AMC algebra problems
Equations and systems, polynomials and factoring, sequences and series, inequalities, functions, logarithms and complex numbers. 977 problems across 40 concepts. 439 come from the AMC 10 and 538 from the AMC 12.
Picks a problem you have not seen, at about the difficulty you are handling.
Concepts in algebra
- System of equations119
- Linear equation114
- Arithmetic sequence76
- Quadratic73
- Algebraic manipulation72
- Inequality68
- Logarithm61
- Recursion57
- Vieta's Formulas57
- Factoring54
- Polynomial51
- Complex number49
- Geometric sequence44
- Summation43
- Absolute value42
- Substitution40
- Difference of squares34
- Floor and ceiling functions32
- Custom operation28
- Radical25
- Roots of unity24
- Slope24
- Function21
- Telescoping21
- Ages14
- Completing the square14
- Simon's Favorite Factoring Trick14
- Symmetry (algebra)14
- Binomial theorem9
- Functional equation9
- Fibonacci8
- Mixture7
- Rationalizing denominator7
- Sum and difference of cubes7
- AM-GM Inequality6
- Rational equation6
- Sum of first n squares5
- De Moivre's Theorem4
- Sum of first n odd numbers4
- Calculus3
60 most recent problems
Newest contests first. Every problem opens with its answer choices, hints and a worked solution.
- 2025 AMC 10A · Problem 1
- 2025 AMC 10A · Problem 2
- 2025 AMC 10A · Problem 4
- 2025 AMC 10A · Problem 7
- 2025 AMC 10A · Problem 9
- 2025 AMC 10A · Problem 11
- 2025 AMC 10A · Problem 13
- 2025 AMC 10A · Problem 15
- 2025 AMC 10A · Problem 18
- 2025 AMC 10A · Problem 19
- 2025 AMC 10A · Problem 20
- 2025 AMC 10A · Problem 24
- 2025 AMC 10B · Problem 1
- 2025 AMC 10B · Problem 3
- 2025 AMC 10B · Problem 6
- 2025 AMC 10B · Problem 7
- 2025 AMC 10B · Problem 9
- 2025 AMC 10B · Problem 10
- 2025 AMC 10B · Problem 15
- 2025 AMC 10B · Problem 17
- 2025 AMC 10B · Problem 18
- 2025 AMC 10B · Problem 20
- 2025 AMC 10B · Problem 24
- 2025 AMC 12A · Problem 1
- 2025 AMC 12A · Problem 2
- 2025 AMC 12A · Problem 3
- 2025 AMC 12A · Problem 5
- 2025 AMC 12A · Problem 7
- 2025 AMC 12A · Problem 9
- 2025 AMC 12A · Problem 10
- 2025 AMC 12A · Problem 11
- 2025 AMC 12A · Problem 12
- 2025 AMC 12A · Problem 17
- 2025 AMC 12A · Problem 18
- 2025 AMC 12A · Problem 19
- 2025 AMC 12A · Problem 21
- 2025 AMC 12A · Problem 22
- 2025 AMC 12A · Problem 23
- 2025 AMC 12A · Problem 25
- 2025 AMC 12B · Problem 1
- 2025 AMC 12B · Problem 2
- 2025 AMC 12B · Problem 3
- 2025 AMC 12B · Problem 4
- 2025 AMC 12B · Problem 7
- 2025 AMC 12B · Problem 8
- 2025 AMC 12B · Problem 14
- 2025 AMC 12B · Problem 20
- 2025 AMC 12B · Problem 22
- 2025 AMC 12B · Problem 24
- 2024 AMC 10A · Problem 2
- 2024 AMC 10A · Problem 4
- 2024 AMC 10A · Problem 10
- 2024 AMC 10A · Problem 11
- 2024 AMC 10A · Problem 13
- 2024 AMC 10A · Problem 15
- 2024 AMC 10A · Problem 17
- 2024 AMC 10A · Problem 19
- 2024 AMC 10A · Problem 21
- 2024 AMC 10A · Problem 23
- 2024 AMC 10B · Problem 3
Use Start algebra practice above to work through the remaining 917.