PERT Algebraic Concepts & Applications 2

Question 1

Solve for x: 3x - 7 = 2x + 5.

Accepted Answer

x = 12

Answer

Subtract 2x from both sides to get x - 7 = 5, then add 7 to get x = 12.

Question 2

Simplify: 4(2x - 3) + 5x.

Accepted Answer

13x - 12

Answer

Distribute to get 8x - 12, then add 5x to get 13x - 12.

Question 3

If f(x) = 2x² - 3x + 1, what is f(-2)?

Accepted Answer

15

Answer

f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

Question 4

Factor completely: x² - 9.

Accepted Answer

(x - 3)(x + 3)

Answer

This is a difference of squares, which factors as (x - 3)(x + 3).

Question 5

What is the slope of the line passing through (1, 2) and (4, 11)?

Accepted Answer

3

Answer

Slope = (11 - 2)/(4 - 1) = 9/3 = 3.

PERT Practice Test