Grade 7 Combining Like Terms Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 7 Combining Like Terms Practice
Solve each problem. Show your work.
- 1.Simplify: 9x + 8 + 3x - 12
- 2.Simplify: 9x - 5 + 6x + 8
- 3.Simplify: 8x + 2 - 4x + 3
- 4.Simplify: 7x + 11 - 2x - 6
- 5.Simplify: 4x + 8 + 1x + 1
- 6.Simplify: 6x + 12 + 1x + 1
- 7.Simplify: 3x + 9 - 4x - 10
- 8.Simplify: 8x + 4x + 3
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Show answer key
- Question 1: 12x - 4
- Question 2: 15x + 3
- Question 3: 4x + 5
- Question 4: 5x + 5
- Question 5: 5x + 9
- Question 6: 7x + 13
- Question 7: -x - 1
- Question 8: 12x + 3
Learning path
Where this skill fits
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Prerequisite
Evaluating Expressions
Grade 7
You are here
Combining Like Terms
Grade 7
Next step
Distributive Property
Grade 7
Next step
Two-Step Equations
Grade 7
Related practice
Next Steps
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About These Worksheets
Grade 7 students begin combining simple like terms as part of simplifying expressions and preparing for equations.
Combining like terms worksheets teach students to simplify algebraic expressions by grouping terms with the same variable part. Students learn that 3x and 5x can combine because they both count x's, while 3x and 5 are different kinds of terms and must stay separate. This distinction is one of the first places students see algebra as structure rather than arithmetic with letters.
The worksheets include positive and negative coefficients, constants, and expressions with terms in mixed order. Students practise rearranging terms mentally, combining coefficients, and writing simplified expressions neatly. This skill is essential before solving more complicated equations because unsimplified expressions make every later step harder. Combining like terms also prepares students for polynomials, distributive property work, and linear relations, where simplifying expressions is often the hidden first step.
Skills Practised
- Identifying terms with the same variable part
- Combining coefficients of like variable terms
- Combining constants separately
- Simplifying expressions with positive and negative terms
- Rewriting mixed-order expressions in simplified form
Parent Tip: Use a collecting analogy: x-terms go in one pile and plain numbers go in another. The piles can be simplified, but unlike piles cannot be mixed.