Worksheet: Solving Equations to Find the Length of a Line Segment

In this worksheet, we will practice finding the length of a line segment by constructing a multistep linear equation and solving it.

Q1:

Find the length of .

Q2:

is the midpoint of , where and . Find and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q3:

Find the value of given .

Q4:

Point is on the line between and . If , , and , what is the length of ?

Q5:

If divides by the ratio externally, find and .

• A ,
• B ,
• C ,
• D ,

Q6:

If divides by a ratio of internally, find and .

• A ,
• B ,
• C ,
• D ,

Q7:

Given that the points are evenly spaced along the line, find the length of .

Q8:

Given that the points are evenly spaced along the line, find the length of .

Q9:

In the following figure, points , , , , and are collinear. If , , and , find the length of .

Q10:

Suppose is the midpoint of . Given that and , find the value of .

Q11:

Find the length of .

Q12:

Find the length of .

Q13:

Find the length of .

Q14:

Find the length of .

Q15:

Find the length of .

Q16:

Find the length of .

Q17:

Find the length of .

Q18:

Find the length of .

Q19:

Find the length of .