Free Printable WorksheetMathGrade 7Math Curriculum7.78

7.78 Two step equations with rational numbers Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.78 Two step equations with rational numbers. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.78 Two-step equations with rational numbers - In multiple-choice items, students select the correct solution to a two-step equation and choose the correct inverse-operation sequence. (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 7.78 Two step equations with rational numbers skill assessments:

Problem 1Difficulty: Mastery

In a quick check, a scientist computes an average after a rebate. This one is tricky—select the correct x and the correct inverse-operation sequence. Equation: x ÷ 15⁄7 − -19⁄6 = 122⁄75

Ax = -539⁄750; Add 19⁄6; then Multiply by 15⁄7

Bx = 719⁄70; Multiply by 15⁄7; then Subtract 19⁄6

Cx = -3.3; Multiply by 15⁄7; then Subtract 19⁄6

Dx = -3.3; Subtract 19⁄6; then Multiply by 15⁄7

Solution & Explanation:Start with x ÷ 15⁄7 − -19⁄6 = 122⁄75. Subtract 19⁄6 to undo the addition/subtraction. Then multiply by 15⁄7 to undo the multiplication/division and isolate x. So x = -3.3.

Problem 2Difficulty: Mastery

In a quick check, a bookstore clerk logs a savings plan after a rest stop. This one is tricky—select the correct x and the correct inverse-operation sequence. Equation: x ÷ 15⁄7 − -31⁄12 = 89⁄90

Ax = 643⁄84; Multiply by 15⁄7; then Subtract 31⁄12

Bx = -2009⁄2700; Add 31⁄12; then Multiply by 15⁄7

Cx = -41⁄12; Subtract 31⁄12; then Multiply by 15⁄7

Dx = -41⁄12; Multiply by 15⁄7; then Subtract 31⁄12

Solution & Explanation:Start with x ÷ 15⁄7 − -31⁄12 = 89⁄90. Subtract 31⁄12 to undo the addition/subtraction. Then multiply by 15⁄7 to undo the multiplication/division and isolate x. So x = -41⁄12.

Problem 3Difficulty: Mastery

In a quick check, a chef checks a fuel gauge after a discount. This one is tricky—select the correct x and the correct inverse-operation sequence. Equation: 17⁄6x − 2.7 = -662⁄135

Ax = -2053⁄765; Multiply by 6⁄17; then Add 2.7

Bx = -7⁄9; Add 2.7; then Multiply by 6⁄17

Cx = -2023⁄324; Subtract 2.7; then Multiply by 6⁄17

Dx = -7⁄9; Multiply by 6⁄17; then Add 2.7

Solution & Explanation:Start with 17⁄6x − 2.7 = -662⁄135. Add 2.7 to undo the addition/subtraction. Then multiply by 6⁄17 to undo the multiplication/division and isolate x. So x = -7⁄9.

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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 7.78 (Practice and review Grade 7 math skill 7.78: Two-Step Equations with Rational Numbers.).