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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. If 3x - 7 = 2x + 5, what is the value of x?

    Answer: 12

    Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

  2. A store marks up an item that costs $40 by 25%. What is the selling price?

    Answer: $50

    25% of $40 is $10, so the selling price is $40 + $10 = $50.

  3. What is the slope of the line passing through points (2, 3) and (6, 11)?

    Answer: 2

    Slope equals (11 - 3)/(6 - 2) = 8/4 = 2.

  4. Simplify: 2(3x + 4) - 5x.

    Answer: x + 8

    Distribute to get 6x + 8 - 5x, which simplifies to x + 8.

  5. If a recipe needs 2 cups of flour for 12 cookies, how much flour is needed for 30 cookies?

    Answer: 5 cups

    The ratio is 2/12 = x/30, so x = 60/12 = 5 cups.

  6. What is the value of (-3)^2 + 4 × 2?

    Answer: 17

    (-3)^2 = 9 and 4 × 2 = 8, so 9 + 8 = 17.

  7. A rectangle has length 8 cm and width 5 cm. What is its area?

    Answer: 40 cm²

    Area of a rectangle is length × width = 8 × 5 = 40 cm².