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

College Algebra 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 College Algebra flashcards as text

  1. A polynomial function has zeros at x = -2, x = 0, and x = 5. Which could be its equation?

    Answer: f(x) = x(x + 2)(x - 5)

    Zeros at -2, 0, 5 correspond to factors (x+2), x, and (x-5).

  2. Which transformation maps y = x² to y = (x - 2)² + 3?

    Answer: Shift right 2 and up 3

    Replacing x with (x-2) shifts right 2; adding 3 outside shifts up 3.

  3. What is the value of the expression 27^(2/3)?

    Answer: 9

    27^(2/3) = (27^(1/3))² = 3² = 9.

  4. Solve for x: (x + 2)/(x - 1) = 3

    Answer: 5/2

    Cross multiply: x + 2 = 3(x - 1) → x + 2 = 3x - 3 → 5 = 2x → x = 5/2.

  5. An exponential function f(x) = ab^x passes through (0, 4) and (2, 36). What is b?

    Answer: 3

    f(0) = a = 4; f(2) = 4b² = 36 → b² = 9 → b = 3.

  6. Which of the following represents the equation of a line perpendicular to y = 3x + 2 passing through (0, 1)?

    Answer: y = -x/3 + 1

    A perpendicular slope is the negative reciprocal of 3, which is -1/3; through (0,1): y = -x/3 + 1.

  7. What is the 8th term of the geometric sequence 2, 6, 18, ...?

    Answer: 4374

    Common ratio r = 3; aₙ = 2 · 3^(n-1); a₈ = 2 · 3⁷ = 2 · 2187 = 4374.