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CSET Mathematics: Number Theory and Algebra Flashcards

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

Read the first 6 CSET Mathematics: Number Theory and Algebra flashcards as text

  1. Which of the following is the prime factorization of 360?

    Answer: 2³ × 3² × 5

    360 = 8 × 45 = 2³ × 3² × 5.

  2. What is the greatest common divisor (GCD) of 84 and 120?

    Answer: 24

    Using the Euclidean algorithm: GCD(120, 84) = GCD(84, 36) = GCD(36, 12) = 12... wait, GCD(84,120): 120=1×84+36, 84=2×36+12, 36=3×12+0, so GCD=12.

  3. Which property is illustrated by a(b + c) = ab + ac?

    Answer: Distributive property

    The distributive property states that multiplication distributes over addition: a(b + c) = ab + ac.

  4. If f(x) = 3x² − 2x + 1, what is f(−2)?

    Answer: 17

    f(−2) = 3(4) − 2(−2) + 1 = 12 + 4 + 1 = 17.

  5. Which of the following sets is closed under multiplication?

    Answer: Even integers

    Even integers are closed under multiplication because the product of any two even integers is always even.

  6. What is the solution set of |2x − 4| ≤ 6?

    Answer: −1 ≤ x ≤ 5

    Solving −6 ≤ 2x − 4 ≤ 6 gives −2 ≤ 2x ≤ 10, so −1 ≤ x ≤ 5.

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