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

Unit Test — Unit test Answers

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1
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Bryce took a quiz that consisted of true-or-false questions and multiple-choice questions. The true-or-false questions were worth 1 point each, and the multiple-choice questions were worth 2 points each. Bryce only knows that he answered 8 questions correctly and earned a total of 14 points. To determine the number of each type of question that he answered correctly, he wrote the system of linear equations and . Which ordered pair is a solution to this system of linear equations, and what does the ordered pair represent?

Question illustration
A
; Bryce answered 0 true-or-false questions correctly and 8 multiple-choice questions correctly.
Option A
B
; Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.
Option B
C
; Bryce answered 6 true-or-false questions correctly and 2 multiple-choice questions correctly.
Option C
D
; Bryce answered 8 true-or-false questions correctly and 0 multiple-choice questions correctly.
Option D
2
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A system of equations is shown on the graph below.How many solutions does this system have?

Question illustration
A
no solutions
B
one unique solution
C
two solutions
D
an infinite number of solutions
3

What is the solution to ?

Question illustration
A
x greater-than-or-equal-to negative 12
Option A
B
x greater-than-or-equal-to 12
Option B
C
x less-than-or-equal-to 12
Option C
D
x less-than-or-equal-to negative 12
Option D
4

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
5

According to the properties of inequality, when should the inequality symbol be reversed when solving a two-step inequality in the form below?

Question illustration
A
when a is positive
B
when a is negative
C
when b is positive
D
when b is negative
6

The graph below represents the linear equation . A second linear equation is represented by the data in the table. xy–11002–23–3What is the solution to the system of equations?

Question illustration
A
(–2, –4)
B
(1, –1)
C
(2, –2)
D
(4, –4)
7

The steps for multiplying the linear expressions –4z and 6z are shown.

Question illustration
A
associative property
B
commutative property
C
distributive property
D
simplify
8

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.
9

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.
10

Which statement is correct about the system of linear equations graphed below?

Question illustration
A
The system of equations has one solution because the lines will eventually intersect.
B
The system of equations has one solution because the lines will never intersect.
C
The system of equations does not have one solution because the lines will eventually intersect.
D
The system of equations does not have one solution because the lines will never intersect.
11

What is the value of x in the equation below? Round to the nearest hundredths place.

Question illustration
A
3.01
Option A
B
3.17
Option B
C
36.44
Option C
D
38.4
Option D
12

Ronin draws a square with a measure of inches on each side. The perimeter of his square is 96 inches. The equation below represents the perimeter of the square.What is the value of x?

Question illustration
A
16
B
22
C
24
D
26
13

The system of linear equations and is graphed below.How many solutions does the system of equations have?

Question illustration
A
0
B
1
C
3
D
4
14

Identify the method that will be used in solving for x.

Question illustration
A
distributive property
B
multiplication property of equality
C
division property of equality
D
subtraction property of equality
15

The graphic models one of the properties used to solve a one variable equation.Which property is being modeled?

Question illustration
A
addition property of equality
B
commutative property of multiplication
C
distributive property of multiplication
D
associative property of addition

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