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2012 CEMC Gauss (Grade 8) Problems/Problem 9

Problem

When $x = 2$, the value of $3^{x} - x^{3}$ is

$\text{ (A) }\ -2 \qquad\text{ (B) }\ 0 \qquad\text{ (C) }\ 3 \qquad\text{ (D) }\ 1 \qquad\text{ (E) }\ 9$

Solution

Plugging in $x = 2$, we have:

$3^{x} - x^{3} = 3^2 - 2^3 = 9 - 8 = \boxed {\textbf {(D) } 1}$

~anabel.disher

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