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. Simplify: (3x²y)(−2xy³)

    Answer: −6x³y⁴

    Multiply coefficients (3·−2=−6) and add exponents for each variable: x^(2+1)=x³, y^(1+3)=y⁴.

  2. What is the slope of a line perpendicular to y = 4x − 7?

    Answer: −1/4

    Perpendicular slopes are negative reciprocals; the reciprocal of 4 is 1/4, and negating gives −1/4.

  3. Evaluate: |−8| + |3 − 10|

    Answer: 15

    |−8|=8 and |3−10|=|−7|=7, so 8+7=15.

  4. A rectangle has length (2x+3) and width (x−1). What is its area?

    Answer: 2x²+x−3

    FOIL: (2x)(x)+(2x)(−1)+(3)(x)+(3)(−1) = 2x²−2x+3x−3 = 2x²+x−3.

  5. Solve for x: 2(x − 4) = 3x + 1

    Answer: x = −9

    2x−8=3x+1 → −x=9 → x=−9.

  6. Which of the following is equivalent to 16^(3/4)?

    Answer: 8

    16^(1/4)=2 (the fourth root of 16), then 2³=8.

  7. If f(x) = x² − 3x, what is f(−2)?

    Answer: 10

    f(−2) = (−2)²−3(−2) = 4+6 = 10.