Answers2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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Rachel drew the two graphs below.Graph RGraph SRachel says that Graph R has a greater constant of variation than Graph S. Which statement explains whether Rachel is correct?

Question illustration
A
Rachel is correct; Graph S is nonproportional.
B
Rachel is correct; Graph R goes farther along the x-axis.
C
Rachel is not correct; both graphs go through the origin and have the same constant of variation.
D
Rachel is not correct; Graph S is steeper than Graph R.
2
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Which shows the correct method for solving the equation below?

Question illustration
A
A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 6, y = 18. Column 2 is labeled property used with entries distributive property, addition property of equality, multiplication property of equality.
Option A
B
A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 27 = 3, one-third y = 30, y = 10. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Option B
C
A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 1, one-third y = 4, y = 12. Column 2 is labeled property used with entries distributive property, addition property of equality, division property of equality.
Option C
D
A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 0, y = 0. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.
Option D
3

A company sells name plates for doors. An employee takes a random sample of name plates, measures the length of each name (in inches), and counts the number of letters in each name. She generates the scatterplot and trend line equation shown below. Name PlatesA customer would like the company to build him a name plate that is 22 inches long. What is the best estimate of the number of letters the company can have on the name plate?

Question illustration
A
9
B
10
C
12
D
39
4

Which equation represents a line that has a slope of and passes through point (4, –5)?

Question illustration
A
y = negative one-half x + three-halves
Option A
B
y = negative one-half x + StartFraction 13 Over 2 EndFraction
Option B
C
y = negative one-half x minus 7
Option C
D
y = negative one-half x minus 3
Option D
5

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

Question illustration
A
3 x minus 3 + 4 = 2 minus x minus 3
Option A
B
3 x minus 1 + 4 = 2 minus x + 3
Option B
C
3 x minus 3 + 4 = 2 minus x + 3
Option C
D
3 x + 1 = negative x minus 1
Option D
E
3 x + 3 = negative x + 5
Option E
F
3 x + 1 = negative x + 5
Option F
6

Johan used the table below to show the sample space for choosing an outfit for school.Which outfit is part of Johan’s sample space?

Question illustration
A
black pants, white shirt
B
gray pants, green shirt
C
blue pants, brown shirt
D
white pants, white shirt
7

Multiply –5x(7 – 2x).

A
–35x2 + 10
B
–35x + 10x2
C
–35x + 10
D
–35 + 10x2
8

Which answer choice is equivalent to the expression below?

Question illustration
A
Negative 17 minus 9 n
Option A
B
Negative 14 minus 12 n
Option B
C
11 + 5 n
Option C
D
14 + 2n
9

Bryson is picking green beans. He has already picked bushels and picks at a rate of of a bushel each hour. The equation can be used to represent h, the number of hours it will take him to pick 6 bushels. What is the value of h?

Question illustration
A
hours
Option A
B
hours
Option B
C
hours
Option C
D
hours
Option D
10

The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser. The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.Which best describes the number of bars the band can order?

Question illustration
A
They can order from 0 to 449 bars, but no more.
B
They can order from 0 to 450 bars, but no more.
C
Their order must contain 451 bars or more.
D
Their order must contain 452 bars or more.
11

The table below shows the participation in the town soccer league during its first five seasons.Town Recreational Soccer League ParticipationYearNumber of participants188295310041085115Which is the equation of the trend line that can be generated by using the data from years 1 and 5?

A
y = 6.75 x minus 688.25
Option A
B
y = 6.75 x minus 1.75
Option B
C
y = 6.75 x + 81.25
Option C
D
y = 6.75 x + 81.25
Option D
12

Latesha justifies whether the expression 4x – 3 is equivalent to by letting in both expressions. Which values should Latesha compare to justify whether the expressions are equivalent?

Question illustration
A
2 and 5
B
5 and 9
C
5 and 5
D
9 and 9
13

Which graph shows the solution set for ?

Question illustration
A
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.
Option A
B
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.
Option B
C
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
Option C
D
A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.
Option D
14

The list below shows all of the possible outcomes for flipping four coins.HHHHHHHTHHTHHHTTHTHHHTHTHTTHHTTTTHHHTHHTTHTHTHTTTTHHTTHTTTTHTTTTWhat is the probability of getting the same number of heads and tails?

A
StartFraction 1 over 8 EndFraction
Option A
B
One-fourth
Option B
C
StartFraction 3 over 8 EndFraction
Option C
D
Three-fourths
Option D
15

The table represents the function . Which value goes in the empty cell?

Question illustration
A
–1.5
B
–1
C
–0.5
D
0.5
16

Rajib wrote the equations and . What can Rajib conclude about the solution to this system of equations?

Question illustration
A
The point is a solution to this system of equations.
Option A
B
The point (14, 2) is a solution to this system of equations.
C
The point is a solution to this system of equations.
Option C
D
The point is a solution to this system of equations.
Option D
17

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

Question illustration
A
–4
B
–2
C
20
D
22
18

What is the slope, m, and the y-intercept of the line that is graphed below?

Question illustration
A
m = 1; (0, 3)
B
m = 1; (–3, 0)
C
m = –1; (0, 3)
D
m = –1; (–3, 0)
19

Solve the equation using the distributive property and properties of equality. What is the value of x?

Question illustration
A
26
B
30
C
38
D
42
20

A company offers four plans for customers who want to rent DVDs and video games. The costs of the plans can be modeled by a linear function that combines a one-time membership fee with a per disc rental rate. The table shows the total costs, including membership fees, for a person who rents 1, 2, and 5 discs in a month.Cost of RepairsDiscs rentedPlan APlan BPlan CPlan D1$14$12$10$122$17$16$15$215$26$28$30$48Which plan has the smallest one-time membership fee?

A
plan A
B
plan B
C
plan C
D
plan D

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