Question

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

x – 7
x – 3
7x – 7
7x + 3

Answer 1

ps = ps + rs

PR = 4x – 2

RS = 3x – 5

7x - 7

Answer 2

For this case we have that the PS segment is given by the sum of the PR and RS segments. That is to say:

`PS = PR + RS`

Where:

`PR = 4x-2\\RS = 3x-5`

Adding we have:

`PS = 4x-2 + (3x-5)\\PS = 4x-2 + 3x-5\\PS = 4x + 3x-2-5`

The same signs add up and the same sign is placed.

`PS = 7x-7`

Answer:

`PS = 7x-7`

Option C