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Choose an efficient method to solve a quadratic

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

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Date

Score/ 16

  1. Question 1

    Without solving, how many real solutions does (x − 5)² = 0 have?

    Answer

  2. Question 2

    Which method is the most efficient way to solve 4x² − 9x − 2 = 0?

    • A. Take square roots
    • B. Factorise
    • C. Use the quadratic formula

  3. Question 3

    Without solving, how many real solutions does (x + 5)² = 0 have?

    Answer

  4. Question 4

    Which method is the most efficient way to solve (x + 2)² = 24?

    • A. Take square roots
    • B. Factorise
    • C. Use the quadratic formula

  5. Question 5

    Without solving, how many real solutions does (x − 6)² = 19 have?

    Answer

  6. Question 6

    Which method is the most efficient way to solve x² + 5x − 24 = 0?

    • A. Take square roots
    • B. Factorise
    • C. Use the quadratic formula

  7. Question 7

    Without solving, how many real solutions does (x − 5)² = −15 have?

    Answer

  8. Question 8

    Which method is the most efficient way to solve 3x² + 9x − 3 = 0?

    • A. Take square roots
    • B. Factorise
    • C. Use the quadratic formula

  9. Question 9

    Without solving, how many real solutions does (x − 4)² = 30 have?

    Answer

  10. Question 10

    Which method is the most efficient way to solve x² + 8x + 15 = 0?

    • A. Take square roots
    • B. Factorise
    • C. Use the quadratic formula

  11. Question 11

    Without solving, how many real solutions does (x + 2)² = 8 have?

    Answer

  12. Question 12

    Which method is the most efficient way to solve x² + x − 72 = 0?

    • A. Take square roots
    • B. Factorise
    • C. Use the quadratic formula

  13. Question 13

    Without solving, how many real solutions does (x + 3)² = 0 have?

    Answer

  14. Question 14

    Which method is the most efficient way to solve 3x² + 7x − 5 = 0?

    • A. Take square roots
    • B. Factorise
    • C. Use the quadratic formula

  15. Question 15

    Without solving, how many real solutions does (x − 3)² = −13 have?

    Answer

  16. Question 16

    Which method is the most efficient way to solve 4x² = 8?

    • A. Take square roots
    • B. Factorise
    • C. Use the quadratic formula

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  1. 1
  2. Use the quadratic formula
  3. 1
  4. Take square roots
  5. 2
  6. Factorise
  7. 0
  8. Use the quadratic formula
  9. 2
  10. Factorise
  11. 2
  12. Factorise
  13. 1
  14. Use the quadratic formula
  15. 0
  16. Take square roots