MPT Algebra 4

Question 1

Solve: |2x - 6| = 10

Accepted Answer

x = 8 or x = -2

Answer

2x - 6 = 10 gives x = 8; 2x - 6 = -10 gives x = -2.

Question 2

What are the roots of x² + 5x + 6 = 0?

Accepted Answer

x = -2 and x = -3

Answer

Factoring gives (x + 2)(x + 3) = 0, so x = -2 or x = -3.

Question 3

Simplify: (2x³)/(6x⁵)

Accepted Answer

1/(3x²)

Answer

Divide coefficients (2/6 = 1/3) and subtract exponents: x^(3-5) = x⁻² = 1/x².

Question 4

A car travels 240 miles in 4 hours. At the same rate, how far will it travel in 7 hours?

Accepted Answer

420 miles

Answer

Speed = 240/4 = 60 mph; distance in 7 hours = 60 × 7 = 420 miles.

Question 5

Which of the following is equivalent to log₂(8)?

Accepted Answer

3

Answer

log₂(8) = log₂(2³) = 3.

(MPT) UCF Math Placement Test Practice Test