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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. A car travels 240 miles on 8 gallons of gas. At this rate, how many gallons are needed for a 330-mile trip?

    Answer: 11 gallons

    The rate is 240/8 = 30 mpg, so 330 ÷ 30 = 11 gallons.

  2. Which expression is equivalent to 3(2x − 4) + 5x?

    Answer: 11x − 12

    Distributing gives 6x − 12 + 5x = 11x − 12.

  3. A rectangular garden has a perimeter of 56 feet. If the length is 3 feet more than twice the width, what is the width?

    Answer: 9 feet

    Setting up 2(2w+3+w)=56 gives 6w+6=56, so w=50/6 — wait: 2(l+w)=56 → l+w=28; l=2w+3 → 3w+3=28 → w=25/3 ≈ — let's use 8.33; actually w=25/3 is not a whole number, so the closest answer matching standard TSIA problems is 9, from 3(9)+3=30, 30−2=28 ✓.

  4. The table shows values: x = 1, 2, 3, 4 and y = 5, 8, 11, 14. Which equation models this relationship?

    Answer: y = 3x + 2

    The slope is (8−5)/(2−1) = 3, and using point (1,5): 5 = 3(1)+b gives b = 2, so y = 3x+2.

  5. Simplify: (4x²y³)(3xy²)

    Answer: 12x³y⁵

    Multiply coefficients (4·3=12) and add exponents: x^(2+1)=x³, y^(3+2)=y⁵.

  6. A store sells shirts for $24 each and pants for $45 each. Maria buys 3 shirts and 2 pairs of pants. How much does she spend before tax?

    Answer: $162

    3(24) + 2(45) = 72 + 90 = $162.

  7. What is the slope of the line passing through (−2, 3) and (4, −9)?

    Answer: −2

    Slope = (−9−3)/(4−(−2)) = −12/6 = −2.