2007 AMC 10B Problems/Problem 2: Difference between revisions
Created page with '==Problem 2== Define the operation <math>\star</math> by <math>a \star b = (a+b)b.</math> What is <math>(3 \star 5) - (5 \star 3)?</math> <math>\textbf{(A) } -16 \qquad\textbf{…' |
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==Problem | ==Problem== | ||
Define the operation <math>\star</math> by <math>a \star b = (a+b)b.</math> What is <math>(3 \star 5) - (5 \star 3)?</math> | Define the operation <math>\star</math> by <math>a \star b = (a+b)b.</math> What is <math>(3 \star 5) - (5 \star 3)?</math> | ||
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Substitute and simplify. | Substitute and simplify. | ||
<cmath>(3+5)5 - (5+3)3 = (3+5)2 = (8)2 = \boxed{\textbf{(E) }16}</cmath> | <cmath>(3+5)5 - (5+3)3 = (3+5)2 = (8)2 = \boxed{\textbf{(E) }16}</cmath> | ||
==See Also== | |||
{{AMC10 box|year=2007|ab=B|num-b=1|num-a=2}} | |||
Revision as of 15:38, 4 June 2011
Problem
Define the operation 
by 
What is 
Solution
Substitute and simplify.
![\[(3+5)5 - (5+3)3 = (3+5)2 = (8)2 = \boxed{\textbf{(E) }16}\]](http://latex.artofproblemsolving.com/1/2/6/126b27b43d8364fd141008df3e65dc050250f3fe.png)
See Also
| 2007 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 1 |
Followed by Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
