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SAT Math: Quadratics (Drill 1)

Drill 1 · Math · Quadratics

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About This Drill

SAT Math: Quadratics (Drill 1) is a Math practice drill covering Quadratics. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

SAT quadratic questions ask you to factor expressions, apply the quadratic formula, complete the square, find the vertex of a parabola, and interpret what the roots and vertex represent in context. This drill covers all three main forms: standard, factored, and vertex.

Questions in This Drill

  1. What is the sum of the solutions to x² + 5x + 6 = 0?
  2. The function f(x) = (x − 3)² − 4 represents a parabola. What is the minimum value of f(x)?
  3. What is the product of the solutions to 2x² − 12x + 10 = 0?
  4. How many real solutions does the equation x² + 4x + 5 = 0 have?
  5. A ball is launched upward from the top of a building. Its height h, in feet, after t seconds is given by h(t) = −16t² + 64t + 80. What is the maximum height, in feet, that the ball reaches?