Section 8.8: Mixed Practice

  1. Solve \( x^2 + 7x + 12 = 0 \) by factoring.
  2. Solve \( 2x^2 - 3x - 5 = 0 \) using the quadratic formula.
  3. Graph \( y = -x^2 + 4x - 3 \) and identify vertex and intercepts.
  4. Find the maximum value of \( y = -3x^2 + 12x - 7 \).
  5. Solve \( x^2 - 5x + 6 = 0 \) and interpret the solution in a context problem.
  6. Word problem: Area of a rectangle is 24 m², perimeter is 20 m. Find dimensions.
  7. Solve \( -x^2 + 6x - 8 = 0 \) and determine vertex.
  8. Revenue problem: \( R(x) = -2x^2 + 20x \). Find x for maximum revenue.
  9. Projectile: \( h(t) = -5t^2 + 15t + 2 \). Find max height and time.
  10. Solve \( y = x^2 - 4x + 3 \) and graph it.
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