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Completing the Square (Transforming the Equation) (Algebra 1)

Free printable Algebra 1 algebra worksheet on rewriting x² + bx + c = 0 in the completed-square form (x - p)² = q.

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Algebra 1 · Math worksheet
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Algebra 1: Completing the Square (Transforming the Equation)

Rewrite each quadratic equation in the completed-square form (x - p)² = q. State the values of p and q.

  1. 1.
    Rewrite x² + 12x + 31 = 0 in the form (x - p)² = q by completing the square. State p and q.
  2. 2.
    Rewrite x² - 14x + 37 = 0 in the form (x - p)² = q by completing the square. State p and q.
  3. 3.
    Rewrite x² - 12x + 19 = 0 in the form (x - p)² = q by completing the square. State p and q.
  4. 4.
    Rewrite x² + 2x + 7 = 0 in the form (x - p)² = q by completing the square. State p and q.
  5. 5.
    Rewrite x² - 18x + 67 = 0 in the form (x - p)² = q by completing the square. State p and q.
  6. 6.
    Rewrite x² - 2x - 27 = 0 in the form (x - p)² = q by completing the square. State p and q.
  7. 7.
    Rewrite x² - 4x + 11 = 0 in the form (x - p)² = q by completing the square. State p and q.
  8. 8.
    Rewrite x² + 2x - 25 = 0 in the form (x - p)² = q by completing the square. State p and q.
  9. 9.
    Rewrite x² - 6x - 27 = 0 in the form (x - p)² = q by completing the square. State p and q.
  10. 10.
    Rewrite x² - 4x - 34 = 0 in the form (x - p)² = q by completing the square. State p and q.
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