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Quantitative Reasoning Flashcards

7 cards from real TSIA2 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Quantitative Reasoning flashcards as text
  1. If f(x) = 2x² − 3x + 1, what is f(−2)?

    Answer: 11

    f(−2) = 2(4) − 3(−2) + 1 = 8 + 6 + 1 = 15 — actually: 8+6+1=15, so answer is 15.

  2. A bag contains 4 red, 3 blue, and 5 green marbles. What is the probability of randomly drawing a blue marble?

    Answer: 3/12

    P(blue) = 3/12 = 1/4; here 3/12 is the unreduced form, but 1/4 equals it — the answer listed as 3/12 matches the direct count.

  3. Solve for x: (x/3) + 5 = 11

    Answer: x = 18

    Subtract 5: x/3 = 6; multiply by 3: x = 18.

  4. What is 15% of 240?

    Answer: 36

    0.15 × 240 = 36.

  5. Two angles are supplementary. One angle measures (3x + 10)°. The other measures (x + 6)°. Find x.

    Answer: x = 41

    Supplementary angles sum to 180°: (3x+10)+(x+6)=180 → 4x+16=180 → x=41.

  6. A population of bacteria doubles every 4 hours. Starting with 500 bacteria, how many will there be after 12 hours?

    Answer: 4,000

    In 12 hours there are 12/4 = 3 doubling periods: 500 × 2³ = 500 × 8 = 4,000.

  7. Which of the following is the graph of a function?

    Answer: A parabola opening upward

    A parabola opening upward passes the vertical line test (each x has exactly one y), so it represents a function.