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NBT Algebra and Functions Flashcards

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

Read the first 7 NBT Algebra and Functions flashcards as text

  1. If f(x) = 2x² − 3x + 1, what is f(−2)?

    Answer: 15

    f(−2) = 2(4) − 3(−2) + 1 = 8 + 6 + 1 = 15.

  2. Which value of x satisfies |2x − 5| = 9?

    Answer: x = 7 or x = −2

    2x − 5 = 9 gives x = 7, and 2x − 5 = −9 gives x = −2.

  3. A function g satisfies g(2) = 5 and g(x + 1) = g(x) + 3 for all x. What is g(5)?

    Answer: 14

    g(3) = 8, g(4) = 11, g(5) = 14 by applying the recurrence three times.

  4. What is the range of f(x) = −x² + 4?

    Answer: (−∞, 4]

    The parabola opens downward with vertex at (0, 4), so f(x) ≤ 4 for all x.

  5. If 3^(x+1) = 81, what is x?

    Answer: 3

    81 = 3⁴, so x + 1 = 4, giving x = 3.

  6. Two lines are perpendicular. One has slope 2/3. What is the slope of the other?

    Answer: −3/2

    Perpendicular slopes are negative reciprocals: −1 ÷ (2/3) = −3/2.

  7. Which inequality represents the solution to −4x + 3 > 11?

    Answer: x < −2

    −4x > 8 → x < −2 (inequality flips when dividing by a negative).