AnswersAPSB 2025 Math Essentials-ALPGraphing Two-Variable Linear Inequalities

Graphing Two-Variable Linear Inequalities Answers

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1
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Which is the graph of the system of equations y = 3x + 6 and y = 3x +1?

A
Option
Option A
B
Option
Option B
C
Option
Option C
2
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Verify the solution. Which true statement appears in your check?

A
–3 = –3
B
–1 = –1
C
3 = 3
D
9 = 9
3

How many solutions will there be?

A
no solution
B
one solution
C
infinitely many solutions
4

What will the graph of the system look like?

A
The lines will intersect at one point.
B
The lines are exactly the same.
C
The lines are parallel.
5

What is the point of intersection?

A
(2, 1)
B
(–1, 2)
C
(0, 6)
D
(–2, 2)
6

The blue line is the graph of y = –x + 3. Use the sliders to make the orange line represent y = –2x + 9. Examine the graph. What appears to be the solution of this system of equations?

A
(–4, –1)
B
(1, 2)
C
(6, –3)
D
(–1, 3)
7

The slope-intercept form of the first equation is .

A
y = 4x + 5
B
y = –4x + 5
C
y = 4x – 5
D
y = –4x – 5
8

What is x – 2y = 8 in slope-intercept form?

A
y = –2x + 10
B
y = –(1/2)x + 4
C
y = (1/2)x – 4
D
y = 2x – 16
9

The blue line is the graph of y = –4x + 5. Use the sliders to make the orange line represent y = –2x + 3. Examine the graph. What is the solution of the system of these two equations?

A
(0, 5)
B
(1, 1)
C
(2, 2)
D
(3, 0)
10

The slope-intercept form of the second equation is .

A
y = –2x – 3
B
y = 2x + 3
C
y = –2x + 3
D
y = 2x – 3
11

What is –2x + 4y = –16 in slope-intercept form?

A
y = –2x –20
B
y = –(1/2)x + 4
C
y = (1/2)x – 4
D
y = 2x – 12

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