How to use this Algebra Help e-book

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Introduction: Exactly What is Algebra?
 
Chapter 1 - Some Pre-Algebra Topics

• 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 - The Binomial and Multinomial Theorems


• 3.7 - Expression Trees


• 3.8 - Reference - Simplifying Expressions


• Algebra Coach Exercises

 
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


• Algebra Coach Exercises

 
Chapter 13 - Radicals and Radical Equations

• 13.1 - Simplifying Radicals


• 13.2 - Radical Equations


• Algebra Coach Exercises

 
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