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Mathematical Knowledge Principles Flashcards

7 cards from real AFOQT 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 Knowledge Principles flashcards as text

  1. What is the value of x if 2(x - 3) = 4x + 2?

    Answer: -4

    Expand to 2x - 6 = 4x + 2, giving -8 = 2x, so x = -4.

  2. A number increased by 40% becomes 70. What was the original number?

    Answer: 50

    If 1.4 times the number is 70, then the number is 70/1.4 = 50.

  3. What is the product of (x + 2)(x + 5)?

    Answer: x² + 7x + 10

    Using FOIL gives x² + 5x + 2x + 10 = x² + 7x + 10.

  4. What is the median of the set {3, 8, 5, 12, 7}?

    Answer: 7

    Ordered, the set is 3, 5, 7, 8, 12 and the middle value is 7.

  5. If a car travels 150 miles in 3 hours, what is its average speed?

    Answer: 50 mph

    Speed equals distance divided by time, so 150/3 = 50 mph.

  6. What is the value of |−6| + |4|?

    Answer: 10

    Absolute values are 6 and 4, and 6 + 4 = 10.

  7. Solve for x: x² = 49.

    Answer: ±7

    Both 7 and -7 squared equal 49, so x = ±7.