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 for x: 3(2x - 4) = 2(x + 6)

    Answer: x = 6

    Expanding gives 6x - 12 = 2x + 12, so 4x = 24 and x = 6.

  2. Which of the following is a factor of x² - 7x + 12?

    Answer: (x - 3)

    x² - 7x + 12 = (x - 3)(x - 4), so (x - 3) is a factor.

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

    Answer: 15

    f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

  4. What is the slope of the line passing through (1, 3) and (4, 9)?

    Answer: 2

    Slope = (9 - 3)/(4 - 1) = 6/3 = 2.

  5. Simplify: (3x²y)(4xy³)

    Answer: 12x³y⁴

    Multiply coefficients (3·4 = 12) and add exponents: x^(2+1) = x³ and y^(1+3) = y⁴.

  6. Solve the inequality: -4x + 2 > 10

    Answer: x < -2

    -4x > 8 gives x < -2 (inequality flips when dividing by a negative).

  7. What is the y-intercept of the line 5x - 2y = 10?

    Answer: -5

    Setting x = 0 gives -2y = 10, so y = -5.