Practice Test Geeks(MPT) UCF Math Placement Test Practice Test
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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. What is the domain of f(x) = √(2x - 6)?

    Answer: x ≥ 3

    The radicand must be ≥ 0: 2x - 6 ≥ 0 → x ≥ 3.

  2. Which equation represents a circle with center (2, -1) and radius 4?

    Answer: (x-2)² + (y+1)² = 16

    Standard form (x-h)² + (y-k)² = r² with h=2, k=-1, r=4 gives (x-2)² + (y+1)² = 16.

  3. Solve for x: log₃(x) = 4

    Answer: 81

    Converting from log form: x = 3⁴ = 81.

  4. Factor completely: 2x² + 7x + 3

    Answer: (2x + 1)(x + 3)

    Check: (2x + 1)(x + 3) = 2x² + 6x + x + 3 = 2x² + 7x + 3.

  5. If f(x) = 2x + 1 and g(x) = x², what is (f ∘ g)(3)?

    Answer: 19

    (f ∘ g)(3) = f(g(3)) = f(9) = 2(9) + 1 = 19.

  6. What is the sum of the arithmetic series 2 + 5 + 8 + ... + 29?

    Answer: 155

    There are (29-2)/3 + 1 = 10 terms; sum = 10(2+29)/2 = 5(31) = 155.

  7. Which value of x satisfies 4^x = 32?

    Answer: 5/2

    Rewrite as 2^(2x) = 2⁵, so 2x = 5 and x = 5/2.