AnswersAG Q3 Math 8 25-26 JTurnerUnit Test

Using Graphs to Solve Systems Answers

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1
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Which graph represents this system?

Question illustration
A
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
Option A
B
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0).
Option B
C
On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6).
Option C
D
On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7).
Option D
2
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The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the system.Kaden’s GraphWhat is the solution to the system of equations?

Question illustration
A
no solution
B
infinitely many solutions
C
(4, –3)
D
(1.5, –1.75)
3

Which graph represents this system?

Question illustration
A
On a coordinate plane, a line goes through (0, 7) and (1, 3) and another goes through (1, 3) and (2, 5).
Option A
B
On a coordinate plane, a line goes through (negative 4, 0) and (0, 7) and another line goes through (negative 4, 3) and (0, 1).
Option B
C
On a coordinate plane, a line goes through (0, negative 4) and (1, 3) and another goes through (0, 2) and (1, 3).
Option C
D
On a coordinate plane, a line goes through (0, 7) and (8, 5) and another line goes through (0, 1) and (8, 5).
Option D
4

Which equations are equivalent to when written in slope-intercept form? Check all that apply.

Question illustration
A
3 x minus 2 y = 4
Option A
B
2 x minus 3 y = 12
Option B
C
Negative 4 (2 x minus 3 y) = negative 4 (12)
Option C
D
2 (x + 6) = 3 y
Option D
E
2 x minus 3 y = 4
Option E
5

Which graph represents this system?

Question illustration
A
On a coordinate plane, 2 lines go through points (negative 5, negative 1) and (0, 1).
Option A
B
On a coordinate plane, a line goes through (0, 1) and (5, 3) and another goes through (0, negative 5) and (5, negative 3).
Option B
C
On a coordinate plane, a line goes through (0, 1) and (5, 3) and another goes through (0, 1) and (5, negative 1).
Option C
D
On a coordinate plane, a line goes through (0, 1) and (negative 5, negative 1) and another goes through (negative 5, negative 3) and (0, negative 5).
Option D
6

The graph shows the system of equations below. Which statement is supported by the graph?

Question illustration
A
The blue line represents the equation , and the solution to the system of equations is (–6, –2).
Option A
B
The blue line represents the equation , and the solution to the system of equations is ( –2, –6).
Option B
C
The red line represents the equation , and the solution to the system of equations is (2, –4).
Option C
D
The red line represents the equation , and the solution to the system of equations is (–4, 2).
Option D
7

Binh solved this system of equations by graphing.Binh’s GraphWhich statements identify the errors Binh made? Check all that apply.

Question illustration
A
Binh incorrectly graphed the equation .
Option A
B
Binh should have graphed the y-intercept of at .
Option B
C
Binh should have graphed the y-intercept of at .
Option C
D
Binh incorrectly graphed the equation .
Option D
E
Binh should have found the point of intersection to be .
Option E
8

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

Question illustration
A
(2, 4)
B
(4, 2)
C
(0, 6)
D
(6, 0)
9

Antoinette needs to solve this system of equations by graphing. Which statements explain how she should graph the equations? Check all that apply.

Question illustration
A
She should rewrite both equations in slope-intercept form.
B
She should rewrite the first equation in slope-intercept form.
C
She should find that the second equation has a slope of 4.
D
When rewriting the first equation, she should subtract 2x from each side of the equation to get –7y by itself.
E
After rewriting the first equation in slope-intercept form, she should find that both lines have negative slopes.
10

Consider this system of equations. Which shows the first equation written in slope-intercept form?

Question illustration
A
y = 7 x minus 10
Option A
B
y = StartFraction 7 Over 2 EndFraction x minus 5
Option B
C
y = 7 x minus 5
Option C
D
y = StartFraction 7 Over 4 EndFraction x minus 5
Option D

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