Practice Test Geeks(MPT) UCF Math Placement Test Practice Test
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Technical Foundations 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.

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  1. Which set of numbers is ordered from least to greatest: −2, 0, −5, 3, −1?

    Answer: −5, −2, −1, 0, 3

    On a number line, the correct order is −5 < −2 < −1 < 0 < 3.

  2. Evaluate f(x) = x² − 3x + 1 at x = 4.

    Answer: 5

    f(4) = 16 − 12 + 1 = 5.

  3. What is the perimeter of a square with area 49 cm²?

    Answer: 28 cm

    Side = √49 = 7 cm, so perimeter = 4 × 7 = 28 cm.

  4. Simplify: (2x³y²)³

    Answer: 8x⁹y⁶

    Raise each factor to the power 3: 2³=8, x³·³=x⁹, y²·³=y⁶ → 8x⁹y⁶.

  5. A jar contains 5 red and 3 blue marbles. What is the probability of drawing a blue marble?

    Answer: 3/8

    P(blue) = 3 blue / 8 total = 3/8.

  6. What is the value of 3⁰ + 5¹ + 2²?

    Answer: 10

    3⁰=1, 5¹=5, 2²=4; sum = 1+5+4 = 10.

  7. Factor completely: x² − x − 12

    Answer: (x − 4)(x + 3)

    Find two numbers that multiply to −12 and add to −1: −4 and 3, giving (x−4)(x+3).