Free Printable WorksheetMathGrade 7Math Curriculum7.EE.B.4b

7.83 One step inequalities and number line graphs Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.83 One step inequalities and number line graphs. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.83 One-step inequalities and number-line graphs - In multiple-choice items, students choose the correct solution to a one-step inequality and select the correct number-line graph of the solution set. (CCSS 7.EE.B.4b; FL MA.7.AR.2.1; TX 7.10(B); VA 7.PFA.4)

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 7

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 7.83 One step inequalities and number line graphs skill assessments:

Problem 1Difficulty: Mastery
An aquarium-level inequality is a/(-0.25) >= 36. Which option gives the correct solution set and graph?
Aa >= -9; closed circle at -9, shaded right
Ba <= -144; closed circle at -144, shaded left
Ca <= -9; closed circle at -9, shaded left
Da < -9; open circle at -9, shaded left
Solution & Explanation:To solve a/(-0.25) >= 36, multiply both sides by -0.25. Reverse the inequality sign because you multiply by a negative number. The solution is a <= -9, so the graph uses a closed circle at -9, shaded left.
Problem 2Difficulty: Mastery
A wind-speed model gives -8v >= -6. Which solution and graph match?
Av < 3/4; open circle at 3/4, shaded left
Bv >= 3/4; closed circle at 3/4, shaded right
Cv <= 48; closed circle at 48, shaded left
Dv <= 3/4; closed circle at 3/4, shaded left
Solution & Explanation:To solve -8v >= -6, divide both sides by -8. Reverse the inequality sign because you divide by a negative number. The solution is v <= 3/4, so the graph uses a closed circle at 3/4, shaded left.
Problem 3Difficulty: Mastery
A coordinate constraint uses y + 5/6 < -7/3. Which option shows the correct endpoint and shading?
Ay < -19/6; open circle at -19/6, shaded left
By <= -19/6; closed circle at -19/6, shaded left
Cy > -19/6; open circle at -19/6, shaded right
Dy < -3/2; open circle at -3/2, shaded left
Solution & Explanation:To solve y + 5/6 < -7/3, subtract 5/6 from both sides. The inequality sign stays the same. The solution is y < -19/6, so the graph uses an open circle at -19/6, shaded left.

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Frequently Asked Questions

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QHow do I download and print this 7.83 One step inequalities and number line graphs worksheet?

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QIs this 7.83 One step inequalities and number line graphs worksheet free for teachers and homeschoolers?

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QCan students practice 7.83 One step inequalities and number line graphs online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.83 One step inequalities and number line graphs interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.EE.B.4b (Primary standard selected for prompt fields in this prompt cell: CCSS 7.EE.B.4b. Skill statement in this prompt cell: In multiple-choice items, students choose the correct solution to a one-step inequality and select the correct number-line graph of the solution set. Associated standards listed with this skill in this prompt cell: CCSS 7.EE.B.4b; FL MA.7.AR.2.1; TX 7.10(B); VA 7.PFA.4. Use this prompt-provided wording as the supporting standard description for this workflow.).

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