Art of Problem Solving
Academic Year Math

Algebra 1

Students engage with mathematical expressions from an algebraic and geometric perspective. They solve linear and quadratic equations, represent expressions in the Cartesian plane, and develop a deep understanding of functions. Students are also introduced to the rich field of complex numbers. They tackle challenging word problems and advanced problems from contests such as MATHCOUNTS, AMC 8, and AMC 10.

PREVIOUS COURSE: Prealgebra

NEXT COURSE: Geometry

Course Overview


  • Academic Year Program | 36 Weeks
  • Weekly Class time: 105 minutes
  • Homework: 60–180 minutes per week
  • Textbook: Art of Problem Solving Introduction to Algebra by Richard Rusczyk
  • Skills: Linear Equations and Systems, Inequalities, Graphing, Quadratics, Complex Numbers, Functions

$655 per trimester

Note: Students who are new to AoPS Academy can receive course approvals by going through our admissions process.

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Course Textbooks

All texts are provided during the course

Introduction to Algebra, Art of Problem Solving (AoPS)book

Introduction to Algebra

by Richard Rusczyk

Learn the basics of algebra from former USA Mathematical Olympiad winner and Art of Problem Solving founder Richard Rusczyk. Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!

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