Practice Test Geeks(MPT) UCF Math Placement Test Practice Test
← All MPT Flashcard Decks

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 expression is equivalent to (a + b)²?

    Answer: a² + 2ab + b²

    (a+b)²=a²+2ab+b²; the middle term 2ab is frequently omitted in errors.

  2. If a line passes through (0, 4) and (2, 0), what is its equation?

    Answer: y = −2x + 4

    Slope = (0−4)/(2−0) = −2; y-intercept = 4 → y=−2x+4.

  3. Which of the following is a prime number?

    Answer: 61

    61 is prime; 51=3×17, 57=3×19, 63=9×7.

  4. Convert 0.00045 to scientific notation.

    Answer: 4.5 × 10⁻⁴

    Move the decimal 4 places right to get 4.5, giving 4.5×10⁻⁴.

  5. Simplify: (5x³)² / (25x⁴)

    Answer: x²

    (5x³)²=25x⁶; 25x⁶/25x⁴=x².

  6. A jar has 4 red, 3 blue, and 5 green marbles. What is the probability of randomly picking a blue marble?

    Answer: 3/12

    There are 3 blue out of 4+3+5=12 total, so P=3/12=1/4.

  7. What is the range of the data set {4, 7, 7, 9, 13, 15}?

    Answer: 11

    Range = maximum − minimum = 15 − 4 = 11.