Digital SAT Math Practice Flashcards

A line has equation 3x − 4y = 12. What is the y-intercept?

Answer: (0, −3)

Setting x = 0: −4y = 12, so y = −3; the y-intercept is (0, −3).

If h(x) = 2x + 5 and g(x) = x², what is h(g(3))?

Answer: 23

g(3) = 9; then h(9) = 2(9) + 5 = 23.

A rectangular room is 15 feet long and 12 feet wide. What is the area of the room?

Answer: 180 sq ft

Area = length × width = 15 × 12 = 180 square feet.

Which inequality is represented by the number line where all values less than or equal to −2 are shaded?

Answer: x ≤ −2

Shading at and to the left of −2 with a closed circle represents x ≤ −2.

The product of a number and 7 is 56. What is the number?

Answer: 8

7n = 56, so n = 8.

A researcher finds that a town's population can be modeled by P(t) = 3000(1.04)^t, where t is years since 2000. What does 1.04 represent?

Answer: The population grows by 4% per year.

In an exponential growth model P = P₀(1 + r)^t, the base 1.04 = 1 + 0.04 represents 4% annual growth.

If tan θ = 3/4 in a right triangle, what is sin θ?

Answer: 3/5

With opposite = 3, adjacent = 4, hypotenuse = √(9+16) = 5, so sin θ = 3/5.