If PR = 4x - 2 and RS = 3x - 5, which expression represents PS?
x - 7, x - 3, 7x - 7, 7x + 3

Solution:

Let the total length of the line segment be PS, which is divided in two parts with point R.

By adding the two parts, we will be able to find the expression which represents the total length of the line.

Step1: PR + RS = PS

⇒ (4x - 2) + (3x - 5) 

Step 2: Add like terms

= 4x + 3x - 2 - 5

= 7x - 7

7. If PR = 4x - 2 and RS = 3x - 5, which expression represents PS?
x - 7, x - 3, 7x - 7, 7x + 3

Summary:

The expression which represents the total length of the line segment PS is 7x - 7.