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Quadratic Equations Flashcards

6 cards from real Algebra Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Quadratic Equations flashcards as text

  1. What is the solution to x² = 16?

    Answer: x = ±4

    Taking the square root of both sides gives x = ±4.

  2. Which correctly factors 3x² + 9x?

    Answer: 3x(x + 3)

    Factor out the GCF of 3x to get 3x(x + 3).

  3. For the parabola y = -2x² + 4x - 1, which direction does it open?

    Answer: Downward

    Since the leading coefficient a = -2 is negative, the parabola opens downward.

  4. What is the solution set of x² + 4x + 4 = 0?

    Answer: x = -2

    Factor as (x + 2)² = 0, giving x = -2 as a double root.

  5. Using the quadratic formula, solve x² - 2x - 3 = 0.

    Answer: x = 3 and x = -1

    Using x = (2 ± √(4 + 12))/2 = (2 ± 4)/2 gives x = 3 or x = -1.

  6. What is the vertex of y = (x - 3)² + 5?

    Answer: (3, 5)

    In vertex form y = a(x - h)² + k, the vertex is (h, k) = (3, 5).