Grade 7 Equations Worksheets
Master equations step by step, from basic concepts to advanced problem solving
Common Core: 7.EE — Expressions & EquationsWatch & Learn
Learning Path
Start with Lesson 1 and work your way through!
1
Two-Step Equations
EasySolve two-step equations
Undo two operationsUse inverse operations
2
With Distributive Property
EasyEquations with distribution first
Distribute firstThen solve
3
Multi-Step Equations
MediumSolve complex equations
Variables on both sidesCombine like terms first
4
Inequalities
EasySolve inequalities and find their integer solutions
Solve like equationsFlip when multiplying by negative
5
Unit Review
EasyReview all equation types
Review all conceptsPrepare for assessment
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.
Example 1
Solve: 6x + 12 = 42
- Subtract 12 from both sides: 6x = 42 − 12 = 30.
- Divide both sides by 6: x = 30 ÷ 6 = 5.
- Check: 6 × 5 + 12 = 42 ✓ So x = 5.
Answer: 5
Example 2
Solve: 7(x + 4) = 98
- Distribute the 7: 7 × x + 7 × 4 = 7x + 28, so 7x + 28 = 98.
- Subtract 28 from both sides: 7x = 98 − 28 = 70.
- Divide both sides by 7: x = 70 ÷ 7 = 10.
- Check: 7 × (10 + 4) = 98 ✓ So x = 10.
Answer: 10
Example 3
Solve: 7(x − 3) = −35
- Distribute the 7: 7 × x + 7 × (−3) = 7x − 21, so 7x − 21 = −35.
- Add 21 to both sides: 7x = −35 + 21 = −14.
- Divide both sides by 7: x = −14 ÷ 7 = −2.
- 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.