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.

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  1. What is the vertex of the parabola y = (x - 3)² + 5?

    Answer: (3, 5)

    In vertex form y = (x - h)² + k, the vertex is (h, k) = (3, 5).

  2. Which of the following is a rational number?

    Answer: √9

    √9 = 3, which is an integer and therefore rational; the others are irrational.

  3. Evaluate the arithmetic sequence term: a₁ = 7, d = 4, find a₆.

    Answer: 27

    aₙ = a₁ + (n-1)d → a₆ = 7 + 5(4) = 7 + 20 = 27.

  4. What is the result of (2 + 3i)(2 - 3i)?

    Answer: 13

    (2+3i)(2-3i) = 4 - 9i² = 4 - 9(-1) = 13.

  5. Which of the following correctly describes an exponential function?

    Answer: f(x) = 2ˣ

    An exponential function has the variable in the exponent, as in f(x) = 2ˣ.

  6. Solve the system: x + y = 10 and x - y = 4.

    Answer: x = 7, y = 3

    Adding the equations: 2x = 14 → x = 7; substituting: y = 10 - 7 = 3.

  7. What is the value of tan(45°)?

    Answer: 1

    tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.