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Solve quadratics by factorising

9th grade (Year 10 in England) · 16 questions · Common Core: HSA.REI.B.4.B, HSA.SSE.B.3.A · England: GCSE Foundation Algebra, GCSE Higher Algebra

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  1. Question 1

    Solve: x² + x + 4 = 6. Give both solutions, separated by a comma.

    x =

  2. Question 2

    Solve: x² − 9x + 18 = 0. Give both solutions, separated by a comma.

    x =

  3. Question 3

    Solve: x² + 11x = 0. Give both solutions, separated by a comma.

    x =

  4. Question 4

    Solve: x² − 15 = 1. Give both solutions, separated by a comma.

    x =

  5. Question 5

    Solve: x² + 3x − 10 = 0. Give both solutions, separated by a comma.

    x =

  6. Question 6

    Solve: x² + 8x = 0. Give both solutions, separated by a comma.

    x =

  7. Question 7

    Solve: x² − 11x + 37 = 9. Give both solutions, separated by a comma.

    x =

  8. Question 8

    Solve: x² − 8x + 12 = 0. Give both solutions, separated by a comma.

    x =

  9. Question 9

    Solve: x² − 4x = 0. Give both solutions, separated by a comma.

    x =

  10. Question 10

    Solve: x² − 8 = 8. Give both solutions, separated by a comma.

    x =

  11. Question 11

    Solve: x² − 81 = 0. Give both solutions, separated by a comma.

    x =

  12. Question 12

    Solve: x² + 4x = 0. Give both solutions, separated by a comma.

    x =

  13. Question 13

    Solve: x² − 3x − 9 = 9. Give both solutions, separated by a comma.

    x =

  14. Question 14

    Solve: x² − 4x − 45 = 0. Give both solutions, separated by a comma.

    x =

  15. Question 15

    Solve: x² + 6x = 0. Give both solutions, separated by a comma.

    x =

  16. Question 16

    Solve: x² − 13x + 43 = 1. Give both solutions, separated by a comma.

    x =

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  1. x = -2 or x = 1
  2. x = 3 or x = 6
  3. x = -11 or x = 0
  4. x = -4 or x = 4
  5. x = -5 or x = 2
  6. x = -8 or x = 0
  7. x = 4 or x = 7
  8. x = 2 or x = 6
  9. x = 0 or x = 4
  10. x = -4 or x = 4
  11. x = -9 or x = 9
  12. x = -4 or x = 0
  13. x = -3 or x = 6
  14. x = -5 or x = 9
  15. x = -6 or x = 0
  16. x = 6 or x = 7