2023 AMC 8 Problems/Problem 1

Problem

What is the value of $(8 \times 4 + 2) - (8 + 4 \times 2)$ ?

$\textbf{(A)}\ 0 \qquad \textbf{(B)}\ 6 \qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 18 \qquad \textbf{(E)}\ 24$

Solution 1

By the order of operations, we have $(8 \times 4 + 2) - (8 + 4 \times 2) = (32+2) - (8+8) = 34 - 16 = \boxed{\textbf{(D)}\ 18}.$ ~apex304, TaeKim, peelybonehead, MRENTHUSIASM

Solution 2

We can simplify the expression above in another way: $(8 \times 4 + 2) - (8 + 4 \times 2)=8\times4+2-8-4\times2=32+2-8-8=34-16=\boxed{\textbf{(D)}\ 18}.$ $

~MathFun1000

Video Solution by Magic Square

https://youtu.be/-N46BeEKaCQ?t=5746

Video Solution by SpreadTheMathLove

https://www.youtube.com/watch?v=EcrktBc8zrM

2023 AMC 8 (Problems • Answer Key • Resources)
Preceded by First Problem	Followed by Problem 2
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All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

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