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Algebra I is the foundation of all higher mathematics. It introduces the language of mathematics through variables, expressions, and equations.

Key Topics

  • Variables and Expressions — Writing and evaluating algebraic expressions.
  • Linear Equations & Inequalities — Solving and graphing equations of the form \(y = mx + b\).
  • Systems of Equations — Finding solutions that satisfy two or more equations simultaneously.
  • Functions — Understanding input/output relationships and function notation \(f(x)\).
  • Polynomials — Adding, subtracting, multiplying, and factoring polynomial expressions.
  • Quadratic Equations — Introduction to the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\).
  • Exponents and Radicals — Laws of exponents and simplifying radical expressions.

Why It Matters

Algebra teaches you to think abstractly and solve problems systematically — skills that apply far beyond mathematics. Every subject on this page builds on the concepts learned here.