ISEE Lower Level Quantitative : How to find length of a line

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #1 : Lines

On a number line, what is the length of a line that stretches from \dpi{100} -3 to \dpi{100} 13?

Possible Answers:

\dpi{100} 16

\dpi{100} 3

\dpi{100} 10

\dpi{100} 13

Correct answer:

\dpi{100} 16

Explanation:

\dpi{100} -3 is \dpi{100} 3 units to the left of zero on the number line.  \dpi{100} 13 is \dpi{100} 13 units to the right of zero on the number line.

The length of the line would then be \dpi{100} 13+ 3=16.

Example Question #2 : Lines

If the radius of a circle is equal to , then what is the value of the diameter?

Possible Answers:

Correct answer:

Explanation:

The length of a dimater is twice the length of the radius. Given that the length of the radius is , the dimater will be equal to .

Example Question #3 : Lines

The length of  is  and the length of  is .

 

Screenshot_2015-03-29_at_2.20.22_pm

What is the length of  in terms of  and ?

Possible Answers:

Correct answer:

Explanation:

Using the segment addition postulate, we know that .  We can substitute  and  for  and  and solve for .

 

Substitute:                          

Subtract y from both sides:              

Simplify:                              

Example Question #1 : How To Find Length Of A Line

The length of BC is x and the length of CE is y.

Screenshot_2015-03-29_at_2.20.22_pm

What is the length of segment ?

Possible Answers:

Correct answer:

Explanation:

Segments  and  make up segment .  Using the segment addition postulate, add the lengths of  and  to find the length of .

Substitute  and :  

Example Question #5 : Lines

The length of  is  and the length of  is .

 

Screenshot_2015-03-29_at_2.20.22_pm

What is the length of segment ?

Possible Answers:

Correct answer:

Explanation:

Using the segment addition postulate, we know that .  We can substitute  and  for  and  and solve for .

 

Substitute:                          

Subtract y from both sides:                    

Simplify:                              

Example Question #6 : Lines

The length of  is  and the length of  is .

Screenshot_2015-03-29_at_2.20.22_pm

What is the length of segment  in terms of  and ?

Possible Answers:

Correct answer:

Explanation:

Segments  and  make up segment . Using the segment addition postulate, add the lengths of  and  to find the length of .

Substitute  and :

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