AnswersDRHS-GA-Algebra Concepts and Connections AGraphing Two-Variable Linear Inequalities

Using Graphs to Solve Systems Answers

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Dominique needs to solve the system of equations by graphing. Which statement is true about the system?

Question illustration
A
Both equations are in slope-intercept form.
B
Neither equation is in slope-intercept form.
C
The first equation is when written in slope-intercept form.
Option C
D
The second equation is when written in slope-intercept form.
Option D
2
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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
3

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
4

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.
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

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)
7

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
8

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
9

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
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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