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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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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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:

$\dpi{100} 13$

$\dpi{100} 10$

$\dpi{100} 16$

$\dpi{100} 3$

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 $\dpi{100} 13+ 3=16$ .

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Example Question #2 : Lines

If the radius of a circle is equal to $\frac{1}{4}x$ , then what is the value of the diameter?

Possible Answers:

$\frac{1}{4}x$

$\frac{1}{2}x$

Correct answer:

$\frac{1}{2}x$

Explanation:

The length of a dimater is twice the length of the radius. Given that the length of the radius is $\frac{1}{4}x$ , the dimater will be equal to $\frac{1}{4}x\cdot2=\frac{2}{4}x=\frac{1}{2}x$ .

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

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:

x^2

x+y

y-x

x-y

y+x

Correct answer:

x-y

Explanation:

Using the segment addition postulate, we know that AC+CD=AD . We can substitute and for and and solve for .

Substitute: y+CD=x

Subtract y from both sides:

Simplify: CD=x-y

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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:

x-y

y-x

x+x+y+y

x+y

$x\cdot y$

Correct answer:

x+y

Explanation:

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

BC+CE=BE

Substitute and : x+y=BE

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Example Question #2 : 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:

y-x

x-y

$x\cdot y$

$2\cdot x$

x+y

Correct answer:

y-x

Explanation:

Using the segment addition postulate, we know that AD+DE=AE . We can substitute and for and and solve for .

Substitute: x+DE=y

Subtract y from both sides:

Simplify: DE=y-x

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Example Question #521 : Plane Geometry

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:

$2\cdot y$

$x\cdot y$

y-x

x+y

x-y

Correct answer:

x+y

Explanation:

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

AB+BD=AD

Substitute and : x+y=AD

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

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

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

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #1 : Lines

Example Question #2 : Lines

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

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

Example Question #2 : Lines

Example Question #521 : Plane Geometry

All ISEE Lower Level Quantitative Resources

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