Question illustration
A
–3 or 3
B
–3 or 5
C
–20 or 5
D
–20 or 20
5

Which should be the first step in solving the equation ?

Question illustration
A
Add 3.8 to both sides of the equation.
B
Subtract 1.2 from both sides of the equation.
C
Multiply both sides of the equation by 1.2.
D
Divide both sides of the equation by 3.8.
6

Li believes that the graph shows a direct variation.Why is Li incorrect in saying that the graph shows a direct variation?

Question illustration
A
The graph does not have a constant rate of change.
B
When the x-value is 0, the y-value is 1.
C
The slope is negative.
D
The relationship is proportional.
7

Angelique makes beaded jewelry. The graph below shows the number of beads used for varying cord lengths.JewelryAngelique has a cord that is 32 inches long. Based on the information above, which is the best estimate for the number of beads she can use?

Question illustration
A
12
B
68
C
82
D
132
8

Two linear equations are represented by using the tables below.The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.What is the solution to the system of equations?

Question illustration
A
(–6, –4)
B
(–5, –4)
C
(–3, –2)
D
(0, 1)
9

Which is a reasonable first step that can be used to solve the equation ?

Question illustration
A
Distribute the 3 to x + 2, and distribute the 5 to (2x – 3).
B
Combine 4x and x on the left side of the equation.
C
Apply the subtraction property of equality to move the 2 from the left to the right side of the equation.
D
Apply the addition property of equality to move the 3 from the right to the left side of the equation.
10

What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers?

A
the oval method
B
the divide-center method
C
the area method
D
the regression calculator method
11

Use the information in the table to answer the question. Eitan and Asher are playing a game using two six-sided number cubes. To win the game, Eitan has to roll a sum of 11 or more. Which outcome would allow Asher to have a higher probability of winning the game? Select three options.

Question illustration
A
rolling a sum of 4
B
rolling a sum of 9
C
rolling a sum that is less than 5
D
rolling a sum that is greater than 5 but less than 7
E
rolling a sum that is greater than 9 but less than 11
12

How does the graph below change between point A and point B?

Question illustration
A
The graph increases.
B
The graph decreases.
C
The graph decreases, then increases.
D
The graph increases, then decreases.
13

Which describes dependent events?

A
drawing a blue marble and then a yellow marble without replacement from a bag of marbles.
B
drawing the ace of spades from a deck of cards, putting it back into the deck, and drawing the king of spades.
C
rolling a six-sided number cube and getting an even number, then rolling the same six-sided number cube and getting an even number again
D
flipping two coins at the same time and getting heads on one and tails on the other
14

The distance a baseball travels when a player hits the ball varies directly with the speed with which the player swings the bat. The graph below shows the distances a baseball travels (in feet) and the speed of the swing (in miles per hour). Based on the graph, which relationship exists between the speed of the swing and the distance the ball travels?

Question illustration
A
The distance is 0.1 times the swing speed.
B
The distance is 0.2 times the swing speed.
C
The distance is 5 times the swing speed.
D
The distance is 10 times the swing speed.
15

Dimitri determined that the ordered pair (2, –2) is a solution to the system of linear equations 7x + 9y = –4 and 5x – 2y = 6 as shown.What was Dimitri’s mistake?

Question illustration
A
He mixed up the coordinates of the ordered pair when substituting it into the equations 7x + 9y = –4 and 5x – 2y = 6.
B
He checked the equation 7x + 9y = –4 first when he should have checked first.
Option B
C
He made a mistake in his calculations when substituting the ordered pair into the equation 7x + 9y = –4 and simplifying.
D
He made a mistake in his calculations when substituting the ordered pair into the equation 5x – 2y = 6 and simplifying.
16

A function is defined by . What is f(2.5)?

Question illustration
A
2.5
B
13.5
C
15.0
D
16.5
17

The number of pounds of dog food that a pet store has is represented by the equation , where x represents the number of days that the store is open and y represents the pounds of dog food in stock in the store. How many pounds of dog food will the pet store have after 21 days?

Question illustration
A
92
B
115
C
315
D
336
18

For each babysitting job, Tamar charges $6 for bus fare plus $8 per hour. She only accepts babysitting jobs if the total charge is at least $30. What is the minimum number of hours for a babysitting job she would accept?

A
hours
Option A
B
3 hours
C
4 hours
D
hours
Option D
19

What is the value of x in the equation ?

Question illustration
A
1
B
2
C
3
D
5
20

Katrina is solving the equation . Which equivalent equations might Katrina use? Check all that apply.

Question illustration
A
x minus 2 x minus 6 = 8 x + 12 minus x minus 4
Option A
B
x minus 2 x + 6 = 8 x + 12 minus x + 4
Option B
C
x minus 2 x minus 6 = 8 x + 12 minus x + 4
Option C
D
x minus 2 x + 3 = 8 x + 3 minus x + 4
Option D
E
Negative x minus 6 = 7 x + 8
Option E
F
Negative x + 6 = 7 x + 16
Option F
G
Negative x minus 6 = 7 x + 16
Option G
H
Negative x + 3 = 7 x + 7
Option H

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