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Distribute and combine like terms with negatives

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Distribute first, then combine like terms. Write the answer as ax + b.

  1. Simplify: 5(3x + 5) + 5x − 4. Write your answer as ax + b.
  2. Simplify: 2(x + 3) − 4x − 5. Write your answer as ax + b.
  3. Simplify: −2(3x − 4) + x + 1. Write your answer as ax + b.
  4. Simplify: −2(2x − 2) − 4x + 1. Write your answer as ax + b.
  5. Simplify: 3(3x + 5) − 6x − 5. Write your answer as ax + b.
  6. Simplify: 4(3x + 7) − 9x − 7. Write your answer as ax + b.
  7. Simplify: 3(3x − 8) + x − 1. Write your answer as ax + b.
  8. Simplify: 3(2x + 9) + 7x − 8. Write your answer as ax + b.
  9. Simplify: 6(3x + 7) + 9x + 4. Write your answer as ax + b.
  10. Simplify: −6(2x − 4) + 8x − 8. Write your answer as ax + b.
  11. Simplify: 2(3x − 1) + 10x − 11. Write your answer as ax + b.
  12. Simplify: 3(3x − 8) + 10x + 7. Write your answer as ax + b.
  13. Simplify: 2(2x + 11) + 20x − 14. Write your answer as ax + b.
  14. Simplify: 6(2x − 11) + 11x − 8. Write your answer as ax + b.
  15. Simplify: 6(3x − 12) − 8x − 10. Write your answer as ax + b.
  16. Simplify: −3(2x + 4) − 5x − 15. Write your answer as ax + b.
  17. Simplify: −6(3x + 2) + 28x − 1. Write your answer as ax + b.
  18. Simplify: −4(3x − 20) − x − 12. Write your answer as ax + b.
  19. Simplify: −5(3x + 25) − 10x − 3. Write your answer as ax + b.
  20. Simplify: 2(3x − 23) − 9x + 2. Write your answer as ax + b.
More free practice: fieldbooklearning.com/uk/practice/year-8/distribute-and-combine-like-terms-with-negatives/

Answer key: Distribute and combine like terms with negatives

  1. 20x + 21
  2. -2x + 1
  3. -5x + 9
  4. -8x + 5
  5. 3x + 10
  6. 3x + 21
  7. 10x - 25
  8. 13x + 19
  9. 27x + 46
  10. -4x + 16
  11. 16x - 13
  12. 19x - 17
  13. 24x + 8
  14. 23x - 74
  15. 10x - 82
  16. -11x - 27
  17. 10x - 13
  18. -13x + 68
  19. -25x - 128
  20. -3x - 44