Practice Test Geeks(CLT) Classical Learning Test Practice Test
← All CLT Flashcard Decks

Math Flashcards

7 cards from real CLT 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 flashcards as text

  1. What is the domain of f(x) = √(x - 3)?

    Answer: x ≥ 3

    The radicand must be non-negative: x - 3 ≥ 0, so x ≥ 3.

  2. The graph of y = -2x² + 4 opens in which direction and has its vertex at:

    Answer: Downward; (0, 4)

    The negative leading coefficient means it opens downward, and the vertex is at (0, 4).

  3. Simplify: (x³ · x⁵) / x⁴

    Answer: x⁴

    x³ · x⁵ = x⁸; x⁸ / x⁴ = x⁴.

  4. If log₂(x) = 5, what is x?

    Answer: 32

    log₂(x) = 5 means 2⁵ = x, so x = 32.

  5. Which equation represents a line perpendicular to y = 3x - 2?

    Answer: y = -(1/3)x + 7

    Perpendicular slopes are negative reciprocals; the reciprocal of 3 is -1/3.

  6. A function is defined as g(x) = (x + 2)/(x - 1). For which value of x is g(x) undefined?

    Answer: x = 1

    The function is undefined when the denominator equals zero: x - 1 = 0, so x = 1.

  7. The arithmetic mean of five numbers is 14. If four of the numbers are 10, 12, 16, and 18, what is the fifth?

    Answer: 14

    Total sum = 5 × 14 = 70; fifth number = 70 - (10 + 12 + 16 + 18) = 70 - 56 = 14.