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

Writing and Solving Systems Answers

5 verified answers
1
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The graph for the equation is shown below. If another equation is graphed so that the system has one solution, which equation could that be?

Question illustration
A
y = 2 x minus 4
Option A
B
y = 2 (x + 2)
Option B
C
y = 2 (x minus 4)
Option C
D
y = x + 4
Option D
2
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The graph for the equation is shown below. If another equation is graphed so that the system has no solution, which equation could that be?

Question illustration
A
y = negative 2 (x minus one-half)
Option A
B
y = negative one-half (4 x + 2)
Option B
C
y = negative x + 1
Option C
D
y = negative one-half x + 2
Option D
3

If the four lines are extended, which system would have only one solution?

Question illustration
A
line a and line b
B
line b and line c
C
line b and line d
D
line c and line d
4

Miguel used the graph below to represent a system of equations. Which statement is the best conclusion for Miguel’s system?

Question illustration
A
Since the lines do not intersect, this system has no solution.
B
Since the lines will intersect at one point, this system has one solution.
C
Since the lines will intersect at two points, this system has two solutions.
D
Since the lines will intersect at many points, the system has many solutions.
5

Consider the equation . Which equation, when graphed with the given equation, will form a system with infinitely many solutions?

Question illustration
A
y + 2 x = 3
Option A
B
y + 2 x = 9
Option B
C
y = 2 x + 3
Option C
D
y = negative 2 x + 9
Option D
6

Coretta wants to create a system of equations so that the system has only one solution. Which of these can Coretta do? Check all that apply.

A
Create a pair of equivalent equations.
B
Create a pair of lines in which one line lies directly on top of the other.
C
Create a pair of equations with different slopes.
D
Create a pair of lines that will always stay the same distance apart.
E
Create a pair of lines that intersect at only one point.
7

The equations in the system below are parallel. How many solutions does the system have?

Question illustration
A
no solution
B
one unique solution
C
two solutions
D
an infinite number of solutions
8

The graph for the equation is shown below. If another equation is graphed so that the system has an infinite number of solutions, which equation could that be?

Question illustration
A
y = negative 2 (x minus 1)
Option A
B
y = negative (x + 2)
Option B
C
y = negative one-fourth (4 x minus 8)
Option C
D
y = negative one-half (x + 4)
Option D
9

Consider the graph with four lines below. By inspection, which system would have no solution?

Question illustration
A
line a and line b
B
line a and line c
C
line b and line c
D
line b and line d
10

The graph below represents a system of equations. By observation, what is the solution to this system?

Question illustration
A
(0, –3)
B
(–3, 0)
C
no solution
D
infinitely many solutions

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