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Math Flashcards

7 cards from real ACT 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. If sin(θ) = 3/5 in a right triangle, what is cos(θ) (θ acute)?

    Answer: 4/5

    Using a 3-4-5 triangle, cosine is adjacent/hypotenuse = 4/5.

  2. What is the solution to the inequality 2x - 3 > 7?

    Answer: x > 5

    Add 3 to get 2x > 10, then divide by 2 to get x > 5.

  3. What is the distance between the points (1, 2) and (4, 6)?

    Answer: 5

    Distance = sqrt((4-1)^2 + (6-2)^2) = sqrt(9 + 16) = sqrt(25) = 5.

  4. Factor the expression x^2 - 9.

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

    This is a difference of squares: x^2 - 9 = (x - 3)(x + 3).

  5. If a car travels 180 miles in 3 hours, what is its average speed?

    Answer: 60 mph

    Speed = distance ÷ time = 180 ÷ 3 = 60 mph.

  6. What is the value of log base 2 of 8?

    Answer: 3

    Since 2^3 = 8, log base 2 of 8 = 3.

  7. The probability of rolling a 4 on a fair six-sided die is:

    Answer: 1/6

    There is one favorable outcome out of six equally likely outcomes, so 1/6.