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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 − 7x = 0. Give both solutions, separated by a comma.

    x =

  2. Question 2

    Solve: x² − 4x + 13 = 10. Give both solutions, separated by a comma.

    x =

  3. Question 3

    Solve: x² + 11x + 28 = 0. Give both solutions, separated by a comma.

    x =

  4. Question 4

    Solve: x² − 5x = 0. Give both solutions, separated by a comma.

    x =

  5. Question 5

    Solve: x² − 4x − 11 = 10. Give both solutions, separated by a comma.

    x =

  6. Question 6

    Solve: x² + 12x + 32 = 0. Give both solutions, separated by a comma.

    x =

  7. Question 7

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

    x =

  8. Question 8

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

    x =

  9. Question 9

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

    x =

  10. Question 10

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

    x =

  11. Question 11

    Solve: x² − 7x − 1 = 7. Give both solutions, separated by a comma.

    x =

  12. Question 12

    Solve: x² + 9x + 8 = 0. Give both solutions, separated by a comma.

    x =

  13. Question 13

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

    x =

  14. Question 14

    Solve: x² − 15 = 10. Give both solutions, separated by a comma.

    x =

  15. Question 15

    Solve: x² − 13x + 42 = 0. Give both solutions, separated by a comma.

    x =

  16. Question 16

    Solve: x² − 2x = 0. Give both solutions, separated by a comma.

    x =

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Answer key: Solve quadratics by factorising

  1. 1. x = 0 or x = 7

  2. 2. x = 1 or x = 3

  3. 3. x = -7 or x = -4

  4. 4. x = 0 or x = 5

  5. 5. x = -3 or x = 7

  6. 6. x = -8 or x = -4

  7. 7. x = -3 or x = 0

  8. 8. x = -5 or x = 4

  9. 9. x = -2 or x = 5

  10. 10. x = -12 or x = 0

  11. 11. x = -1 or x = 8

  12. 12. x = -8 or x = -1

  13. 13. x = 0 or x = 11

  14. 14. x = -5 or x = 5

  15. 15. x = 6 or x = 7

  16. 16. x = 0 or x = 2