Free Printable WorksheetMathGrade 8Math Curriculum7.EE.B.4b

8.90 Graphing Inequality Solutions on a Number Line Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.90 Graphing Inequality Solutions on a Number Line. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.90 Graphing Inequality Solutions on a Number Line - Which number line correctly represents the solution set of the inequality? (CCSS 7.EE.B.4b; CA 7.EE.B.4b; MA 7.EE.B.4b)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 8

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 8.90 Graphing Inequality Solutions on a Number Line skill assessments:

Problem 1Difficulty: Hard
A distance relationship is described by this inequality. A student claims that solving -1.8g - 0.4 > 16.88 gives g > -9.6. Which number line actually shows the correct solution set?
AClosed circle at -9.6 and shade to the left.
BOpen circle at -8.6 and shade to the left.
COpen circle at -9.6 and shade to the right.
DOpen circle at -9.6 and shade to the left.
Solution & Explanation:Solve the inequality to get g < -9.6. Because a negative factor is involved, the inequality sign reverses when you divide by the negative value. Since -9.6 is not included, use an open circle at -9.6 and shade to the left.
Problem 2Difficulty: Hard
A science problem leads to this inequality. A student claims that solving 0.8c + 0.6 <= 1.8c - 9 gives c <= 9.6. Which number line actually shows the correct solution set?
AA closed point at 10.85 and the graph extends right.
BAn open point at 10.85 and the graph extends right.
CA closed point at 9.6 and the graph extends right.
DA closed point at 9.6 and the graph extends left.
Solution & Explanation:Solve the inequality to get c >= 9.6. Because a negative factor is involved, the inequality sign reverses when you divide by the negative value. Since 9.6 is included, use a closed circle at 9.6 and shade to the right.
Problem 3Difficulty: Hard
A classmate forgot a step while solving -1.4(h - 2) - 0.2 >= 14.92 and claimed the answer was h >= -8.8. Which graph is correct?
AA closed circle on -8.8 with shading to the left.
BAn open circle on -8.8 with shading to the right.
CA closed circle on -10.3 with shading to the right.
DAn open circle on -8.8 with shading to the left.
Solution & Explanation:Solve the inequality to get h <= -8.8. Because a negative factor is involved, the inequality sign reverses when you divide by the negative value. Since -8.8 is included, use a closed circle at -8.8 and shade to the left.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 8 Math students. It aligns with educational standard 7.EE.B.4b (Primary standard selected for prompt fields: CCSS 7.EE.B.4b. Skill statement: Which number line correctly represents the solution set of the inequality? Associated standards listed with this skill: CCSS 7.EE.B.4b; CA 7.EE.B.4b; MA 7.EE.B.4b. Use this embedded wording as the best available supporting standard description for this workflow.).

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