Free Printable WorksheetMathGrade 7Math Curriculum7.79

7.79 Multi step equations with distribution and combining like terms Worksheet

Download our free printable Grade 7 Math worksheet on 7.79 Multi step equations with distribution and combining like terms. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.79 Multi step equations with distribution and combining like terms. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.79 Multi-step equations with distribution and combining like terms - In multiple-choice items, students select the correct solution to a multi-step equation and identify the correctly simplified intermediate step. (CCSS 7.EE.B.4a; FL MA.7.AR.2.2; 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 7.79 Multi step equations with distribution and combining like terms skill assessments:

Problem 1Difficulty: Mastery

A student starts with the equation: 7(5x - 13) + 9(-6x + 2) - x + 38 = 1(-9x - 14) + 2(-7x - 9) + x + 11 Which equation is correct after distributing and combining like terms (do not solve)?

A-20x - 35 = -23x - 21

B-20x - 31 = -22x - 21

C-21x - 35 = -22x - 21

D-20x - 35 = -22x - 21

Solution & Explanation:Distribute through parentheses and combine like terms. The equation simplifies to -20x - 35 = -22x - 21.

Problem 2Difficulty: Mastery

Solve for x: -9(-6x - 12) - 4(-8x - 3) + 5x - 8 = -6(-3x - 11) - 9(-6x - 14) - 11x - 50 Choose the value of x.

B-1

Solution & Explanation:Distribute and combine like terms to get 91x + 112 = 61x + 142. Subtract 61x from both sides and subtract 112 from both sides to get 30x = 30. Divide by 30 to get x = 1.

Problem 3Difficulty: Mastery

A student starts with the equation: 7(-3x - 5) + 1(-5x + 1) - 14x - 14 = -6(-4x + 3) - 8(2x + 13) + 10x + 248 Which equation is correct after distributing and combining like terms (do not solve)?

A-40x - 48 = 19x + 126

B-40x - 48 = 18x + 126

C-40x - 53 = 18x + 126

D-40x - 48 = 17x + 126

Solution & Explanation:Distribute through parentheses and combine like terms. The equation simplifies to -40x - 48 = 18x + 126.

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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 7 Math students. It aligns with educational standard 7.79 (Practice and review Grade 7 math skill 7.79: Multi-Step Equations with Distribution and Combining Like Terms.).