Free Printable WorksheetMathGrade 7Math Curriculum7.80

7.80 Checking solutions to equations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.80 Checking solutions to equations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.80 Checking solutions to equations - In multiple-choice items, students choose which value is a correct solution and select the step where an incorrect solution goes wrong. (CCSS 7.EE.B.4a; FL MA.7.AR.2.2; TX 7.11(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 7.80 Checking solutions to equations skill assessments:

Problem 1Difficulty: Mastery

During bake sale, a student reworks a problem about stickers. Priya tries to solve 2(x - 7) + 3(3x) = -113. Work shown: Step 1: 2(x - 7) + 3(3x) = -113; Step 2: 11x + 14 = -113; Step 3: 11x = -121; Step 4: x = -11. Which step is the first mistake?

AStep 1

BStep 2

CStep 3

DStep 4

Solution & Explanation:The first mistake is Step 2. Step 2 makes an incorrect algebra move (wrong inverse operation or incorrect distribution). Correct method: carefully distribute (including negatives), combine like terms, isolate the x-term, then divide. Solving 2(x - 7) + 3(3x) = -113 correctly gives x = -9. You can check by substituting -9 back into the original equation.

Problem 2Difficulty: Mastery

During chess tournament, a student verifies a solution about cups. Nora is checking which value of x makes the equation true: 5(2x + 2) - 2(3x + 8) = -86. Which value is a solution?

A-21

B-19

C-23

D-20

Solution & Explanation:Fully simplify 5(2x + 2) - 2(3x + 8) = -86 (distribute and combine like terms), then isolate x. The solution is x = -20. A quick substitution check confirms it.

Problem 3Difficulty: Mastery

During skate park, a student critiques a friend's steps about stickers. Ulises tries to solve 5(2x - 3) - 2(x + 6) = -3. Work shown: Step 1: 5(2x - 3) - 2(x + 6) = -3; Step 2: 8x - 3 = -3; Step 3: 8x = 0; Step 4: x = 0. Which step is the first mistake?

AStep 1

BStep 2

CStep 3

DStep 4

Solution & Explanation:The first mistake is Step 2. Step 2 makes an incorrect algebra move (wrong inverse operation or incorrect distribution). Correct method: carefully distribute (including negatives), combine like terms, isolate the x-term, then divide. Solving 5(2x - 3) - 2(x + 6) = -3 correctly gives x = 3. You can check by substituting 3 back into the original equation.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

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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 7.80 (Practice and review Grade 7 math skill 7.80: Checking Solutions to Equations.).