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. Solve: |2x - 6| = 10

    Answer: x = 8 or x = -2

    2x - 6 = 10 gives x = 8; 2x - 6 = -10 gives x = -2.

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

    Answer: x = -2 and x = -3

    Factoring gives (x + 2)(x + 3) = 0, so x = -2 or x = -3.

  3. Simplify: (2x³)/(6x⁵)

    Answer: 1/(3x²)

    Divide coefficients (2/6 = 1/3) and subtract exponents: x^(3-5) = x⁻² = 1/x².

  4. A car travels 240 miles in 4 hours. At the same rate, how far will it travel in 7 hours?

    Answer: 420 miles

    Speed = 240/4 = 60 mph; distance in 7 hours = 60 × 7 = 420 miles.

  5. Which of the following is equivalent to log₂(8)?

    Answer: 3

    log₂(8) = log₂(2³) = 3.

  6. If the point (3, k) lies on the line y = -2x + 11, what is k?

    Answer: 5

    Substituting x = 3 gives y = -2(3) + 11 = -6 + 11 = 5.

  7. Solve for y in terms of x: 3x + 2y = 12

    Answer: y = (12 - 3x)/2

    2y = 12 - 3x, so y = (12 - 3x)/2.