Back to teacher guide Browse all worksheets
Show answer key

Mathorio

Worksheet

Completing the Square

Name:
Class:
Date:

Show your work for each problem.

  1. 1.
    What value completes the square for ?
    1. a)
    2. b)
    3. c)
    4. d)
  2. 2.
    What value completes the square for ?
  3. 3.
    Which expression equals ?
    1. a)
    2. b)
    3. c)
    4. d)
  4. 4.
    Complete: . What goes in the first blank?
  5. 5.
    Write in completed square form.
  6. 6.
    What is the vertex form of ?
    1. a)
    2. b)
    3. c)
    4. d)
  7. 7.
    What is the y-coordinate of the vertex of ?
  8. 8.
    Solve by completing the square.
  9. 9.
    What value completes the square for ?
  10. 10.
    What is the x-coordinate of the vertex of ?
    1. a)
    2. b)
    3. c)
    4. d)
  11. 11.
    Convert to vertex form.
  12. 12.
    What is the vertex form of ?
    1. a)
    2. b)
    3. c)
    4. d)
  13. 13.
    Solve by completing the square. Give the solutions in exact form.
  14. 14.
    For , what is the y-coordinate of the vertex?
  15. 15.
    Convert to vertex form.
  16. 16.
    A ball's height is given by meters. What is the maximum height?
    1. a) meters
    2. b) meters
    3. c) meters
    4. d) meters
Interactive lesson with step-by-step solutions and more practice (free): mathorio.com/en/learn/algebra/quadratics/completing-the-square