Art of Problem Solving

2000 CEMC Gauss (Grade 8) Problems/Problem 8: Difference between revisions

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{{CEMC box|year=2000|competition=Gauss (Grade 8)|num-b=7|num-a=9}}

Latest revision as of 12:45, 20 October 2025

Problem

If $x \ast y = x + y^{2}$, then $2 \ast 3$ equals

$\text{ (A) }\ 8 \qquad\text{ (B) }\ 25 \qquad\text{ (C) }\ 11 \qquad\text{ (D) }\ 13 \qquad\text{ (E) }\ 7$

Solution

We can simply plug in $2$ and $3$ into $x + y^{2}$:

$2 \ast 3 = 2 + 3^{2} = \boxed {\textbf {(C) } 11}$

~anabel.disher

2000 CEMC Gauss (Grade 8) (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
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
CEMC Gauss (Grade 8)