Practice Test Geeks(MPT) UCF Math Placement Test Practice Test
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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 Algebra flashcards as text

  1. Which expression is equivalent to (x³ · x⁻¹)²?

    Answer: x⁴

    x³ · x⁻¹ = x² and (x²)² = x⁴.

  2. The sum of three consecutive integers is 54. What is the largest integer?

    Answer: 19

    If the integers are n, n+1, n+2, then 3n + 3 = 54, n = 17, and the largest is 19.

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

    Answer: (2, 5)

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

  4. Solve for x: (x/3) - 2 = (x/6) + 1

    Answer: 18

    Multiplying through by 6 gives 2x - 12 = x + 6, so x = 18.

  5. If g(x) = x² - 4 and h(x) = x + 2, what is g(x)/h(x) simplified (x ≠ -2)?

    Answer: x - 2

    g(x) = (x-2)(x+2) and dividing by h(x) = (x+2) gives (x - 2).

  6. Two numbers have a sum of 20 and a product of 75. What are the numbers?

    Answer: 5 and 15

    5 + 15 = 20 and 5 × 15 = 75, so the numbers are 5 and 15.

  7. Which inequality represents 'three less than twice a number is at most 11'?

    Answer: 2n - 3 ≤ 11

    'Twice a number' is 2n, 'three less than' means subtract 3, and 'at most 11' means ≤ 11.