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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.

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  1. Which of the following is the slope of the line passing through (2, 5) and (6, 13)?

    Answer: 2

    Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

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

    Answer: 6

    f(-1) = 3(1) - 2(-1) + 1 = 3 + 2 + 1 = 6.

  3. What is the solution to the inequality 4x - 3 > 9?

    Answer: x > 3

    4x > 12, so x > 3.

  4. A linear function passes through (0, -4) and has a slope of 3. What is the equation?

    Answer: y = 3x - 4

    Using slope-intercept form y = mx + b with m = 3 and b = -4 gives y = 3x - 4.

  5. Which expression is equivalent to (2x³)(4x²)?

    Answer: 8x⁵

    Multiply coefficients 2 × 4 = 8 and add exponents 3 + 2 = 5, giving 8x⁵.

  6. What are the x-intercepts of the parabola y = x² - x - 6?

    Answer: x = -2 and x = 3

    Factor: (x - 3)(x + 2) = 0, so x = 3 or x = -2.

  7. If y varies directly with x and y = 15 when x = 5, what is y when x = 8?

    Answer: 24

    The constant of variation is k = 15/5 = 3, so y = 3(8) = 24.