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Linear-Quadratic Systems (Algebra 2)

Free printable Algebra 2 algebra worksheet on solving a system of a linear and a quadratic equation by substitution, with exact intersection points.

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Algebra 2 · Math worksheet
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Algebra 2: Linear-Quadratic Systems

Solve each system of a line and a parabola by substitution. Give the intersection point(s) as exact coordinates, or state that there is no real solution.

  1. 1.
    Solve the system algebraically: y = x² + 3x - 2 and y = x + 6
  2. 2.
    Solve the system algebraically: y = x² - 4x - 6 and y = -2x - 3
  3. 3.
    Solve the system algebraically: y = x² + x + 2 and y = 3x + 1
  4. 4.
    Solve the system algebraically: y = x² - 3x - 1 and y = -2x - 3
  5. 5.
    Solve the system algebraically: y = x² + x - 5 and y = x - 1
  6. 6.
    Solve the system algebraically: y = x² - 2x - 3 and y = -3x + 9
  7. 7.
    Solve the system algebraically: y = x² - 4x + 4 and y = -6x + 3
  8. 8.
    Solve the system algebraically: y = x² + x + 1 and y = 3x - 3
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