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.


Introduction to MathematicsEdit

  1. About This Book  
    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
    1. Elementary Arithmetic
    2. Order of Operations
  2. Numbers and Variables  
    1. Algebra and Properties Of Real Numbers
    2. Division is Not Commutative
    3. Rules of Exponents
    4. Roots and Radicals
    5. Variables
    6. Sets
  3. Equations With One Variable  
    1. What are Equations?
    2. Solving Equations With One Variable
    3. Word Problems
  4. Inequalities  
    1. Different Types of Relationships
    2. Interval notation and Graphing Intervals
    3. Solving 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.

  1. Introduction to Linear Functions  
    1. Functions
    2. Graphing Linear Functions  
      1. The Coordinate (Cartesian) Plane
      2. Linear Equations and Functions
      3. The X and Y Intercepts
      4. Slope
      5. Standard Form and Solving Slope
    3. Graphing Inequalities
    4. The Pythagorean Theorem and The Distance Formula
    5. Absolute Value
    6. Systems of Equations
    7. Compound and Absolute Value Inequalities
    8. Graphing Systems of Inequalities
    9. Other Types of Graphs


  1. Polynomials
    1. Factoring Polynomials
    2. Completing the Square
      1. Square Root is Positive (To be merged)
    3. Quadratic Formula
    4. Cubic Formula
    5. Binomial Theorem

Graphing PolynomialsEdit

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

Sequences and SeriesEdit

  1. Introduction to Sequences and Series
    1. Arithmetic Progression (AP)
    2. Geometric Progression (GP)
    3. Harmonic Progression (HP)

Conic SectionsEdit

  1. Conic Sections
    1. Circle
    2. Ellipse
    3. Parabola
    4. Hyperbola

Complex NumbersEdit

  1. Complex Numbers
    1. More about the Quadratic Formula
    2. More about Polynomials.

Elementary Probability and StatisticsEdit

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

Ongoing merging workEdit