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

7.84 Two step inequalities Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.84 Two step inequalities. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.84 Two-step inequalities - In multiple-choice items, students select the correct solution set for a two-step inequality and choose the matching number-line graph. (CCSS 7.EE.B.4b; TX 7.11(A); 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 7.84 Two step inequalities skill assessments:

Problem 1Difficulty: Mastery
Solve (-3/4)(w + 2) < 6, then choose the correct number-line graph description.
Aw < -10; open circle at -10, shaded left
Bw > -10; open circle at -10, shaded right
Cw >= -10; closed circle at -10, shaded right
Dw > -12; open circle at -12, shaded right
Solution & Explanation:Divide by -3/4 and reverse the inequality sign: w + 2 > -8. Subtract 2 from both sides: w > -10. The graph has an open circle at -10, shaded right.
Problem 2Difficulty: Mastery
A number-line graph should match the solution to -5(v - 1) >= 22. Which choice is correct?
Av <= -17/5; closed circle at -17/5, shaded left
Bv >= -17/5; closed circle at -17/5, shaded right
Cv < -17/5; open circle at -17/5, shaded left
Dv <= -7/5; closed circle at -7/5, shaded left
Solution & Explanation:Divide by -5 and reverse the inequality sign: v - 1 <= -22/5. Add 1 to both sides: v <= -17/5. The graph has a closed circle at -17/5, shaded left.
Problem 3Difficulty: Mastery
Which solution set and number-line graph match the inequality -6 >= (2/3)s + 4?
As >= -15; closed circle at -15, shaded right
Bs < -15; open circle at -15, shaded left
Cs <= -16; closed circle at -16, shaded left
Ds <= -15; closed circle at -15, shaded left
Solution & Explanation:Rewrite it with the variable expression on the left: (2/3)s + 4 <= -6. Subtract 4 from both sides: (2/3)s <= -10. Divide by 2/3: s <= -15. The graph has a closed circle at -15, shaded left.

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Frequently Asked Questions

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QIs this 7.84 Two step inequalities worksheet free for teachers and homeschoolers?

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QCan students practice 7.84 Two step inequalities online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 7.84 Two step inequalities 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 select the correct solution set for a two-step inequality and choose the matching number-line graph. Associated standards listed with this skill in this prompt cell: CCSS 7.EE.B.4b; TX 7.11(A); VA 7.PFA.4. Use this prompt-provided wording as the supporting standard description for this workflow.).

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