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HS Math Flashcards

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

Read the first 6 HS Math flashcards as text
  1. What is the domain of the function f(x) = 1 divided by (x - 4)?

    Answer: All real numbers except x = 4

    The function is undefined when the denominator equals zero: x - 4 = 0, so x = 4. The domain is all real numbers except x = 4.

  2. Which of the following is equivalent to log base 2 of 32?

    Answer: 5

    log base 2 of 32 asks: 2 to what power equals 32? Since 2^5 = 32, the answer is 5.

  3. A data set has a mean of 50 and a standard deviation of 5. Assuming a normal distribution, approximately what percentage of data falls between 45 and 55?

    Answer: 68%

    By the Empirical Rule, approximately 68% of data falls within one standard deviation of the mean in a normal distribution.

  4. If sin of angle theta equals 3/5 and theta is in the first quadrant, what is cos of theta?

    Answer: 4/5

    Using the Pythagorean identity: cos^2(theta) = 1 - sin^2(theta) = 1 - 9/25 = 16/25. cos(theta) = 4/5 (positive in Quadrant 1).

  5. What is the sum of the arithmetic sequence 3, 7, 11, 15, ... up to 10 terms?

    Answer: 210

    First term a1=3, common difference d=4, n=10. The 10th term is 3+(9)(4)=39. Sum = 10/2 times (3+39) = 5 times 42 = 210.

  6. Which of the following is the correct factored form of 6x squared + 7x - 3?

    Answer: (2x + 3)(3x - 1)

    (2x+3)(3x-1) = 6x^2 - 2x + 9x - 3 = 6x^2 + 7x - 3.