Difference between revisions of "2016 AMC 10B Problems/Problem 1"
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Factorizing the numerator, <math>\frac{\frac{1}{a}\cdot(2+\frac{1}{2})}{a}</math> then becomes <math>\frac{\frac{5}{2}}{a^{2}}</math> which is equal to <math>\frac{5}{2}\cdot 2^2</math> which is <math>\boxed{\textbf{(D) }10}</math>. | Factorizing the numerator, <math>\frac{\frac{1}{a}\cdot(2+\frac{1}{2})}{a}</math> then becomes <math>\frac{\frac{5}{2}}{a^{2}}</math> which is equal to <math>\frac{5}{2}\cdot 2^2</math> which is <math>\boxed{\textbf{(D) }10}</math>. | ||
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+ | ==Solution 2== | ||
+ | Substituting <math>\frac{1}{2}</math> for <math>a</math> in <math>\frac{\frac{1}{a}\cdot(2+\frac{1}{2})}{a}</math> goves us <math>\boxed{\textbf{(D) }10}</math>. | ||
==Video Solution== | ==Video Solution== |
Revision as of 00:58, 14 October 2022
Problem
What is the value of when
?
Solution
Factorizing the numerator, then becomes
which is equal to
which is
.
Solution 2
Substituting for
in
goves us
.
Video Solution
~savannahsolver
See Also
2016 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by - |
Followed by Problem 2 | |
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All AMC 10 Problems and Solutions |
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