If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
A line with the following points labeled left to right: P, Q, R, S.
x – 7
x – 3
7x – 7
7x + 3
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.
To find the expression that represents PS, we need to add up the lengths of PR and RS.
The length of PR is given as 4x - 2, and the length of RS is given as 3x - 5.
To find PS, we add these two lengths together:
PS = PR + RS
Substituting the given expressions for PR and RS:
PS = (4x - 2) + (3x - 5)
Now, we combine the like terms:
PS = 4x + 3x - 2 - 5
Simplifying further:
PS = 7x - 7
Therefore, the expression that represents PS is 7x - 7.