COMPASS College Algebra and Trigonometry

Question 1

What is log₂(32)?

Accepted Answer

5

Answer

log₂(32) = 5 because 2⁵ = 32.

Question 2

Solve: e^x = 20 (round to the nearest hundredth)

Accepted Answer

2.996

Answer

Taking the natural log of both sides: x = ln(20) ≈ 2.996.

Question 3

Which of the following is the reciprocal of sin(θ)?

Accepted Answer

csc(θ)

Answer

The reciprocal of sine is cosecant: csc(θ) = 1/sin(θ).

Question 4

What is sin(30°)?

Accepted Answer

1/2

Answer

sin(30°) = 1/2, a standard value from the unit circle.

Question 5

Find the inverse function of f(x) = 3x + 6

Accepted Answer

f⁻¹(x) = (x − 6)/3

Answer

Swap x and y, then solve: x = 3y + 6 → y = (x − 6)/3.

COMPASS Practice Test