Answers7th Grade Math CR Summer SchoolSolving Two-Step Inequalities

Writing and Solving Systems Answers

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Juliet needs to rewrite in slope-intercept form so she can easily graph it. Which step would be correct to start the process?

Question illustration
A
She could combine the x and 2 to get .
Option A
B
She could divide both sides by 3 to get .
Option B
C
She could distribute the 3 to get .
Option C
D
She could subtract the 6y to get .
Option D
2
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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
3

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

Question illustration
A
y = 5 x + StartFraction 3 Over 10 EndFraction
Option A
B
y = 5 x + 3
Option B
C
y = one-fifth x + StartFraction 3 Over 25 EndFraction
Option C
D
y = one-half x + 6
Option D
4

Which equation is written in slope-intercept form?

A
y = 3 x minus 2
Option A
B
x = one-half y + 8
Option B
C
2 x + 5 y = 12
Option C
D
3 y = 8 x minus 5
Option D
5

What is the solution to this system of equations? What is the solution to the system of equations?

Question illustration
A
(–6, –2)
B
(–2, 6)
C
(6, 2)
D
(–2, –6)
6

Which graph represents this system?

Question illustration
A
On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2).
Option A
B
On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1).
Option B
C
On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0).
Option C
D
On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).
Option D
7

Jessie graphed one of the lines in a system of equations: . If the system has an infinite number of solutions, which statements are true? Check all that apply.

Question illustration
A
Any point in the coordinate plane is a solution because it has an infinite number of solutions.
B
Point (1, 1) is a solution because it is one of the points on the line already graphed.
C
It is impossible to tell if (–1,–5) is a solution without seeing the other line graphed.
D
Point (20, 58) is a solution because it results in a true statement when the point values are substituted into the equation of the line.
E
When the other line in the system is graphed, it will share all points with the line already graphed.
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

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
10

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)

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