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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 the inequality: 2x - 3 < 7.

    Answer: x < 5

    Add 3 to get 2x < 10, then divide by 2 to get x < 5.

  2. What is the mean of the data set 4, 8, 10, 14, 14?

    Answer: 10

    The sum is 50 and there are 5 values, so the mean is 50/5 = 10.

  3. If the radius of a circle is 7, what is its circumference? (Use π ≈ 22/7)

    Answer: 44

    Circumference is 2πr = 2 × (22/7) × 7 = 44.

  4. Expand: (x + 5)(x - 2).

    Answer: x² + 3x - 10

    Using FOIL: x² - 2x + 5x - 10 = x² + 3x - 10.

  5. A shirt originally priced at $50 is discounted 20%. What is the sale price?

    Answer: $40

    20% of $50 is $10, so the sale price is $50 - $10 = $40.

  6. What is the value of x in the proportion 3/x = 9/15?

    Answer: 5

    Cross-multiplying gives 9x = 45, so x = 5.

  7. Evaluate: √64 + √36.

    Answer: 14

    √64 = 8 and √36 = 6, so 8 + 6 = 14.

Mathematical Reasoning & Problem Solving Flashcards — PERT Study Cards with Answers