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Factorise fully, including variable and negative common factors

7th grade (Year 8 in England) · 16 questions · Common Core: 7.EE.A.1 · England: KS3 Algebra, GCSE Foundation Algebra

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  1. Question 1

    Factorise −6x − 12 by taking out a negative common factor.

    • A. −6(x + 2)
    • B. −6(x + 12)
    • C. −(6x − 12)
    • D. 6(x + 2)

  2. Question 2

    Mateo factorises 12x + 4 as 2(6x + 2). Is it fully factorised?

    • A. Yes
    • B. No, it should be 4(3x + 1)

  3. Question 3

    Factorise fully: 6xy + 48x

    • A. 6x(y + 8)
    • B. 6x(y + 48)
    • C. 6y(x + 8)
    • D. 6(xy + 8x)

  4. Question 4

    Factorise −5x − 40 by taking out a negative common factor.

    • A. −5(x + 40)
    • B. −(5x − 40)
    • C. −5(x + 8)
    • D. 5(x + 8)

  5. Question 5

    Luis factorises 12x + 30 as 2(6x + 15). Is it fully factorised?

    • A. Yes
    • B. No, it should be 6(2x + 5)

  6. Question 6

    Factorise fully: 5xy + 10x

    • A. 5x(y + 2)
    • B. 5x(y + 10)
    • C. 5y(x + 2)
    • D. 5(xy + 2x)

  7. Question 7

    Factorise −4x − 16 by taking out a negative common factor.

    • A. −(4x − 16)
    • B. 4(x + 4)
    • C. −4(x − 4)
    • D. −4(x + 4)

  8. Question 8

    Luis factorises 18x + 24 as 6(3x + 4). Is it fully factorised?

    • A. Yes
    • B. No, it should be 6(3x + 4)

  9. Question 9

    Factorise fully: 2xy + 12x

    • A. 2y(x + 6)
    • B. 2(xy + 6x)
    • C. 2x(y + 6)
    • D. x(2y + 12)

  10. Question 10

    Factorise −3x − 24 by taking out a negative common factor.

    • A. −3(x + 8)
    • B. −(3x − 24)
    • C. −3(x − 8)
    • D. −3(x + 24)

  11. Question 11

    Hiro factorises 24x + 42 as 2(12x + 21). Is it fully factorised?

    • A. Yes
    • B. No, it should be 6(4x + 7)

  12. Question 12

    Factorise fully: 7xy + 21x

    • A. 7y(x + 3)
    • B. 7x(y + 3)
    • C. 7(xy + 3x)
    • D. x(7y + 21)

  13. Question 13

    Factorise −6x − 54 by taking out a negative common factor.

    • A. −6(x − 9)
    • B. 6(x + 9)
    • C. −6(x + 54)
    • D. −6(x + 9)

  14. Question 14

    Diego factorises 16x + 8 as 8(2x + 1). Is it fully factorised?

    • A. Yes
    • B. No, it should be 8(2x + 1)

  15. Question 15

    Factorise fully: 4xy + 32x

    • A. 4y(x + 8)
    • B. 4(xy + 8x)
    • C. 4x(y + 32)
    • D. 4x(y + 8)

  16. Question 16

    Factorise −5x − 25 by taking out a negative common factor.

    • A. −5(x + 25)
    • B. −5(x + 5)
    • C. −5(x − 5)
    • D. 5(x + 5)

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  1. −6(x + 2)
  2. No, it should be 4(3x + 1)
  3. 6x(y + 8)
  4. −5(x + 8)
  5. No, it should be 6(2x + 5)
  6. 5x(y + 2)
  7. −4(x + 4)
  8. Yes
  9. 2x(y + 6)
  10. −3(x + 8)
  11. No, it should be 6(4x + 7)
  12. 7x(y + 3)
  13. −6(x + 9)
  14. Yes
  15. 4x(y + 8)
  16. −5(x + 5)