# Basic Algebra

This book is part of a series on Algebra:
Basic Algebra Algebra Intermediate Algebra Vectors Introductory Linear Algebra Linear Algebra Abstract Algebra Intro to Rings and Algebras Associative Composition Algebra

## Chapter 1: Introduction to Basic Algebra Ideas

* Introduction: The Ideas of Algebra
* Lesson 0. Translating Words into Math Symbols
* Lesson 1. Simple Operations
* Lesson 2. Exponents and Powers
* Lesson 3. Order of Operations
* Lesson 4. Variables and Expressions
* Lesson 5. Working With Negative Numbers
* Lesson 6. Solving Equations Using Properties of Mathematics
* Chapter Review
* Chapter Test

## Chapter 2: Working with Rational Numbers

* Lesson 1. Integers and the Number Line
* Lesson 2. Absolute Value
* Lesson 3. Rational Numbers
* Lesson 4. Adding Rational Numbers
* Lesson 5. Subtracting Rational Numbers
* Lesson 6. Multiplying Rational Numbers
* Lesson 7. Distributive Property
* Lesson 8. Combining Like Terms
* Lesson 9. Dividing Rational Numbers
* Lesson 10. Formulas
* Chapter Review
* Chapter Test

## Chapter 3: Solving Equations

* Lesson 1. Solving Equations with Addition and Subtraction
* Lesson 2. Solving Equations with Multiplication and Division
* Lesson 3. Solving Multi-Step Equations
* Lesson 4. Solving Equations with Variables on Both Sides of the Equation
* Lesson 5. Equations with More than One Variable
* Lesson 6. Formulas
* Chapter Review
* Chapter Test

## Chapter 4: Proportions and Proportional Reasoning

* Lesson 1. Proportions
* Lesson 2. Percents
* Lesson 3. Percent of Change
* Lesson 4. Weighted Averages
* Lesson 5. Direct and Inverse Variation
* Lesson 6. Solving Similar Triangles using Proportions
* Chapter Review
* Chapter Test

## Chapter 5: Lines (Linear Functions)

* Lesson 1. Graphing Points
* Lesson 2. Equations in Two Variables
* Lesson 3. Graphing Lines(Linear Functions)
* Lesson 4. Slope of a Line
* Lesson 5. Slope-Intercept Form of a Line
* Lesson 6. Find Parallel and Perpendicular Lines
* Lesson 7. Find the Equation of the Line Using Two Points
* Lesson 8. Functions and Relations
* Chapter Review
* Chapter Test

## Chapter 6: Linear Inequalities

* Lesson 1. Solving Inequalities
* Lesson 2. Solving "AND" Compound Inequalities
* Lesson 3. Solving "OR" Compound Inequalities
* Lesson 4. Solving Absolute Value Inequalities
* Lesson 5. Graphing Linear Inequalities
* Chapter Review
* Chapter Test

## Chapter 7: Systems of Linear Equations

* Lesson 1. Solving Linear Systems by Graphing
* Lesson 2. Solving Linear Systems by Substitution
* Lesson 3. Solving Linear Systems by Linear Combinations
* Lesson 4. Using Matricies to Solve Linear Systems
* Chapter Review
* Chapter Test

## Chapter 8: Polynomials

* Lesson 1. Exponents
* Lesson 2. Zero and Negative Exponents
* Lesson 3. Adding and Subtracting Polynomials
* Lesson 4. Multiplying Monomials
* Lesson 5. Powers of Monomials
* Lesson 6. Multiplying Monomials and Polynomials
* Lesson 7. Multiplying Polynomials
* Chapter Review
* Chapter Test

## Chapter 9: Factoring

* Lesson 1. Factors of Integers
* Lesson 2. Dividing Monomials
* Lesson 3. Monomial Factors of Polynomials
* Lesson 4. Multiplying Binomials
* Lesson 5. Squares of Binomials / Squares of Trinomials
* Lesson 6. Factoring x^2 + bx + c
* Lesson 7. Factoring x^2 - bx + c
* Lesson 8. Factoring x^2 - bx - c and x^2 + bx - c
* Lesson 9. Factoring a^2-b^2 Binomials
* Lesson 10. Factoring by Grouping
* Lesson 11. Factoring Cubic Polynomials
* Chapter Review
* Chapter Test

## Chapter 10: Solving Quadratic Equations

* Lesson 1. The Zero Product Property
* Lesson 2. Solving Quadratic Equations by Factoring
* Lesson 3. Solving Quadratic Equations By Taking The Square Root of Both Sides
* Lesson 4. Solving Quadratic Equations By Completing The Square
* Lesson 5. Solving Quadratic Equations By Using The Quadratic Formula
* Lesson 6. The Discriminant
* Lesson 7. Quadratic Equation Word Problems
* Chapter Review
* Chapter Test

## Chapter 11: Quadratic Functions

* Lesson 1. Graphing a Parabola
* Lesson 2. Using the Discrimnant to Help Graph a Parabola
* Lesson 3. Finding the Axis of Symmetry of a Parabola
* Lesson 4. Finding the Vertex of a Parabola
* Lesson 5. Graphing Quadratic Inequalities
* Chapter Review
* Chapter Test

## Chapter 12: Exponential Functions

* Lesson 1. Multiplication of Exponential Expressions
* Lesson 2. Zero and Negative Exponents
* Lesson 3. Graphs of Exponential Functions
* Lesson 4. Division of Exponential Expressions
* Lesson 5. Scientific Notation
* Lesson 6. Growth and Decay Functions
* Chapter Review
* Chapter Test

## Chapter 13: Rational Expressions and Equations

* Lesson 1. Direct and Inverse Variation
* Lesson 2. Simplifying Rational Expressions
* Lesson 3. Multiplying and Dividing Rational Expressions
* Lesson 4. Adding and Subtracting with Like Denominators
* Lesson 5. Adding and Subtracting When the Denominators are the Same
* Lesson 6. Adding and Subtracting When the Denominators are Different
* Lesson 7. Solving Rational Equations
* Chapter Review
* Chapter Test

## Chapter 14: Radical Expressions and Equations

* Lesson 1. Square Root Functions
* Lesson 2. Equations with Radicals
* Lesson 3. Rational Exponents
* Lesson 4. The Pythagorean Theorem
* Lesson 5. The Distance Formula
* Chapter Review
* Chapter Test