Difference between revisions of "2021 AMC 10A Problems/Problem 1"
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==Solution 3 (overkill, just for fun)== | ==Solution 3 (overkill, just for fun)== | ||
− | <math>(2^2-2)-(3^2-3)+(4^2-4) = 2^2+4^2-3^2-2+3-4 = 2^2+(4-3)(4+3)-3=2^2+7-3=2^2+4=4\cdot 2 = \text{(D) }8</math> | + | <math>(2^2-2)-(3^2-3)+(4^2-4) \\= 2^2+4^2-3^2-2+3-4 \\= 2^2+(4-3)(4+3)-3\\=2^2+7-3=2^2+4\\=4\cdot 2 \\= \boxed{\text{(D) }8}</math> |
==Video Solution 1 (Lightening Fast)== | ==Video Solution 1 (Lightening Fast)== |
Revision as of 21:12, 8 August 2021
Contents
- 1 Problem
- 2 Solution 1
- 3 Solution 2
- 4 Solution 3 (overkill, just for fun)
- 5 Video Solution 1 (Lightening Fast)
- 6 Video Solution 2
- 7 Video Solution 3 (Very Very Quick Computation)
- 8 Video Solution 4 (Quick Computation)
- 9 Video Solution 5 (Arithmetic Computation)
- 10 Video Solution 6
- 11 Video Solution 7
- 12 Video Solution 8 (Problems 1-3)
- 13 Video Solution 9
- 14 See Also
Problem
What is the value of
Solution 1
This corresponds to
-happykeeper
Solution 2
We have
~MRENTHUSIASM
Solution 3 (overkill, just for fun)
Video Solution 1 (Lightening Fast)
~ Education, the Study of everything
Video Solution 2
Video Solution 3 (Very Very Quick Computation)
https://www.youtube.com/watch?v=m0_UMI2mnZs&list=PLexHyfQ8DMuKqltG3cHT7Di4jhVl6L4YJ&index=2 ~North America Mathematic Contest Go Go Go
Video Solution 4 (Quick Computation)
https://youtu.be/C3n2hgBhyXc?t=37 ~ThePuzzlr
Video Solution 5 (Arithmetic Computation)
~ pi_is_3.14
Video Solution 6
~savannahsolver
Video Solution 7
~IceMatrix
Video Solution 8 (Problems 1-3)
~MathWithPi
Video Solution 9
~TheLearningRoyal
See Also
2021 AMC 10A (Problems • Answer Key • Resources) | ||
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 AMC 10 Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.