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Math Concepts and Reasoning Flashcards

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

Read the first 7 Math Concepts and Reasoning flashcards as text

  1. A recipe uses 3/4 cup of sugar for every 2 cups of flour. How much sugar is needed for 6 cups of flour?

    Answer: 2 1/4 cups

    6 cups of flour is 3 times 2 cups, so multiply 3/4 by 3 to get 2 1/4 cups.

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

    Answer: 8x + 12

    Distribute the 4 to both terms: 4 times 2x is 8x and 4 times 3 is 12.

  3. What is the value of 3² + 4 × 2?

    Answer: 17

    Following order of operations, 3² = 9 and 4 × 2 = 8, so 9 + 8 = 17.

  4. A rectangle has a length of 12 cm and a width of 5 cm. What is its area?

    Answer: 60 cm²

    Area equals length times width, so 12 × 5 = 60 square centimeters.

  5. If a number is divisible by both 2 and 3, it must also be divisible by which number?

    Answer: 6

    A number divisible by both 2 and 3 is divisible by their product, 6.

  6. What is 0.6 written as a fraction in simplest form?

    Answer: 3/5

    0.6 equals 6/10, which simplifies to 3/5 by dividing both parts by 2.

  7. A line passes through the points (0, 2) and (3, 8). What is its slope?

    Answer: 2

    Slope equals the change in y over the change in x, so (8 − 2)/(3 − 0) = 6/3 = 2.