COMPASS College Algebra and Trigonometry 2

Question 1

If log(x) = 3, what is x?

Accepted Answer

1000

Answer

log₁₀(x) = 3 means 10³ = x = 1000.

Question 2

What is the value of tan(45°)?

Accepted Answer

1

Answer

tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.

Question 3

Which conic section is described by the equation x² + y² = 25?

Accepted Answer

Circle

Answer

An equation of the form x² + y² = r² represents a circle with radius r.

Question 4

Simplify: log(100) + log(10)

Accepted Answer

3

Answer

log(100) = 2 and log(10) = 1, so 2 + 1 = 3.

Question 5

What are the solutions to x² + 4x + 4 = 0?

Accepted Answer

x = −2 (double root)

Answer

x² + 4x + 4 = (x + 2)² = 0, so x = −2 is a repeated root.

COMPASS Practice Test