COMPASS Algebra 3

Question 1

What is the domain of f(x) = 1/(x − 4)?

Accepted Answer

All real numbers except x = 4

Answer

The denominator cannot equal zero, so x − 4 ≠ 0, meaning x ≠ 4.

Question 2

Which equation represents a line parallel to y = 2x + 1?

Accepted Answer

y = 2x − 5

Answer

Parallel lines have equal slopes; the original slope is 2, so y = 2x − 5 is parallel.

Question 3

Evaluate: 3⁻² as a fraction

Accepted Answer

1/9

Answer

A negative exponent means take the reciprocal: 3⁻² = 1/3² = 1/9.

Question 4

Solve: |2x − 3| = 7

Accepted Answer

x = 5 or x = −2

Answer

Set up two cases: 2x − 3 = 7 (x = 5) and 2x − 3 = −7 (x = −2).

Question 5

What is the vertex of the parabola y = (x − 3)² + 2?

Accepted Answer

(3, 2)

Answer

In vertex form y = (x − h)² + k, the vertex is (h, k) = (3, 2).

COMPASS Practice Test