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Introduction: Exactly What is Algebra?
Chapter 1 - Some Pre-Algebra Topics That You Should Already Know
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
Chapter 2 - Numbers
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
Chapter 3 - Expressions
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 - Expression Trees
3.7 - Reference - Simplifying Expressions
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Chapter 4 - Equations
4.1 - Introduction to Equations
4.2 - Linear Equations
Algebra Coach Exercises
Chapter 5 - Functions
5.1 - Introduction to Functions
5.2 - Reference - Graphs of Eight Basic Types of Functions
5.3 - Reference - The Eleven Built-in Functions
sin, cos and tan
arcsin, arccos and arctan
log, ln and exp
square root and power
Algebra Coach Exercises
Chapter 6 - Graphs, Linear Functions and Straight Lines
6.1 - Rectangular Coordinates
6.2 - Linear Functions and Straight Lines
6.3 - Other Types of Graphs
Algebra Coach Exercises
Chapter 7 - Systems of Linear Equations
7.1 - Introduction to Systems of Linear Equations
7.2 - The Substitution Method
7.3 - The Elimination Method
Algebra Coach Exercises
Chapter 8 - Factoring
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
Chapter 9 - Quadratics and Quadratic Equations
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
Chapter 10 - Polynomials and Polynomial Equations
10.1 - Introduction to Polynomials
10.2 - Factoring Polynomials
10.3 - Polynomial Equations
Algebra Coach Exercises
Chapter 11 - Fractions and Fractional Equations
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
Chapter 12 - Exponents and Logarithms
12.1 - Exponents
12.2 - Logarithms
12.3 - Exponential Functions
12.4 - Logarithmic Functions
12.5 - Logarithmic Graphs
12.6 - Exponential Equations
The Four Types
12.7 - Logarithmic Equations
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Chapter 13 - Radicals and Radical Equations
13.1 - Simplifying Radicals
13.2 - Radical Equations
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Chapter 14 - Trigonometry
14.1 - Introduction to Trigonometry
14.2 - Trigonometric Identities
14.3 - Trigonometric Equations
Algebra Coach Exercises
Chapter 15 - Complex Numbers
15.1 - Introduction to Complex Numbers
15.2 - Complex Numbers in Polar and Exponential Form
Algebra Coach Exercises