Art of Problem Solving
During AMC 10A/12A testing, the AoPS Wiki is in read-only mode and no edits can be made.

2023 AMC 8 Problems/Problem 1: Difference between revisions

No edit summary
MRENTHUSIASM (talk | contribs)
No edit summary
Line 1: Line 1:
==Problem 1==
==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>?
Line 5: Line 5:
<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)==  
==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
~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

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: Unable to save thumbnail to destination