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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

Name

Date

Score/ 16

  1. Question 1

    Without solving, how many real solutions does (x − 5)² = 30 have?

    Answer

  2. Question 2

    Which method is the most efficient way to solve (x − 1)² = 25?

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

  3. Question 3

    Without solving, how many real solutions does (x + 6)² = −10 have?

    Answer

  4. Question 4

    Which method is the most efficient way to solve 3x² = 120?

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

  5. Question 5

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

    Answer

  6. Question 6

    Which method is the most efficient way to solve 5x² + 6x − 3 = 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 = −11 have?

    Answer

  8. Question 8

    Which method is the most efficient way to solve (x − 6)² = 17?

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

  9. Question 9

    Without solving, how many real solutions does (x − 6)² = −12 have?

    Answer

  10. Question 10

    Which method is the most efficient way to solve 2x² − 8x + 7 = 0?

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

  11. Question 11

    Without solving, how many real solutions does (x − 1)² = 7 have?

    Answer

  12. Question 12

    Which method is the most efficient way to solve 5x² = 52?

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

  13. Question 13

    Without solving, how many real solutions does (x + 2)² = 24 have?

    Answer

  14. Question 14

    Which method is the most efficient way to solve x² + x − 20 = 0?

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

  15. Question 15

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

    Answer

  16. Question 16

    Which method is the most efficient way to solve (x − 5)² = 18?

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

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Answer key: Choose an efficient method to solve a quadratic

  1. 1. 2

  2. 2. A. Take square roots

  3. 3. 0

  4. 4. A. Take square roots

  5. 5. 2

  6. 6. C. Use the quadratic formula

  7. 7. 0

  8. 8. A. Take square roots

  9. 9. 0

  10. 10. C. Use the quadratic formula

  11. 11. 2

  12. 12. A. Take square roots

  13. 13. 2

  14. 14. B. Factorise

  15. 15. 1

  16. 16. A. Take square roots