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Combine like terms to simplify expressions

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

Gather the like terms: same letter, or plain numbers. Add or subtract their numbers, keeping each sign.

  1. Simplify (letter term first, then the number): 9y + 3 + 4y + 6
  2. Simplify (letter term first, then the number): 7 + 9a + 7a + 5
  3. Simplify (letter term first, then the number): n + n + 9 + 4
  4. Simplify (letter term first, then the number): 6 + 6w + 1 + 8w
  5. Simplify (letters in alphabetical order, number last): y + 9t + 8 + 3y + t
  6. Simplify (letters in alphabetical order, number last): 3n + 2x + 8 + 8 + 6
  7. Simplify (letters in alphabetical order, number last): 6w + 3 + 5x + 2 + 2x
  8. Simplify (letters in alphabetical order, number last): 9m + 6 + 7 + 7a + 9m
  9. Simplify (letter term first, then the number): 9a − 3a + 6a + 1 + 3a
  10. Simplify (letter term first, then the number): 2m − 2 + 6 + 8m + 7
  11. Simplify (letter term first, then the number): 7t + 9 + 1 + 1 − 6
  12. Simplify (letter term first, then the number): 9b + 6b + 6 + 2 + 6
  13. Simplify (letters in alphabetical order, number last): 5p + 6b + 6 + 8 − 5 + 4p
  14. Simplify (letters in alphabetical order, number last): 6 + b + 9y − 4y + b + 8y
  15. Simplify (letters in alphabetical order, number last): 1 + 7t + 3y + 9 + 6t + 1
  16. Simplify (letters in alphabetical order, number last): 3b + 7 + 9b + 7b + 6x + 9b
  17. Simplify (letters in alphabetical order, number last): 17 + 18x − w + 8x − 12 + 6x + 7w + 15w
  18. Simplify (letters in alphabetical order, number last): 6 − 15b − 7 + 9 + 16y + 13 + 15 + 19b
  19. Simplify (letters in alphabetical order, number last): n + 17x − 5x − 4x + 6 + 5x + 17 + 3
  20. Simplify (letters in alphabetical order, number last): y + 3m + 5m + 20m + 7y + 20 + 7y + 19
More free practice: fieldbooklearning.com/uk/practice/year-7/combine-like-terms-to-simplify-expressions/

Answer key: Combine like terms to simplify expressions

  1. 13y + 9
  2. 16a + 12
  3. 2n + 13
  4. 14w + 7
  5. 10t + 4y + 8
  6. 3n + 2x + 22
  7. 6w + 7x + 5
  8. 7a + 18m + 13
  9. 15a + 1
  10. 10m + 11
  11. 7t + 5
  12. 15b + 14
  13. 6b + 9p + 9
  14. 2b + 13y + 6
  15. 13t + 3y + 11
  16. 28b + 6x + 7
  17. 21w + 32x + 5
  18. 4b + 16y + 36
  19. n + 13x + 26
  20. 28m + 15y + 39