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

  1. Factor completely: x² − 5x − 14

    Answer: (x+2)(x−7)

    Find two numbers that multiply to −14 and add to −5: those are +2 and −7, giving (x+2)(x−7).

  2. What is the y-intercept of the line 3x − 4y = 12?

    Answer: −3

    Set x=0: −4y=12 → y=−3.

  3. Simplify: (x² − 9)/(x − 3)

    Answer: x + 3

    x²−9=(x+3)(x−3); dividing by (x−3) leaves (x+3), provided x≠3.

  4. A 30-60-90 triangle has a hypotenuse of 10. What is the length of the shorter leg?

    Answer: 5

    In a 30-60-90 triangle, the shorter leg is half the hypotenuse: 10/2=5.

  5. What is the degree of the polynomial 4x⁵ − 3x² + 7x − 1?

    Answer: 5

    The degree is the highest exponent, which is 5.

  6. Solve the inequality: −3x > 12

    Answer: x < −4

    Dividing by −3 reverses the inequality: x < −4.

  7. The sum of three consecutive integers is 87. What is the largest integer?

    Answer: 30

    Let them be n, n+1, n+2; 3n+3=87 → n=28, so the largest is 30.