algebra
Rational equation — AMC & AIME Problems
61 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Rational equation — a algebra concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
LIVE focuses on challenge. As a social enterprise, we also explain standard school concepts one at a time, for free, on our sister site Expii. For this idea: Solving Rational Equations, in Depth, Intro to Rational Expressions, and Simplifying.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
AMC 12
- 1950 AMC 12 Problem 29
- 1951 AMC 12 Problem 26
- 1952 AMC 12 Problem 9
- 1952 AMC 12 Problem 11
- 1952 AMC 12 Problem 18
- 1952 AMC 12 Problem 23
- 1953 AMC 12 Problem 8
- 1954 AMC 12 Problem 2
- 1955 AMC 12 Problem 4
- 1956 AMC 12 Problem 15
- 1956 AMC 12 Problem 46
- 1957 AMC 12 Problem 3
- 1957 AMC 12 Problem 22
- 1957 AMC 12 Problem 27
- 1957 AMC 12 Problem 45
- 1958 AMC 12 Problem 2
- 1958 AMC 12 Problem 3
- 1958 AMC 12 Problem 4
- 1958 AMC 12 Problem 30
- 1959 AMC 12 Problem 16
- 1959 AMC 12 Problem 24
- 1960 AMC 12 Problem 28
- 1961 AMC 12 Problem 37
- 1962 AMC 12 Problem 24
- 1963 AMC 12 Problem 3
- 1964 AMC 12 Problem 32
- 1966 AMC 12 Problem 5
- 1966 AMC 12 Problem 27
- 1966 AMC 12 Problem 33
- 1966 AMC 12 Problem 34
- 1966 AMC 12 Problem 37
- 1967 AMC 12 Problem 8
- 1967 AMC 12 Problem 10
- 1967 AMC 12 Problem 14
- 1968 AMC 12 Problem 14
- 1968 AMC 12 Problem 16
- 1968 AMC 12 Problem 23
- 1969 AMC 12 Problem 1
- 1969 AMC 12 Problem 5
- 1970 AMC 12 Problem 3
- 1973 AMC 12 Problem 14
- 1974 AMC 12 Problem 1
- 1976 AMC 12 Problem 1
- 1980 AMC 12 Problem 8
- 1980 AMC 12 Problem 14
- 1981 AMC 12 Problem 6
- 1983 AMC 12 Problem 8
- 1983 AMC 12 Problem 20
- 1989 AMC 12 Problem 10
- 2002 AMC 12A Problem 13
- 2010 AMC 12B Problem 24
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