Grade 7 Equations Worksheets

Master equations step by step, from basic concepts to advanced problem solving

Common Core: 7.EE

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Learning Path

Start with Lesson 1 and work your way through!

How to solve Grade 7 equations problems

Real problems from these worksheets, solved one step at a time — the same explanations your child sees when practicing online.

  1. Example 1

    Solve: 6x + 12 = 42

    1. Subtract 12 from both sides: 6x = 42 − 12 = 30.
    2. Divide both sides by 6: x = 30 ÷ 6 = 5.
    3. Check: 6 × 5 + 12 = 42 ✓ So x = 5.

    Answer: 5

  2. Example 2

    Solve: 7(x + 4) = 98

    1. Distribute the 7: 7 × x + 7 × 4 = 7x + 28, so 7x + 28 = 98.
    2. Subtract 28 from both sides: 7x = 98 − 28 = 70.
    3. Divide both sides by 7: x = 70 ÷ 7 = 10.
    4. Check: 7 × (10 + 4) = 98 ✓ So x = 10.

    Answer: 10

  3. Example 3

    Solve: 7(x − 3) = −35

    1. Distribute the 7: 7 × x + 7 × (−3) = 7x − 21, so 7x − 21 = −35.
    2. Add 21 to both sides: 7x = −35 + 21 = −14.
    3. Divide both sides by 7: x = −14 ÷ 7 = −2.
    4. Check: 7 × (−2 − 3) = −35 ✓ So x = −2.

    Answer: −2

Frequently Asked Questions

Are these Grade 7 Equations worksheets free?
All printable Equations worksheets on MyMathKid are free to download and print. Answer keys are a premium feature available with a subscription.
How many Equations worksheets are available for Grade 7?
There are 5 progressive Equations lessons with worksheets for Grade 7, covering skills from foundational concepts to advanced problem solving.
Are these Equations worksheets aligned to Common Core?
Yes — Grade 7 Equations aligns with Common Core 7.EE (Expressions & Equations).
What will my child practice with these Equations worksheets?
Your child will practice: Two-Step Equations, With Distributive Property, Multi-Step Equations, Inequalities, and more.