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

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~Education the Study of everything
 
~Education the Study of everything
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==Video Solution by WhyMath==
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https://youtu.be/macEkeMMM_w
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~savannahsolver
  
 
==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 10:04, 24 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

(Creative Thinking) Video Solution

https://youtu.be/n2tl50HMkDw

~Education the Study of everything

Video Solution by WhyMath

https://youtu.be/macEkeMMM_w

~savannahsolver

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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