Practice Test Geeks(MPT) UCF Math Placement Test Practice Test
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Standards Flashcards

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

Read the first 7 Standards flashcards as text

  1. Which expression is equivalent to (x² - 9) / (x - 3)?

    Answer: x + 3

    x² - 9 factors as (x+3)(x-3), so dividing by (x-3) leaves x+3.

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

    Answer: 2

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

  3. Solve for x: 2x² - 8 = 0

    Answer: x = ±2

    2x² = 8 → x² = 4 → x = ±2.

  4. Which of the following is the correct domain of f(x) = 1/(x² - 4)?

    Answer: All real x except x = ±2

    The denominator x² - 4 = 0 when x = ±2, so those values are excluded.

  5. What is the value of log₂(32)?

    Answer: 5

    2⁵ = 32, so log₂(32) = 5.

  6. If f(x) = 3x - 4, what is f⁻¹(x)?

    Answer: (x + 4)/3

    Swap x and y in y = 3x - 4 and solve: x = 3y - 4 → y = (x+4)/3.

  7. Which inequality represents the solution to -3x + 6 > 0?

    Answer: x < 2

    -3x > -6 → dividing by -3 and flipping: x < 2.