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 :How To Find Length Of A Line

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

Possible Answers:

\dpi{100} 16

\dpi{100} 10

\dpi{100} 3

\dpi{100} 13

Correct answer:

\dpi{100} 16

Explanation:

\dpi{100} -3is\dpi{100} 3units to the left of zero on the number line.\dpi{100} 13is\dpi{100} 13units 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 :How To Find Length Of A Line

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 :How To Find Length Of A Line

The length ofisand the length ofis.

Screenshot_2015-03-29_at_2.20.22_pm

What is the length ofin terms ofand?

Possible Answers:

Correct answer:

Explanation:

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

Substitute:

Subtract y from both sides:

Simplify:

Example Question #4 :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:

Segmentsandmake up segment. Using the segment addition postulate, add the lengths ofandto find the length of.

Substituteand:

Example Question #5 :How To Find Length Of A Line

The length ofisand the length ofis.

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 substituteandforandand solve for.

Substitute:

Subtract y from both sides:

Simplify:

Example Question #6 :How To Find Length Of A Line

The length ofisand the length ofis.

Screenshot_2015-03-29_at_2.20.22_pm

What is the length of segmentin terms ofand?

Possible Answers:

Correct answer:

Explanation:

Segmentsandmake up segment. Using the segment addition postulate, add the lengths ofandto find the length of.

Substituteand:

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