MPT Standards 2

Question 1

Which expression is equivalent to (x² - 9) / (x - 3)?

Accepted Answer

x + 3

Answer

x² - 9 factors as (x+3)(x-3), so dividing by (x-3) leaves x+3.

Question 2

What is the slope of the line passing through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13-5)/(6-2) = 8/4 = 2.

Question 3

Solve for x: 2x² - 8 = 0

Accepted Answer

x = ±2

Answer

2x² = 8 → x² = 4 → x = ±2.

Question 4

Which of the following is the correct domain of f(x) = 1/(x² - 4)?

Accepted Answer

All real x except x = ±2

Answer

The denominator x² - 4 = 0 when x = ±2, so those values are excluded.

Question 5

What is the value of log₂(32)?

Accepted Answer

5

Answer

2⁵ = 32, so log₂(32) = 5.

(MPT) UCF Math Placement Test Practice Test