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

    Answer: (3, 5)

    The vertex form y = a(x - h)² + k gives vertex (h, k) = (3, 5).

  2. If f(x) = 3x² - 2x + 1, what is f(-2)?

    Answer: 17

    f(-2) = 3(4) - 2(-2) + 1 = 12 + 4 + 1 = 17.

  3. Solve the inequality: 2x - 5 > 3. Which answer correctly expresses the solution?

    Answer: x > 4

    Add 5 to both sides: 2x > 8, then divide by 2: x > 4.

  4. What are the roots of x² - 5x + 6 = 0?

    Answer: x = 2 and x = 3

    Factor as (x - 2)(x - 3) = 0, giving roots x = 2 and x = 3.

  5. Which expression is equivalent to log₂(8) + log₂(4)?

    Answer: 5

    log₂(8) = 3 and log₂(4) = 2, so their sum is 5.

  6. A line passes through (1, 2) and (4, 8). What is its slope?

    Answer: 2

    Slope = (8 - 2)/(4 - 1) = 6/3 = 2.

  7. Simplify: (x³y²)/(x⁻¹y⁴)

    Answer: x⁴/y²

    Divide exponents: x^(3-(-1)) = x⁴ and y^(2-4) = y⁻² = 1/y².