PERT Algebraic Concepts & Applications 4

Question 1

Solve the system: x + y = 10 and x - y = 4.

Accepted Answer

x = 7, y = 3

Answer

Adding the equations gives 2x = 14, so x = 7 and y = 3.

Question 2

Factor: x² + 7x + 12.

Accepted Answer

(x + 3)(x + 4)

Answer

Find two numbers that multiply to 12 and add to 7: 3 and 4.

Question 3

A car rental costs $30 plus $0.20 per mile. Which expression gives the cost for m miles?

Accepted Answer

30 + 0.20m

Answer

The flat fee is $30 and the per-mile charge is 0.20m, totaling 30 + 0.20m.

Question 4

Simplify: 2(3x - 1) - (x + 4).

Accepted Answer

5x - 6

Answer

6x - 2 - x - 4 = 5x - 6.

Question 5

What is the y-intercept of the line y = -2x + 7?

Accepted Answer

7

Answer

In slope-intercept form y = mx + b, the y-intercept b is 7.

PERT Practice Test