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Combining Like Terms Worksheet Generator

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20 verified problemsSeed 482731
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Worksheet #482731
Algebra practice

Combining Like Terms

Name Date
  1. −4x − 3 + 9x + 8
  2. −6x − 11 − 5x − 8
  3. −5x − 5 + 3x + 11
  4. −9x − 12 + 7x − 13
  5. 9x + 1 − 8x − 14
  6. 7x + 9 + 3x + 14
  7. 5x − 2 − 7x + 13
  8. −6x − 7 − x − 2
  9. −5x − 14 − 2x − 9
  10. 3x + 7 − x + 4
  11. −2x + 2 + 9x − 3
  12. 6x − 5 + 7x + 13
  13. 9x + 13 − 4x + 8
  14. 7x − 12 + x − 8
  15. 8x + 13 − 7x + 12
  16. −4x − 13 + 6x + 4
  17. 7x − 7 + 2x − 8
  18. 6x + 7 − 7x − 8
  19. 2x − 7 + 5x + 10
  20. 6x − 8 + x − 11
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What is combining like terms?

Like terms have identical variable parts. Combine their coefficients, then combine constants separately to simplify an expression.

How to solve combining like terms

  1. Identify terms with the same variable and exponent.
  2. Add or subtract the coefficients of matching terms.
  3. Combine constants and write the simplified expression.

Worked example

3x + 5 + 2x − 7

  1. Combine 3x + 2x to get 5x.
  2. Combine 5 − 7 to get −2.

Answer: 5x − 2

Common mistakes

  • Combining a variable term with a constant.
  • Changing the variable or its exponent.
  • Ignoring the sign immediately before a term.

Practice tips

  • Underline variable terms and circle constants.
  • Rewrite subtraction as adding a negative when signs feel unclear.