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

8.64 Solving Equations with Variables on Both Sides Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.64 Solving Equations with Variables on Both Sides. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.64 Solving Equations with Variables on Both Sides - Which value correctly solves the equation with variables on both sides? (CCSS 8.EE.C.7b; CA 8.EE.C.7b; MA 8.EE.C.7b)

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 8.64 Solving Equations with Variables on Both Sides skill assessments:

Problem 1Difficulty: Hard
5 times a number minus 9 equals 2 times the same number plus 12. What is the number?
Solution & Explanation:Let x be the number. The statement translates to 5x - 9 = 2x + 12. Then group the variable terms on one side and the numbers on the other side. This gives 3x - 9 = 12. Next, 3x = 21. Divide by 3, so x = 7.
Problem 2Difficulty: Hard
6 times a number plus 7 equals 2 times the same number minus 13. What is the number?
Solution & Explanation:Let x be the number. The statement translates to 6x + 7 = 2x - 13. Then move the variable terms to one side and the constants to the other side. This gives 4x + 7 = -13. Next, 4x = -20. Divide by 4, so x = -5.
Problem 3Difficulty: Hard
8 times a number minus 4 equals 3 times the same number plus 56. What is the number?
Solution & Explanation:Let x be the number. The statement translates to 8x - 4 = 3x + 56. Then collect variable terms first, then move the constants. This gives 5x - 4 = 56. Next, 5x = 60. Divide by 5, so x = 12.

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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.7b (Primary standard selected for prompt fields: CCSS 8.EE.C.7b. Skill statement: Which value correctly solves the equation with variables on both sides? Associated standards listed with this skill: CCSS 8.EE.C.7b; CA 8.EE.C.7b; MA 8.EE.C.7b. Use this embedded wording as the best available supporting standard description for this workflow.).

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