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Unit 7 Review: Solving Quadratic Equations

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  • What methods of solving quadratic equations have we learned so far?
    Square root, factoring, completing the square, quadratic formula, zero product property
  • What are the two solution(s) to the equation: (x - 3)(2x + 18) = 0
    x = 3, x = -9
  • Use the quadratic formula to solve the equation: x² + 9x + 18 = 0
    x = -3, x = -6
  • What are the two solution(s) to the equation: (x - 5)² = 0
    x = 5
  • What are the two solutions to the equation: 432 = 3x²
    x = -12, x = 12
  • What are the two solutions to the equation: (x+ 1)² = 144
    x = 11, x = -13
  • Rewrite the equation into factored form: x² + 35x - 36
    (x + 36)(x - 1)
  • Use the quadratic formula to solve the equation: x² - 4x = 21
    x = -3, x = 7
  • Use the quadratic formula to solve the equation: 3x² - 6x - 9 = 0
    x = -1, x = 3
  • Identify the a, b, and c values of the equation: x² = 121
    a = 1, b = 0, c = 121
  • How do we write a quadratic equation in standard form?
    ax² + bx + c
  • What are the two solution(s) to the equation: (7 - x)(x + 4) = 0
    x = 7, x = -4
  • Rewrite the equation into factored form: x² + 6x + 9
    (x + 3)(x + 3)
  • Identify the a, b, and c values of the equation: -x² + 9x + 18 = 0
    a = -1, b = 9, c = 18
  • Rewrite the equation into factored form: x² + 13x + 30
    (x + 3)(x + 10)
  • Use the quadratic formula to solve the equation: x² + 11x + 24 = 0
    x = -8, x = -3
  • Use the quadratic formula to solve the equation: x² +3x - 10 = 0
    x = -5, x = 2
  • Rewrite the equation into factored form: x² - 7x + 12
    (x - 4)(x - 3)
  • Use the quadratic formula to solve the equation: 4x² + 20x + 25 = 0
    x = - 2.5
  • BAAMBOOZLE DOUBLE!!! Recite the quadratic formula >:)
    -b plus or minus the square root of b² minus 4ac divided by 2a
  • What are the two solutions to the equation: x² + 4 = 404
    x = -20, x = 20
  • What are the two solutions to the equation: (x - 5)² - 30 = 70
    x = 5, x = -15
  • Use the quadratic formula to solve the equation: 2x² - 7x = 15
    x = -1.5, x = 5
  • Square roots have what type of solutions?
    Positive and negative