AMC equations & systems problems
Linear equations, systems of equations, substitution and general algebraic manipulation.
423 problems in the archive use these ideas — 242 from the AMC 10 and 181 from the AMC 12.
Picks a problem you have not seen, at about the difficulty you are handling.
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 10B · Problem 7
- 2025 AMC 10B · Problem 9
- 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 7
- 2025 AMC 12B · Problem 4
- 2025 AMC 12B · Problem 8
- 2025 AMC 12B · Problem 20
- 2024 AMC 10A · Problem 2
- 2024 AMC 10A · Problem 11
- 2024 AMC 10A · Problem 21
- 2024 AMC 10A · Problem 23
- 2024 AMC 10B · Problem 3
- 2024 AMC 10B · Problem 9
- 2024 AMC 10B · Problem 13
- 2024 AMC 12A · Problem 2
- 2024 AMC 12A · Problem 5
- 2024 AMC 12A · Problem 14
- 2024 AMC 12A · Problem 17
- 2024 AMC 12B · Problem 3
- 2023 AMC 10A · Problem 2
- 2023 AMC 10A · Problem 8
- 2023 AMC 10A · Problem 10
- 2023 AMC 10A · Problem 21
- 2023 AMC 10B · Problem 5
- 2023 AMC 10B · Problem 13
- 2023 AMC 10B · Problem 17
- 2023 AMC 10B · Problem 22
- 2023 AMC 12A · Problem 2
- 2023 AMC 12A · Problem 6
- 2023 AMC 12A · Problem 8
- 2023 AMC 12A · Problem 9
- 2023 AMC 12A · Problem 10
- 2023 AMC 12B · Problem 9
- 2023 AMC 12B · Problem 12
- 2023 AMC 12B · Problem 13
- 2022 AMC 10A · Problem 3
- 2022 AMC 10A · Problem 5
- 2022 AMC 10A · Problem 6
- 2022 AMC 10A · Problem 10
- 2022 AMC 10B · Problem 1
- 2022 AMC 10B · Problem 5
- 2022 AMC 10B · Problem 18
- 2022 AMC 10B · Problem 21
- 2022 AMC 12A · Problem 2
- 2022 AMC 12A · Problem 11
- 2022 AMC 12B · Problem 1
- 2022 AMC 12B · Problem 16
- 2021 AMC 10A · Problem 1
- 2021 AMC 10A · Problem 2
- 2021 AMC 10A · Problem 3
- 2021 AMC 10A · Problem 5
- 2021 AMC 10A · Problem 9
Use Start equations & systems practice above to keep going through the remaining 363, or browse them by contest in the AMC 12 and AMC 10 archives.
Back to all algebra problems.