Algebra Step by Step
A lightweight execution-visualization book.
Expressions
Combining Like Terms
The Distributive Property
Evaluating Expressions
Simplifying with Exponents
Translating Words to Expressions
Linear Equations
One-Step Equations
Two-Step Equations
Variables on Both Sides
Equations with Fractions
Equations with Parentheses
Inequalities
One-Step Linear Inequality
Flipping the Inequality Sign
Compound Inequalities
Graphing on a Number Line
Lines and Slope
Literal Equations
Slope from Two Points
Slope-Intercept Form
Point-Slope Form
Parallel and Perpendicular Lines
Systems of Equations
Substitution Method
Elimination Method
Three-Variable Systems
Systems from Word Problems
Exponents and Polynomials
Product and Power Rules for Exponents
Negative Exponents
Adding and Subtracting Polynomials
Multiplying Binomials (FOIL)
Special Products
Factoring
Greatest Common Factor
Factoring Trinomials
Difference of Squares
Factoring by Grouping
Quadratics
Zero Product Property
Completing the Square
Quadratic Formula
The Discriminant
Vertex and Graph
Radicals and Rational Expressions
Simplifying Radicals
Simplifying Rational Expressions
Solving Rational Equations
Solving Radical Equations
Functions
Function Notation
Domain of a Function
Composite Functions