Difference between revisions of "2023 AMC 8 Problems/Problem 1"

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==Problem 1==
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==Problem==
  
 
What is the value of <math>(8 \times 4 + 2) - (8 + 4 \times 2)</math>?
 
What is the value of <math>(8 \times 4 + 2) - (8 + 4 \times 2)</math>?
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<math>\textbf{(A)}\ 0 \qquad \textbf{(B)}\ 6 \qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 18 \qquad \textbf{(E)}\ 24</math>
 
<math>\textbf{(A)}\ 0 \qquad \textbf{(B)}\ 6 \qquad \textbf{(C)}\ 10 \qquad \textbf{(D)}\ 18 \qquad \textbf{(E)}\ 24</math>
  
==Solution (PEMDAS)==  
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==Solution==  
  
 
By the order of operations, we have <cmath>(8 \cdot 4 + 2) - (8 + 4 \cdot 2) = (32+2) - (8+8) = 34 - 16 = \boxed{\textbf{(D)}\ 18}.</cmath>
 
By the order of operations, we have <cmath>(8 \cdot 4 + 2) - (8 + 4 \cdot 2) = (32+2) - (8+8) = 34 - 16 = \boxed{\textbf{(D)}\ 18}.</cmath>
~apex304, TaeKim, peelybonehead, MRENTHUSIASM, mayowl
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~apex304, TaeKim, peelybonehead, MRENTHUSIASM
  
 
==Video Solution by Magic Square==
 
==Video Solution by Magic Square==

Revision as of 15:03, 25 January 2023

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

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

Video Solution by Magic Square

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

See Also

2023 AMC 8 (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
All AJHSME/AMC 8 Problems and Solutions

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