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Solving Quadratics by Taking Square Roots (Algebra 1)

Free printable Algebra 1 algebra worksheet on solving quadratic equations of the form x² = k and (x - p)² = q by taking square roots, with exact simplified-radical answers.

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Algebra 1 · Math worksheet
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Algebra 1: Solving Quadratics by Taking Square Roots

Solve each equation by taking the square root of both sides. Give exact answers, simplifying any radical.

  1. 1.
    Solve: x² = 22
  2. 2.
    Solve: x² = 14
  3. 3.
    Solve: x² = 92
  4. 4.
    Solve: x² = 88
  5. 5.
    Solve: x² = 207
  6. 6.
    Solve: x² = 68
  7. 7.
    Solve: (x + 8)² = 10
  8. 8.
    Solve: (x - 6)² = 198
  9. 9.
    Solve: (x + 1)² = 112
  10. 10.
    Solve: (x - 3)² = 19
  11. 11.
    Solve: (x - 9)² = 63
  12. 12.
    Solve: (x - 6)² = 27
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