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Celeste International School

Grade 6 Β· Worksheet

Expressions, formulae and equations

Expanding brackets

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

    Expand 2(n + 10)

    1. A2n + 20
    2. B2n + 10
    3. C12n
  2. 2.

    Expand 8(2g + 5). What number goes in front of the g?

  3. 3.

    3(x + 5) expands to 3x + 5.

    True False
  4. 4.

    4 meal deals each have a Β£5 sandwich and a Β£2 drink. Work out 4(5 + 2).

    Β£
  5. 5.

    Expand 8(6x βˆ’ 3). What number is subtracted at the end?

  6. 6.

    Expand 5(n + 5). What is the number on its own at the end?

  7. 7.

    Expand 3(4g + h βˆ’ 2)

    1. A12g + h βˆ’ 2
    2. B12g + 3h βˆ’ 6
    3. C12g + 3h + 6
  8. 8.

    Expand 3(x + 5), then work out its value when x = 2.

  9. 9.

    Expand 6(5x βˆ’ 3). What number is subtracted at the end?

  10. 10.

    Expand 2(x βˆ’ 10)

    1. A2x βˆ’ 10
    2. B2x + 20
    3. C2x βˆ’ 20
  11. 11.

    Expand 3(3g + h βˆ’ 8)

    1. A9g + h βˆ’ 8
    2. B9g + 3h + 24
    3. C9g + 3h βˆ’ 24
  12. 12.

    3(x + 5) expands to 3x + 15.

    True False
  13. 13.

    Expand 6(3x βˆ’ 2). What number is subtracted at the end?

  14. 14.

    Expand 8(n + 8). What is the number on its own at the end?

  15. 15.

    Expand 6(3g + h βˆ’ 8)

    1. A18g + 6h βˆ’ 48
    2. B18g + h βˆ’ 8
    3. C18g + 6h + 48
  16. 16.

    Expand 6(x + 2), then work out its value when x = 8.

  17. 17.

    What does 7(n + 3) mean?

    1. A7 Γ— (n + 3)
    2. B7 + (n + 3)
    3. C7n + 3
  18. 18.

    Expand 6(x βˆ’ 8)

    1. A6x βˆ’ 8
    2. B6x βˆ’ 48
    3. C6x + 48
  19. 19.

    Expand 7(4g + 5). What number goes in front of the g?

  20. 20.

    6(x + 9) expands to 6x + 54.

    True False
Celeste International School

Answer key

Expressions, formulae and equations β€” Expanding brackets

  1. 1.A. 2n + 20
  2. 2.16
  3. 3.False
  4. 4.28 Β£
  5. 5.24
  6. 6.25
  7. 7.B. 12g + 3h βˆ’ 6
  8. 8.21
  9. 9.18
  10. 10.C. 2x βˆ’ 20
  11. 11.C. 9g + 3h βˆ’ 24
  12. 12.True
  13. 13.12
  14. 14.64
  15. 15.A. 18g + 6h βˆ’ 48
  16. 16.60
  17. 17.A. 7 Γ— (n + 3)
  18. 18.B. 6x βˆ’ 48
  19. 19.28
  20. 20.True