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Completing the square Quiz: printable

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Completing the square Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/algebra-1/completing-the-square/quiz/

  1. 1

    Solve x2 + 6x = 7 by completing the square
    1. A) x = 1
    2. B) x = −1 or x = −7
    3. C) x = −1 or x = 7
    4. D) x = 1 or x = −7

  2. 2

    Solve x2 + 4x = 5 by completing the square

    Answer: ____________________

  3. 3

    Solve x2 + 8x = 9 by completing the square
    1. A) x = 1
    2. B) x = −1 or x = −9
    3. C) x = −1 or x = 9
    4. D) x = 1 or x = −9

  4. 4

    Solve x2 + 2x = 8 by completing the square

    Answer: ____________________

  5. 5

    Complete the square: x2 + 10x + 21 = 0. Find x.
    1. A) x = −3 or x = −7
    2. B) x = −3
    3. C) x = 3 or x = −7
    4. D) x = 3 or x = 7

  6. 6

    Solve x2 − 8x + 13 = 0 by completing the square

    Answer: ____________________

  7. 7

    Solve x2 + 6x + 2 = 0 by completing the square

    Answer: ____________________

  8. 8

    Solve x2 − 10x = −16 by completing the square

    Answer: ____________________

  9. 9

    Solve x2 + 2x − 1 = 0 by completing the square

    Answer: ____________________

  10. 10

    Solve x2 + 12x + 20 = 0 by completing the square

    Answer: ____________________

Answer key

  1. D x = 1 or x = −7
  2. x = 1 or x = −5
  3. D x = 1 or x = −9
  4. x = 2 or x = −4
  5. A x = −3 or x = −7
  6. x = 4 + √3 or x = 4 − √3
  7. x = −3 + √7 or x = −3 − √7
  8. x = 8 or x = 2
  9. x = −1 + √2 or x = −1 − √2
  10. x = −2 or x = −10

Every answer solved step by step: steplyclass.com/algebra-1/completing-the-square/quiz/answers/