Free Printable WorksheetMathGrade 8Math Curriculum8.EE.C.7

8.62 Solving Multi Step Linear Equations with Like Terms Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.62 Solving Multi Step Linear Equations with Like Terms. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.62 Solving Multi-Step Linear Equations with Like Terms - Which solution is correct after simplifying and solving the multi-step linear equation? (CCSS 8.EE.C.7; CA 8.EE.C.7; MA 8.EE.C.7)

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 8.62 Solving Multi Step Linear Equations with Like Terms skill assessments:

Problem 1Difficulty: Hard
What is the solution of 14 + 1 - 2a + a - 5a = 44 - 5?
A-4
B-13/2
C4
D-9
Solution & Explanation:Combine like terms and simplify both sides to get -6a + 15 = 39. Subtract 15 from both sides to get -6a = 24. Then divide by -6. So a = -4.
Problem 2Difficulty: Hard
A swim practice model is 7a + 2 + 3a + 2 = 59, where a is the number of laps in one set. Solve for a.
Solution & Explanation:Combine like terms and simplify both sides to get 10a + 4 = 59. Subtract 4 from both sides to get 10a = 55. Then divide by 10. So a = 11/2.
Problem 3Difficulty: Hard
After combining like terms, solve 1 - 4c - 2 + 4c - 2 + 10c = -98.
Solution & Explanation:Combine like terms and simplify both sides to get 10c - 3 = -98. Add 3 to both sides to get 10c = -95. Then divide by 10. So c = -19/2.

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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 8.EE.C.7 (Primary standard selected for prompt fields: CCSS 8.EE.C.7. Skill statement: Which solution is correct after simplifying and solving the multi-step linear equation? Associated standards listed with this skill: CCSS 8.EE.C.7; CA 8.EE.C.7; MA 8.EE.C.7. Use this embedded wording as the best available supporting standard description for this workflow.).

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