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Celeste International School

Grade 6 · Worksheet

Expressions, formulae and equations

Collecting like terms

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    Simplify 7n + 9n

    1. A16n
    2. B63n
    3. C16n²
  2. 2.

    Simplify 2x + 3y + 7x + 5y

    1. A9x + 8y
    2. B17xy
    3. C9x + 3y
  3. 3.

    Simplify 6n + 3n + 5n. What number goes in front of the n?

  4. 4.

    Write y × a as simply as possible.

    1. Aya
    2. By + a
    3. Cya²
  5. 5.

    6n and 4n are like terms.

    True False
  6. 6.

    Simplify 9x + 3x

    1. A27x
    2. B12x
    3. C12x²
  7. 7.

    Simplify 3x + 8y

    1. A11xy
    2. B3x + 8y
    3. C11x
  8. 8.

    Simplify 6n + 3n + 4n. What number goes in front of the n?

  9. 9.

    Write n × b as simply as possible.

    1. An + b
    2. Bnb
    3. Cnb²
  10. 10.

    6x and 3x are like terms.

    True False
  11. 11.

    Simplify 12n − 4n

    1. A16n
    2. B8
    3. C8n
  12. 12.

    Simplify 4x + 2y + 6x + 5y

    1. A17xy
    2. B10x + 2y
    3. C10x + 7y
  13. 13.

    Write y + y as simply as possible.

    1. Ay²
    2. By2
    3. C2y
  14. 14.

    8x + 6y simplifies to 14xy.

    True False
  15. 15.

    Simplify 8a + 3a − 2a. What number goes in front of the a?

  16. 16.

    Simplify 12x − 2x

    1. A10x
    2. B14x
    3. C10
  17. 17.

    Simplify 6x + 4y + 4x + 2y

    1. A10x + 6y
    2. B16xy
    3. C10x + 4y
  18. 18.

    3n and 8n are like terms.

    True False
  19. 19.

    Sort these terms into groups of like terms: 3x, 2x, 3y, 2y

    Write each item’s group (x terms / y terms):

    • 3x
    • 2x
    • 3y
    • 2y
  20. 20.

    Simplify 8x + 5y

    1. A13xy
    2. B8x + 5y
    3. C13x
Celeste International School

Answer key

Expressions, formulae and equations — Collecting like terms

  1. 1.A. 16n
  2. 2.A. 9x + 8y
  3. 3.14
  4. 4.A. ya
  5. 5.True
  6. 6.B. 12x
  7. 7.B. 3x + 8y
  8. 8.13
  9. 9.B. nb
  10. 10.True
  11. 11.C. 8n
  12. 12.C. 10x + 7y
  13. 13.C. 2y
  14. 14.False
  15. 15.9
  16. 16.A. 10x
  17. 17.A. 10x + 6y
  18. 18.True
  19. 19.3x = x terms; 2x = x terms; 3y = y terms; 2y = y terms
  20. 20.B. 8x + 5y