AnswersAISD Algebraic Reasoning B Credit Recovery 2026-2027Unit Test

Graphing Two-Variable Linear Inequalities Answers

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On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 4) and (2, 0). Everything to the right of the line is shaded.

Question illustration
A
(−1, 1)
B
(1, −1)
C
(3, 2)
D
(2, 3)
2
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On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). Everything below and to the right of the line is shaded.

Question illustration
A
y ≤ 2x + 4
B
y ≤ x + 3
Option B
C
y ≥ x + 3
Option C
D
y ≥ 2x + 3
3

Which points are solutions to the linear inequality y < 0.5x + 2? Select three options.

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

Which is the graph of the linear inequality y ≥ −x − 3?

A
On a coordinate plane, a solid straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the right of the line is shaded.
Option A
B
On a coordinate plane, a solid straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded.
Option B
C
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the right of the line is shaded.
Option C
D
On a coordinate plane, a dashed straight line has a negative slope and goes through (negative 3, 0) and (0, negative 3). Everything to the left of the line is shaded.
Option D
5

Which is the graph of the linear inequality y < 3x + 1?

A
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
Option A
B
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
Option B
C
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
Option C
D
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
Option D
6

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 3, negative 5) and (0, negative 4). Everything to the right of the line is shaded.

Question illustration
A
y ≥ x – 4
Option A
B
y ≤ x – 4
Option B
C
y ≤ x + 4
Option C
D
y ≥ x + 4
Option D
7

Which statements are true about the linear inequality y > x – 2? Select three options.

Question illustration
A
The slope of the line is –2.
B
The graph of y > x – 2 is a dashed line.
Option B
C
The area below the line is shaded.
D
One solution to the inequality is (0, 0).
E
The graph intercepts the y-axis at (0, –2).
8

Which is the graph of the linear inequality x – 2y > –6?

Question illustration
A
Option
B
Option
C
Option
D
Option
9

Which is the graph of linear inequality 2y > x – 2?

A
Option
B
Option
C
Option
D
Option
10

On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.

Question illustration
A
y < 3x + 2
B
y > 3x + 2
C
y < x + 2
Option C
D
y > x + 2
Option D

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