AnswersAPSB 2025 Math Essentials-ALPSolving Systems of Linear Inequalities

Solving Systems of Linear Inequalities Answers

13 verified answers
1
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Which ordered pairs make both inequalities true? Check all that apply.

A
(–2, 2)
B
(0, 0)
C
(1,1)
D
(1, 3)
E
(2, 2)
2
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Graphically, a point is a solution to a system of two inequalities if and only if the point

A
lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
B
lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
C
lies in the shaded regions of both the top and bottom inequalities.
D
does not lie in the shaded region of the top or bottom inequalities.
3

Which linear inequality will not have a shared solution set with the graphed linear inequality?

A
y < x – 2
Option A
B
y < x + 1
Option B
C
y > x + 2
Option C
D
y > x + 2
Option D
4

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5

Which system of inequalities with a solution point is represented by the graph?

A
y > 2x – 2 and y < x – 1; (3, 1)
Option A
B
y > 2x – 2 and y < x + 1; (–3, 1)
Option B
C
y > 2x + 2 and y < x – 1; (3, 1)
Option C
D
y > 2x + 2 and y < x + 1; (–3, 1)
Option D
6

Which equation represents an inequality in the system of inequalities shown in the graph? Which point is a solution to the system?

Answers:
Selection 1:y < 2x + 2
Selection 2:(–1, –2)
7

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17

Mr. Hernandez plotted the point (1, 1) on Han’s graph of y ≤ x + 2. He instructed Han to add a second inequality to the graph that would include the solution (1, 1).Which equation could Miguel write?

Question illustration
A
y > 2x + 1
B
y < 2x – 1
C
y ≥ 2x + 1
D
y ≤ 2x – 1
18

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19

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