MyMathKidK-8 Curriculum

Grade 7 Expressions Worksheets

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

Common Core: 7.EE

Watch & Learn

Learning Path

Start with Lesson 1 and work your way through!

1

Combining Like Terms

Easy

Combine like terms with negatives

Identify like termsCombine with negatives
2

Distributive Property

Easy

Distribute with negative coefficients

Distribute negativesSimplify after distributing
3

Factoring Expressions

Easy

Factor out GCF

Find GCFFactor completely
4

Equivalent Expressions

Easy

Rewrite expressions in equivalent forms

Rewrite by distributing and combining like termsRead what a rewrite means (1.05x is a 5% increase)
5

Unit Review

Easy

Review all expression skills

Review all conceptsPrepare for assessment

How to solve Grade 7 expressions problems

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

  1. Example 1

    Simplify: −n + 5n − 10 = ?n − 10

    1. Like terms have the same variable part. Here the n-terms are −n and 5n; the number term is −10.
    2. Combine the n-terms by adding their coefficients: −1 + 5 = 4, so they make 4n.
    3. So −n + 5n − 10 = 4n − 10.
    4. Match 4n − 10 to ?n − 10: the missing number is 4.

    Answer: 4

  2. Example 2

    Factor: 24k + 28 = 4(?k + 7)

    1. Find the greatest common factor (GCF) of 24 and 28: it is 4.
    2. Divide each term by 4: 24k ÷ 4 = 6k and 28 ÷ 4 = 7.
    3. So 24k + 28 = 4(6k + 7).
    4. Check by distributing: 4 × 6k = 24k and 4 × 7 = 28.
    5. Match 4(6k + 7) to 4(?k + 7): the missing number is 6.

    Answer: 6

  3. Example 3

    Simplify: 4(4m − 5) − 8m = ?m − 20

    1. Distribute 4: multiply each term inside the parentheses by 4. 4 × 4m = 16m and 4 × (−5) = −20. So 4(4m − 5) becomes 16m − 20.
    2. Now you have 16m − 20 − 8m.
    3. Like terms have the same variable part. Here the m-terms are 16m and −8m; the number term is −20.
    4. Combine the m-terms by adding their coefficients: 16 − 8 = 8, so they make 8m.
    5. So 4(4m − 5) − 8m = 8m − 20.
    6. Match 8m − 20 to ?m − 20: the missing number is 8.

    Answer: 8

Frequently Asked Questions

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