Question

A line extends from point T to point R. Point S is between points T and R. The space between T and S is labeled 3 x minus 4. The space between T and R is labeled 4 x + 1.
Which expression represents the measure of segment RS?

7x – 3
7x + 5
x + 5
x – 3

Answer 1

Since S is between T and R, TR = TS + SR. So SR = TR − TS = (4x + 1) − (3x − 4) = 4x + 1 − 3x + 4 = x + 5.

Answer: x + 5.