Grade 8Mathpractice16 questions

Expanding and factorising

Grade 8: expand a single bracket, factorise by taking out a common factor, collect like terms after expanding, substitute into a formula, rearrange a simple formula.

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Free to play. Teams answer on one screen; your phone is the remote. No student devices.

Questions

  1. Expand 3(x + 4)

    • 3x + 12
    • 3x + 4
    • 3x + 7
    • x + 12
    Show answer3x + 12

  2. Expand 5(2a − 3)

    • 10a + 15
    • 10a − 15
    • 10a − 3
    • 7a − 15
    Show answer10a − 15

  3. Expanding 4(y + 2) gives 4y + 8. (True or false?)

    Show answerTrue

  4. Factorise 6x + 9 by taking out the highest common factor.

    • 2(3x + 9)
    • 3(2x + 3)
    • 3(2x + 9)
    • 6(x + 9)
    Show answer3(2x + 3)

  5. Factorise 8a − 12

    • 2(4a − 3)
    • 4(2a − 12)
    • 4(2a − 3)
    • 8(a − 12)
    Show answer4(2a − 3)

  6. What is the highest common factor of 12x and 18? (Answer out loud)

    Show answer6

  7. Expand and simplify 2(x + 3) + 4x

    • 2x + 18
    • 6x + 3
    • 6x + 6
    • 8x + 6
    Show answer6x + 6

  8. Expand and simplify 3(x + 2) + 2(x − 1)

    • 5x + 4
    • 5x + 5
    • 5x + 8
    • 5x − 4
    Show answer5x + 4

  9. Factorising 5x² + 10x gives 5x(x + 2). (True or false?)

    Show answerTrue

  10. Expand and simplify 4(x + 5) − 2x. (Answer out loud)

    Show answer2x + 20

  11. Using P = 2l + 2w, find P when l = 7 and w = 3.

    • 13
    • 17
    • 20
    • 21
    Show answer20

  12. Using v = u + 5t, find v when u = 4 and t = 3.

    • 12
    • 15
    • 19
    • 27
    Show answer19

  13. If y = 3x − 2 and x = 4, then y = 14. (True or false?)

    Show answerFalse

  14. Rearrange y = x + 7 to make x the subject.

    • x = 7 − y
    • x = 7y
    • x = y + 7
    • x = y − 7
    Show answerx = y − 7

  15. Make x the subject of y = 3x.

    • x = 3 − y
    • x = 3y
    • x = y ÷ 3
    • x = y − 3
    Show answerx = y ÷ 3

  16. Make x the subject of y = 2x + 5. (Answer out loud)

    Show answerx = (y − 5) ÷ 2

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Ring the BellEvery team answers every question. A miss costs a heart; the last team standing rings the bell.High WaterAnswer right to build the class tower 2 floors higher. The sea rises every question: stay dry together!Tug of WarAnswer right to pull the rope your way. Pull it over the line to win!Lucky WheelAnswer right to spin the wheel. Win points, double your score, swap with the leader, or play again.

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