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

(Video Solution by Interstigation)
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https://www.youtube.com/watch?v=EcrktBc8zrM
 
https://www.youtube.com/watch?v=EcrktBc8zrM
 
==Video Solution by Interstigation==
 
==Video Solution by Interstigation==
https://www.youtube.com/watch?v=1bA7fD7Lg54?t=32s
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https://youtu.be/1bA7fD7Lg54?t=32
  
 
==See Also==
 
==See Also==
 
{{AMC8 box|year=2023|before=First Problem|num-a=2}}
 
{{AMC8 box|year=2023|before=First Problem|num-a=2}}
 
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{{MAA Notice}}

Revision as of 21:36, 16 February 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 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

Video Solution by Interstigation

https://youtu.be/1bA7fD7Lg54?t=32

See Also

2023 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
First Problem
Followed by
Problem 2
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All AJHSME/AMC 8 Problems and Solutions

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