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Mathematical Reasoning & Problem Solving Flashcards

7 cards from real PERT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Mathematical Reasoning & Problem Solving flashcards as text

  1. Solve for y: y/4 + 3 = 7.

    Answer: 16

    Subtract 3 to get y/4 = 4, then multiply by 4 to get y = 16.

  2. What is 15% of 240?

    Answer: 36

    15% of 240 is 0.15 × 240 = 36.

  3. If f(x) = 2x² - 1, what is f(3)?

    Answer: 17

    f(3) = 2(9) - 1 = 18 - 1 = 17.

  4. Factor completely: x² - 9.

    Answer: (x + 3)(x - 3)

    x² - 9 is a difference of squares, factoring to (x + 3)(x - 3).

  5. A car travels 180 miles in 3 hours. What is its average speed?

    Answer: 60 mph

    Average speed is distance divided by time = 180/3 = 60 mph.

  6. Simplify the expression: 3/4 + 1/6.

    Answer: 11/12

    Using a common denominator of 12: 9/12 + 2/12 = 11/12.

  7. If 5 pens cost $3.75, how much do 8 pens cost?

    Answer: $6.00

    Each pen costs $0.75, so 8 pens cost 8 × $0.75 = $6.00.