# Basic Algebra

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This book is part of a series on **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