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Combining Like Terms Worksheet

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Combining Like Terms Worksheet

Simplify each expression by grouping terms with the same variable part. Show your steps.

Combine Like Terms

1.Simplify: 8x + 6 − 3x + 9.

2.Simplify: 7a − 4b + 2a + 9b.

3.Simplify: 9y + 11 − 5y − 4.

4.Simplify: 6m + 3n − 2m − 8n + 5.

Group and Simplify

Identify terms that share the same variable part, then simplify each expression.

5.Simplify: 4p + 7q − 9p + 2q + 6.

6.Simplify: 3r − 8s + 6r + 5s − 12.

7.Simplify: 5x² + 3x − 8x² + 7x + 2.

Expressions in Context

Write an expression for each situation and simplify it.

8.At a farmers’ market, Zoe buys 3 baskets of apples priced at $4x each and 5 baskets of pears priced at $2x each. Write and simplify an expression for her total cost.

9.Diego sorts produce into two crates. One holds (6y + 9) items, and the other holds (4y + 15) items. Write and simplify an expression for the number of items altogether.

10.A rectangular market stall has length (5x + 2) feet and width (3x − 4) feet. Use P = 2l + 2w to write and simplify an expression for its perimeter.

11.Challenge: Simplify 4(3x − 2) + 2x + 9. Distribute before combining like terms.