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

Using Graphs to Determine the Number of Solutions Answers

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1
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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.
2
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Which ordered pair is a solution to the system of linear equations and ?

Question illustration
A
(–4, –3)
B
(–4, 3)
C
(–3, –4)
D
(–3, 4)
3

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

Question illustration
A
(–3, 2) is a solution to the system of linear equations.
B
(–2, 3) is a solution to the system of linear equations.
C
(2, –3) is a solution to the system of linear equations.
D
(3, –2) is a solution to the system of linear equations.
4

Which ordered pair is the solution to the system of linear equations and ?

Question illustration
A
(–4, 6)
B
(6, –4)
C
(–4, –6)
D
(–6, –4)
5

Which ordered pair is a solution to the system of linear equations and ?

Question illustration
A
(one-fifth, negative two-thirds)
Option A
B
(one-fifth, two-thirds)
Option B
C
(two-thirds, negative one-fifth)
Option C
D
(two-thirds, one-fifth)
Option D
6

What is the solution to the system of equations graphed below?

Question illustration
A
(2, negative 3)
Option A
B
(Negative 3, 2)
Option B
C
(Negative 2, 3)
Option C
D
(3, negative 2)
Option D
7

The system of linear equations and is graphed below.What is the solution to the system of equations?

Question illustration
A
(–3, 2)
B
(–2, 3)
C
(2, –3)
D
(3, 2)
8

Consider the system of linear equations 2x + 3y = 8 and 3x + y = –2. Which statement is correct?

A
The point (1, 2) is not a solution to the system of equations because it satisfies neither equation.
B
The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
C
The point (1, 2) is a solution to the system of equations because it satisfies the equation 2x + 3y = 8.
D
The point (1, 2) is a solution to the system of equations because it satisfies both equations.
9

Which ordered pair is the solution to the system of linear equations and ?

Question illustration
A
(negative 5, 1)
Option A
B
(1, negative 5)
Option B
C
(5, negative 1)
Option C
D
(Negative 1, 5)
Option D
10

The solution to a system of linear equations is . Which system of linear equations has this point as its solution?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D

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