Algebra

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A Wikibookian suggests that Intermediate Algebra be merged into this book or chapter. Discuss whether or not this merger should happen on the discussion page.

A Wikibookian suggests that Algebra I - A Verbose Approach be merged into this book or chapter. Discuss whether or not this merger should happen on the discussion page.

Welcome to the Wikibooks Algebra textbook! Take a moment to skim over the chapters and sections to get a better idea if this is the right text for you. Also, please familiarize yourself with the GNU Free Documentation License, as this book falls under its rules. This textbook is currently undergoing an expansion and reorganization, so keep checking back for new content. Eventually it will become a comprehensive, well-organized textbook capable of being used for personal or academic use.

• Algebra is the study of symbolic mathematics and mathematical structures.
• It is a major branch of mathematics.
• You can perform a Google Search in this book.
• Interested in a simple-English version of this book? Check out Algebra I in Simple English.

[edit] Contents

[edit] Chapter 1: Introduction to Mathematics

1. Algebra will begin with an introduction into the world of Mathematics, starting with an explanation of what this book is about, whom it is for, and what you can expect to find within it. There will also be a variety of information and resources regarding math.
2. About This Book
   1. What is math, exactly? - And why should I care?
   2. Who should read this book - And what to expect

[edit] Chapter 2: Numbers, Variables and Equations

Algebra As a Problem Solving Technique

• You've been asked to buy peanuts at a baseball game; you have $12.50, and you want to know how many bags you can buy. One bag is $2.75. This is an algebra problem! In this chapter you will begin learning how to use numbers and variables to find out unknown information. This starts off with a closer look at numbers and operations, then covers variables and equations.

1. Numbers
   1. The Real Number System
   2. Sets and the Number Line
   3. Arithmetic
   4. Order of Operations
   5. Exponents
   6. Ways to Organize Numbers
2. Variables
   1. Variables
3. Equations
   1. Equations
   2. Solving Equations
   3. Word Problems
   4. Systems of Equations

• Math is a method of solving problems. You take information you know, and by manipulating it using mathematical principles, you can find information you don't know. Functions are the mathematical framework for solving problems. They have parameters, rules, and ways of being solved. This section will introduce you to common functions and how to use them.

1. Introduction to Functions
   1. Functions
   2. Toolkit Functions
      • Polynomials
      • Exponentials
      • Logarithms
      • Natural Logarithms and e
2. Graphing Functions
   1. Graphing Functions
      • The Coordinate/Cartesian Plane
      • Slope
      • Standard Form and Solving Slope
      • Determining Slope
      • Finding the Y-Intercept
      • Absolute Value
      • Inequalities
   • Compound and Absolute Value Inequalities
   • Graphing Systems of Equations
   • Graphing Systems of Inequalities
   • Other Types of Graphs

1. To be merged/unsorted
   1. Binomial Theorem
   2. Factoring Polynomials
   3. Roots and Radicals
   4. The Pythagorean Theorem
   5. Completing the Square
   6. Quadratic Equation
   7. Complex Numbers
   8. Conic Sections
      1. Circle
      2. Ellipse
      3. Hyperbola
      4. Parabola
   9. Probability
   10. Statistics
   11. Theory
   12. Iteration