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Graphing and Shading Solutions

A Grade 8 math worksheet focusing on graphing linear inequalities and shading their solution sets on a coordinate plane.

Grade 8 Math AlgebraInequalitiesGraphing and Shading Solutions
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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.B.5CCSS.MATH.CONTENT.8.F.A.3
7 sections · Free to use · Printable
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Graphing and Shading Solutions

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Read each question carefully and follow the instructions to graph and shade the solutions to the inequalities.

1. Graph the inequality y > 2x - 1 on the coordinate plane below. Remember to use a dashed line and shade the correct region.

-10-8-6-4-2246810-10-8-6-4-2246810

2. Graph the inequality y ≤ -x + 3 on the coordinate plane below. Remember to use a solid line and shade the correct region.

-10-8-6-4-2246810-10-8-6-4-2246810

3. Which of the following inequalities represents the shaded region shown in the graph below?

-5-4-3-2-112345-5-4-3-2-112345
a

y < x + 2

b

y > x + 2

c

y ≤ x + 2

d

y ≥ x + 2

4. If a graph has a solid line and is shaded below the line, the inequality symbol used is  .

5. If a graph has a dashed line and is shaded above the line, the inequality symbol used is  .

6. The inequality y < 3x + 2 would be graphed with a solid line.

T

True

F

False