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Math Practice Test (Gr11) Flashcards

7 cards from real CAASPP 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 Practice Test (Gr11) flashcards as text

  1. A right triangle has legs of length 7 and 24. What is the length of the hypotenuse?

    Answer: 25

    By the Pythagorean theorem: √(7² + 24²) = √(49 + 576) = √625 = 25.

  2. Which of the following is the inverse function of f(x) = (x - 3) / 2?

    Answer: f⁻¹(x) = 2x + 3

    Set y = (x-3)/2, swap x and y: x = (y-3)/2, solve for y: y = 2x + 3.

  3. A box contains 5 red and 3 blue marbles. Two are drawn without replacement. What is the probability both are red?

    Answer: 5/14

    P = (5/8) × (4/7) = 20/56 = 5/14.

  4. What is the domain of f(x) = √(2x - 8)?

    Answer: x ≥ 4

    The radicand must be non-negative: 2x - 8 ≥ 0 → x ≥ 4.

  5. A geometric sequence has first term 6 and common ratio 1/3. What is the sum of the infinite series?

    Answer: 9

    For an infinite geometric series with |r| < 1: S = a/(1-r) = 6/(1 - 1/3) = 6/(2/3) = 9.

  6. In the unit circle, what is the value of sin(210°)?

    Answer: -1/2

    210° is in the third quadrant; reference angle is 30°, and sine is negative there, so sin(210°) = -1/2.

  7. Which inequality represents the set of x values where the graph of y = x² - 4x - 5 is below the x-axis?

    Answer: -1 < x < 5

    Factor: (x-5)(x+1) < 0; the parabola is below the x-axis between its roots x = -1 and x = 5.