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The Quadratic Formula (Algebra 1)

Free printable Algebra 1 algebra worksheet using the quadratic formula to solve equations, with the discriminant shown as part of the working.

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Algebra 1 · Math worksheet
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Algebra 1: The Quadratic Formula

Use the quadratic formula, x = (-b ± √(b² - 4ac)) / 2a, to solve each equation. Show the discriminant as part of your working.

  1. 1.
    Use the quadratic formula to solve: 2x² + 11x + 8 = 0. Give exact answers.
  2. 2.
    Use the quadratic formula to solve: 3x² + 8x - 9 = 0. Give exact answers.
  3. 3.
    Use the quadratic formula to solve: 3x² - 5x - 12 = 0. Give exact answers.
  4. 4.
    Use the quadratic formula to solve: 4x² + 7x - 4 = 0. Give exact answers.
  5. 5.
    Use the quadratic formula to solve: 2x² + 10x - 1 = 0. Give exact answers.
  6. 6.
    Use the quadratic formula to solve: 4x² - 7x - 2 = 0. Give exact answers.
  7. 7.
    Use the quadratic formula to solve: 4x² - 5x - 7 = 0. Give exact answers.
  8. 8.
    Use the quadratic formula to solve: 2x² + 11x + 6 = 0. Give exact answers.
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