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Introduction: Exactly What is Algebra?

- 1.1 - Factors of Numbers, Greatest Common Factors and Least Common Multiples
- 1.2 - Fractions and how to Add, Subtract, Multiply and Divide Them
- 1.3 - Decimal and Exponential Notation
- 1.4 - Order of Operations and Invisible Brackets
- Algebra Coach Exercises

- 2.1 - The Types of Numbers
- 2.2 - Addition and Subtraction of Numbers
- 2.3 - Multiplication of Numbers
- 2.4 - Division of Numbers
- 2.5 - Scientific Notation
- 2.6 - Approximate Numbers and Significant Figures
- Algebra Coach Exercises

- 3.1 - Introduction to Expressions
- 3.2 - Addition and Subtraction of Expressions
- 3.3 - Integer Exponents
- 3.4 - Multiplication of Expressions
- 3.5 - Division of Expressions
- 3.6 - The Binomial and Multinomial Theorems
- 3.7 - Expression Trees
- 3.8 - Reference - Simplifying Expressions
- Algebra Coach Exercises

- 5.1 - Introduction to Functions
- 5.2 - Reference - Graphs of Eight Basic Types of Functions
- 5.3 - Reference - The Eleven Built-in Functions

- Algebra Coach Exercises

- 6.1 - Rectangular Coordinates
- 6.2 - Linear Functions and Straight Lines
- 6.3 - Other Types of Graphs
- Algebra Coach Exercises

- 7.1 - Introduction to Systems of Linear Equations
- 7.2 - The Substitution Method
- 7.3 - The Elimination Method
- Algebra Coach Exercises

- 8.1 - Common Factors
- 8.2 - Difference of Squares
- 8.3 - Quadratic Trinomials
- 8.4 - Factoring by Grouping
- 8.5 - Sum or Difference of Cubes
- Algebra Coach Exercises

- 9.1 - Introduction to Quadratics
- 9.2 - The Completing the Square Method
- 9.3 - Factoring Quadratics by Completing the Square
- 9.4 - Quadratic Equations
- Algebra Coach Exercises

- 10.1 - Introduction to Polynomials
- 10.2 - Factoring Polynomials
- 10.3 - Polynomial Equations
- Algebra Coach Exercises

- 11.1 - Simplification of Algebraic Fractions
- 11.2 - Multiplication and Division of Algebraic Fractions
- 11.3 - Addition and Subtraction of Algebraic Fractions
- 11.4 - Fractional Equations
- Algebra Coach Exercises

- 12.1 - Exponents
- 12.2 - Logarithms
- 12.3 - Exponential Functions
- 12.4 - Logarithmic Functions
- 12.5 - Logarithmic Graphs
- 12.6 - Exponential Equations
- 12.7 - Logarithmic Equations
- Algebra Coach Exercises

- 14.1 - Introduction to Trigonometry
- 14.2 - Trigonometric Identities
- 14.3 - Trigonometric Equations
- Algebra Coach Exercises

- 15.1 - Introduction to Complex Numbers
- 15.2 - Complex Numbers in Polar and Exponential Form
- Algebra Coach Exercises