AnswersAPSB 2025 Math Essentials-ALPGraphing Two-Variable Linear Inequalities

Graphing Two-Variable Linear Inequalities — Unit test Answers

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Mark and Nora both work at the same pet store. The inequality relates x, the number of hours Mark works each week, and y, the number of hours that Nora works. Which ordered pair must be included in the solution set of the inequality when interpreted in the context of the problem?

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A
(–7, 20)
B
(0, 0)
C
(8, 2)
D
(13, –28)
22
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Which ordered pairs are in the solution set of the system of linear inequalities?y > xy < x + 1

Question illustration
A
(5, –2), (3, 1), (–4, 2)
B
(5, –2), (3, –1), (4, –3)
C
(5, –2), (3, 1), (4, 2)
D
(5, –2), (–3, 1), (4, 2)
23

Which system of linear inequalities has the point (3, –2) in its solution set?

A
y less-than negative 3. y less-than-or-equal-to two-thirds x minus 4
Option A
B
y greater-than negative 3. y greater-than-or-equal-to two-thirds x minus 4
Option B
C
y less-than negative 3. y greater-than-or-equal-to two-thirds x minus 4
Option C
D
y greater-than negative 2. y less-than-or-equal-to two-thirds x minus 4
Option D
24

Which graph shows the solution to the system of linear inequalities?y ≥ 2x + 1y ≤ 2x – 2

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
25

Which ordered pair makes both inequalities true? y x

Question illustration
A
(–3, 5)
B
(–2, 2)
C
(–1, –3)
D
(0, –1)

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