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Expanding and factorising

Grade 8 · Math · 16 questions

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Tip: print on A4, cut the flashcards along the dashed lines. The answers are on the last page.

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Worksheet: Expanding and factorising

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Answer the questions.

  1. Expand 3(x + 4)
    a) 3x + 12b) 3x + 4c) 3x + 7d) x + 12
  2. Expand 5(2a − 3)
    a) 10a + 15b) 10a − 15c) 10a − 3d) 7a − 15
  3. Expanding 4(y + 2) gives 4y + 8.
    a) Trueb) False
  4. Factorise 6x + 9 by taking out the highest common factor.
    a) 2(3x + 9)b) 3(2x + 3)c) 3(2x + 9)d) 6(x + 9)
  5. Factorise 8a − 12
    a) 2(4a − 3)b) 4(2a − 12)c) 4(2a − 3)d) 8(a − 12)
  6. What is the highest common factor of 12x and 18?
  7. Expand and simplify 2(x + 3) + 4x
    a) 2x + 18b) 6x + 3c) 6x + 6d) 8x + 6
  8. Expand and simplify 3(x + 2) + 2(x − 1)
    a) 5x + 4b) 5x + 5c) 5x + 8d) 5x − 4
  9. Factorising 5x² + 10x gives 5x(x + 2).
    a) Trueb) False
  10. Expand and simplify 4(x + 5) − 2x.
  11. Using P = 2l + 2w, find P when l = 7 and w = 3.
    a) 13b) 17c) 20d) 21
  12. Using v = u + 5t, find v when u = 4 and t = 3.
    a) 12b) 15c) 19d) 27
  13. If y = 3x − 2 and x = 4, then y = 14.
    a) Trueb) False
  14. Rearrange y = x + 7 to make x the subject.
    a) x = 7 − yb) x = 7yc) x = y + 7d) x = y − 7
  15. Make x the subject of y = 3x.
    a) x = 3 − yb) x = 3yc) x = y ÷ 3d) x = y − 3
  16. Make x the subject of y = 2x + 5.

Answers

  1. 3x + 12
  2. 10a − 15
  3. True
  4. 3(2x + 3)
  5. 4(2a − 3)
  6. 6
  7. 6x + 6
  8. 5x + 4
  9. True
  10. 2x + 20
  11. 20
  12. 19
  13. False
  14. x = y − 7
  15. x = y ÷ 3
  16. x = (y − 5) ÷ 2