Difference between revisions of "1956 AHSME Problems/Problem 1"

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==1956 AHSME Problem #1==
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==Problem #1==
  
 
The value of <math>x + x(x^x)</math> when <math>x = 2</math> is:  
 
The value of <math>x + x(x^x)</math> when <math>x = 2</math> is:  
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<math>\textbf{(A)}\ 10 \qquad\textbf{(B)}\ 16 \qquad\textbf{(C)}\ 18 \qquad\textbf{(D)}\ 36 \qquad\textbf{(E)}\ 64 </math>
 
<math>\textbf{(A)}\ 10 \qquad\textbf{(B)}\ 16 \qquad\textbf{(C)}\ 18 \qquad\textbf{(D)}\ 36 \qquad\textbf{(E)}\ 64 </math>
 
  
 
== Solution ==
 
== Solution ==
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==See Also==
 
==See Also==
  
{{AHSME box|year=1956|before=1956 AHSME|num-a=2}}
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{{AHSME 50p box|year=1956|before=First Problem|num-a=2}}
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{{MAA Notice}}
 
{{MAA Notice}}

Latest revision as of 16:54, 14 March 2023

Problem #1

The value of $x + x(x^x)$ when $x = 2$ is:


$\textbf{(A)}\ 10 \qquad\textbf{(B)}\ 16 \qquad\textbf{(C)}\ 18 \qquad\textbf{(D)}\ 36 \qquad\textbf{(E)}\ 64$

Solution

Simple substitution yields \[2 + 2(2^2) = 2 + 2(4) = 10\]

Therefore, the answer is $\fbox{(A) 10}$


See Also

1956 AHSC (ProblemsAnswer KeyResources)
Preceded by
First Problem
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 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
All AHSME Problems and Solutions


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