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Distributive property with negative numbers

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

Multiply the number outside the parentheses by every term inside. Write the answer as ax + b.

  1. Expand: 3(−3x + 8). Write your answer as ax + b.
  2. Expand: 2(3x − 2). Write your answer as ax + b.
  3. Expand: 3(2x − 9). Write your answer as ax + b.
  4. Expand: 3(x + 8). Write your answer as ax + b.
  5. Expand: −4(x − 7). Write your answer as ax + b.
  6. Expand: −7(x + 1). Write your answer as ax + b.
  7. Expand: −7(−2x + 4). Write your answer as ax + b.
  8. Expand: −2(x + 11). Write your answer as ax + b.
  9. Expand: 7(x − 10). Write your answer as ax + b.
  10. Expand: −4(x − 13). Write your answer as ax + b.
  11. Expand: 10(−x − 11). Write your answer as ax + b.
  12. Expand: −11(−x + 5). Write your answer as ax + b.
  13. Expand: 15(−x − 19). Write your answer as ax + b.
  14. Expand: 11(3x − 2). Write your answer as ax + b.
  15. Expand: 15(3x − 15). Write your answer as ax + b.
  16. Expand: 2(x + 8). Write your answer as ax + b.
  17. Expand: 8(x + 26). Write your answer as ax + b.
  18. Expand: 12(−x + 13). Write your answer as ax + b.
  19. Expand: 9(2x − 13). Write your answer as ax + b.
  20. Expand: −9(x + 3). Write your answer as ax + b.
More free practice: fieldbooklearning.com/uk/practice/year-8/distributive-property-with-negative-numbers/

Answer key: Distributive property with negative numbers

  1. -9x + 24
  2. 6x - 4
  3. 6x - 27
  4. 3x + 24
  5. -4x + 28
  6. -7x - 7
  7. 14x - 28
  8. -2x - 22
  9. 7x - 70
  10. -4x + 52
  11. -10x - 110
  12. 11x - 55
  13. -15x - 285
  14. 33x - 22
  15. 45x - 225
  16. 2x + 16
  17. 8x + 208
  18. -12x + 156
  19. 18x - 117
  20. -9x - 27