2013 AMC 8 Problem 15
Attempt Problem 15 of the 2013 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
15.
If , , and , what is the product of , , and ?
Answer: B
Small hint:
Subtract the known number from each equation.
Big hint:
Identify , , and as familiar powers.
Video solution:
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Written solution:
Subtract the known number from each equation:
Therefore , , and . Their product is .
Thus, B is the correct answer.
Problem 15 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
- 1995 AMC 8
- 1996 AMC 8
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- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
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