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Mathematical Reasoning Algebra and Functions Flashcards

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

Read the first 7 Mathematical Reasoning Algebra and Functions flashcards as text

  1. What is the domain of the function f(x) = √(x - 4)?

    Answer: x ≥ 4

    The expression under the radical must be ≥ 0, so x - 4 ≥ 0, meaning x ≥ 4.

  2. Factor completely: 2x² + 8x

    Answer: 2x(x + 4)

    The GCF of 2x² and 8x is 2x, so 2x² + 8x = 2x(x + 4).

  3. A store sells T-shirts for $12 each plus a one-time shipping fee of $5. Which equation models the total cost T for n shirts?

    Answer: T = 12n + 5

    Each shirt costs $12 (variable) plus a flat $5 shipping, so T = 12n + 5.

  4. Which of the following represents an exponential growth function?

    Answer: y = 3(2)ˣ

    Exponential functions have the variable in the exponent with a base greater than 1, like y = 3(2)ˣ.

  5. Solve for x: (x/3) + 5 = 9

    Answer: x = 12

    x/3 = 4, so x = 12.

  6. Two lines are parallel. Line 1 has equation y = 4x - 7. Which could be the equation of Line 2?

    Answer: y = 4x + 9

    Parallel lines have identical slopes; y = 4x + 9 has the same slope of 4.

  7. If p(x) = x³ - 8, what is p(2)?

    Answer: 0

    p(2) = 2³ - 8 = 8 - 8 = 0.