AoPS Introduction to Algebra

Lessons

Module 1: Following the Rules, x marks the spot, One-Variable Linear Equations

Numbers and Order of Operations

When does order matter?

Distribution and Factoring and Equations

Expressions and Arithmetic with Expressions

Distribution, Subtraction, Factoring

Fractions

Solving Linear Equations

Word Problems and Linear Equations in Disguise

Test 1 Review

Test 1

Module 2: Equations with More Variables, Multi-Variable Linear Equations, Ratios and Percents

Evaluating Multi-Variable Expressions and More Arithmetic

Distribution and Factoring

Fractions and Equations

Introduction to Two-Variable Linear Equations and Substitution

Elimination and Word Problems

More Linear Equations in Disguise and More Variables

Basic and More Challenging Ratio Problems

Conversion Factors

Percent and Percentage Problems

Test 2 Review

Test 2

Module 3: Proportion, Graphing Lines, and Introduction to Inequalities

Direct Proportion and Inverse Proportion

Joint Proportion and Rate Problems

The Number Line and the Cartesian Plane and and Introduction to Graphing Linear Equations

Using Slope in Problems and Finding the Equation

Slope and Intercepts and Comparing Lines

Basics of Inequalities

Linear Inequalities and Graphing Inequalities

Optimization

Test 3 Review

Test 3

Module 4: Quadratic Equations and Special Factorizations

Getting started with Quadratics and Factoring Quadratics

Sums and Products of a Quadratic

Extensions and Applications of Quadratics

Squares of Binomials and Difference of Squares

Sum and Difference of Cubes and Rationalizing Denominators

Simon's Favorite Factoring Trick

Module 5: Complex Numbers, Quadratic Equations Revisited, and Graphing Quadratics

Numbers!

Imaginary Numbers

Complex Numbers

Squares of Binomials Revisisted and Completing the Square

The Quadratic Formula

Applications and Extensions Revisited

Home Page

AoPS Introduction to Algebra

Lessons

Module 1: Following the Rules, x marks the spot, One-Variable Linear Equations

Module 2: Equations with More Variables, Multi-Variable Linear Equations, Ratios and Percents

Module 3: Proportion, Graphing Lines, and Introduction to Inequalities

Module 4: Quadratic Equations and Special Factorizations

Module 5: Complex Numbers, Quadratic Equations Revisited, and Graphing Quadratics

Module 6: More Inequalities, Functions, and Graphing Functions

Module 7: Polynomials, Exponents and Logarithms, and Special Functions

Module 8: Sequences and Series and Special Manipulations