Practice Test Geeks(MPT) UCF Math Placement Test Practice Test
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Core Knowledge 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 Core Knowledge flashcards as text

  1. Which value of x satisfies log₂(x) = 5?

    Answer: 32

    log₂(x)=5 means 2⁵=x, so x=32.

  2. Simplify: (2/3) ÷ (4/9)

    Answer: 3/2

    (2/3)×(9/4) = 18/12 = 3/2.

  3. What is the distance between the points (1, 2) and (5, 5)?

    Answer: 5

    √((5−1)²+(5−2)²)=√(16+9)=√25=5.

  4. A student scores 78, 85, 90, and 91 on four tests. What score is needed on the fifth test to average exactly 85?

    Answer: 81

    Total needed = 85×5=425; current sum=344; 425−344=81.

  5. What is the product of the roots of x² − 7x + 10 = 0?

    Answer: 10

    By Vieta's formulas, the product of roots equals c/a = 10/1 = 10.

  6. What is 15% of 240?

    Answer: 36

    0.15 × 240 = 36.

  7. Solve: √(2x + 1) = 5

    Answer: x = 12

    Square both sides: 2x+1=25 → 2x=24 → x=12.