2016 AMC 12B Problem 3
Attempt Problem 3 of the 2016 AMC 12B below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2016 AMC 12B solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
3.
Let What is the value of
Answer: D
Small hint:
and the innermost part is
Big hint:
Simplify outward: then then the outer absolute value, and finally
Solution:
Since The innermost expression is Then and the outer absolute value leaves Finally subtracting gives
Thus, the correct answer is D.
Problem 3 in other years
- 1950 AMC 12
- 1951 AMC 12
- 1952 AMC 12
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- 1954 AMC 12
- 1955 AMC 12
- 1956 AMC 12
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- 1958 AMC 12
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- 2002 AMC 12B
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- 2006 AMC 12A
- 2006 AMC 12B
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