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

Question

A line with the following points labeled left to right: P, Q, R, S.

x – 7
x – 3
7x – 7
7x + 3

Answer 1

The expression that represents PS is PR + RS.

Since PR = 4x – 2 and RS = 3x – 5, we can substitute these values into the expression to get:

PS = (4x – 2) + (3x – 5)

Combining like terms, we get:

PS = 7x – 7

Therefore, the expression that represents PS is 7x – 7.