MPT Algebra 3

Question 1

Which value of x satisfies the system: x + y = 7 and 2x - y = 5?

Accepted Answer

4

Answer

Adding both equations gives 3x = 12, so x = 4.

Question 2

Simplify: (x² - 9)/(x + 3)

Accepted Answer

x - 3

Answer

x² - 9 = (x-3)(x+3), and dividing by (x+3) leaves (x - 3).

Question 3

An investment of $1,200 earns 5% simple interest per year. How much interest is earned in 3 years?

Accepted Answer

$180

Answer

Simple interest = P·r·t = 1200 × 0.05 × 3 = $180.

Question 4

What is the domain of f(x) = 1/(x - 5)?

Accepted Answer

All real numbers except x = 5

Answer

The function is undefined when the denominator equals zero, i.e., when x = 5.

Question 5

Expand and simplify: (x + 4)²

Accepted Answer

x² + 8x + 16

Answer

(x + 4)² = x² + 2(4)x + 4² = x² + 8x + 16.

(MPT) UCF Math Placement Test Practice Test