// TOPIC // ALGEBRA
ALGEBRA
Equations, inequalities, polynomials, functions, and sequences — the largest single category on AMC10.
What Algebra means on the AMC10
Roughly a third of every AMC10 paper tests algebraic reasoning. You will see:
- Linear and quadratic equations and systems of them
- Polynomials — factoring, roots, Vieta's formulas
- Exponents and logarithms — rules and clever rewrites
- Functions — domain/range, composition, simple transformations
- Sequences and series — arithmetic, geometric, telescoping
The key skill is noticing structure so you can pick the fast solution. Many AMC10 algebra problems have an "ugly" path and a one-line path; the goal of this section is to train your eye for the second.
How to use this section
Pick a subtopic, read the concept page, then jump into Practice. Each problem includes the primary solution and (where useful) an alternate method.