# Algebra

## PrefaceEdit

Algebra is the branch of mathematics concerning the study of the rules of operations and relations, and the constructions and concepts arising from them, including terms, polynomials, equations and algebraic structures.

You've been asked to buy peanuts for you and your friends at a football game. You've collected \$12.50. One bag is \$2.75. You want to know how many bags you can buy. This is an algebra problem! Related problems are how much money will be left over, and what should you buy or in what proportions should you return the extra money to your friends.

Algebra helps us to predict things that we don't yet know and to determine the relationships between the things we do. Algebra is a powerful and rich branch of mathematics that is useful in everyday life as well as business, engineering, and other technical fields.

## ContentsEdit

### Introduction to MathematicsEdit

1. What is math, exactly? - And why should I care?
2. Who should read this book - And what to expect

### Numbers, Variables and RelationshipsEdit

How can we use numbers and variables to find out unknown information?

1. Review
2. Numbers and Variables
3. Equations With One Variable
4. Inequalities

### Linear Functions An Introduction To GraphingEdit

Maths 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.

### Graphing PolynomialsEdit

1. Graphing Polynomials
2. Inverses of Functions
3. Compound and Absolute Value Inequalities For Polynomials
4. Graphing Systems of Inequalities For Polynomials

### Complex NumbersEdit

1. Complex Numbers

### Elementary Probability and StatisticsEdit

1. Introduction to Probability and Statistics
1. Probability
2. Statistics
3. Scatter Plots

## Ongoing merging workEdit

TO DO

Fix algebra for Q & R in Proportions or Ratios section

Add word problems for possible relationships part of inequalities

Add graphics for multiplying by 1 and -1 to description of special case multiply by -1

Add description for special case Going back to equality

Fill in example of half area function

Fix contents, Clarify Explanation

Move Todos here ... or fill 'em in

Why use standard form vs. Slope Intercept form? Need more context.

Leap in sophistication ... End of the conversational tone. Need to make friendlier, simpler

To be merged/unsorted

1. In this book
1. Theory
2. Iteration
3. Stemplots (Do we want this?)
4. Talk:Algebra/ToInclude
5. Arithmetic/Numerical Axioms (Was orphaned from the book, should keep an eye out for others)
6. Equalities and Inequalities (Was orphaned from the book)
7. Algebra
8. Proofs/Exercises Don't forget to merge this page out of this book.