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Keystone Algebra: Polynomials and Quadratic Functions Flashcards

6 cards from real Keystone 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 Keystone Algebra: Polynomials and Quadratic Functions flashcards as text

  1. What is the y-intercept of the quadratic y = 3x² − 4x + 7?

    Answer: 7

    The y-intercept occurs at x = 0, giving y = 3(0)² − 4(0) + 7 = 7.

  2. Which expression is equivalent to (x + 5)²?

    Answer: x² + 10x + 25

    (x + 5)² = x² + 2(5)x + 25 = x² + 10x + 25.

  3. How many real solutions does x² + 4 = 0 have?

    Answer: None

    x² = −4 has no real solutions because no real number squared equals a negative.

  4. What is the sum of the polynomials (3x² + 2x) and (x² − 5x + 4)?

    Answer: 4x² − 3x + 4

    Combine like terms: (3+1)x² + (2−5)x + 4 = 4x² − 3x + 4.

  5. A ball is thrown upward and its height is h = −16t² + 64t. At what time does it reach maximum height?

    Answer: t = 2 seconds

    Using t = −b/(2a) = −64/(2·(−16)) = −64/−32 = 2 seconds.

  6. Which is the correct factored form of x² − 16?

    Answer: (x − 4)(x + 4)

    x² − 16 is a difference of squares: (x − 4)(x + 4).

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