2020 AMC 10A Problems/Problem 3
Contents
[hide]Problem
Assuming , , and , what is the value in simplest form of the following expression?
Solution 1 (Negatives)
If then We use this fact to simplify the original expression: ~CoolJupiter ~MRENTHUSIASM
Solution 2 (Answer Choices)
At the answer choices become
and the original expression becomes ~MRENTHUSIASM
Solution 3 (Fastest)
We can simply set and . Now, the problem simplifies to
Explanation: After substituting , , and , the opposites (for example and ) can just be written as the negative of each. With the same example, this can be shown by: .
~GREATEST
Video Solution 1
~IceMatrix
Video Solution 2
Education, The Study of Everything
Video Solution 3
https://www.youtube.com/watch?v=7-3sl1pSojc
~bobthefam
Video Solution 4
~savannahsolver
Video Solution 5
https://youtu.be/ba6w1OhXqOQ?t=956
~ pi_is_3.14
See Also
2020 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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 |
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