Basic Algebra

This book is part of a series on Algebra:

Basic Algebra
Algebra
Intermediate Algebra
Vectors
Linear Algebra
Abstract Algebra
Intro to Rings and Algebras
Associative Composition Algebra

For Contributors

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

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

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