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

Latest revision as of 15:54, 14 March 2023

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

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

Simple substitution yields $2 + 2(2^2) = 2 + 2(4) = 10$

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

1956 AHSC (Problems • Answer Key • Resources)
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

@@ Line 1: / Line 1: @@
-==1956 AHSME Problem #1==
+==Problem #1==
 The value of <math>x + x(x^x)</math> when <math>x = 2</math> is:
-<math>(A) 10</math>  <math>(B) 16</math> <math>(C) 18</math> <math>(D) 36</math> <math>(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 ==
+Simple substitution yields
+<cmath>2 + 2(2^2) = 2 + 2(4) = 10</cmath>
+Therefore, the answer is <math>\fbox{(A) 10}</math>
+==See Also==
+{{AHSME 50p box|year=1956|before=First Problem|num-a=2}}
+{{MAA Notice}}