Algebra:
Mathematics branch of mathematics that uses basic operations to solve expressions
Linear equations:
A linear equation is an equation involving only the sum or product of constants and the first power of a variable.
 where m is the slope and b is the y intercept is the general form of an equation in slope intercept form.
The formula of a slope= where and are two points in ordered pair form.
The general form of point slope form is:
 where m is the slope, and is the two points in ordered pair form.  
Polynomial equations:
The quadratic formula equals:
 where a, b and c are constants of a quadratic equation is of the form
.
Factoring:
Factoring is a process of dividing out a factor from a mathematical expression.
Common factors technique is of the form ax+bx=x(a+b).
Difference of squares: .
Difference of cubes: .
Rationalizing is the process of removing an irrational expression from the numerator of a fraction.
Order and Inequalities:
   Number line: An axis or ray usually horizontal on which real numbers are represented and ordered from left to right.
Absolute value: For a real number a, it is a if a is greater than or equal to zero or –a if a is less than zero. It is denoted.
Conic sections:
The general equation of a circle:
. Where r is the radius of the circle and  is the center of the circle.
The general equation of an ellipse:
.

Natural logarithm: A log taken to base “e”, is approximately 2.7.
Natural Log Function: .
Exponential function: .

This tutorial deals with the algebra concepts needed to build a solid foundation for the development of trigonometric principles. The basic form of linear equations and quadratic equations are discussed in this tutorial to help introduce their applications.

A review of the basic rules of algebra is introduced here. Specific properties of linear equations are shown here with the use of examples. Polynomial equations are also mentioned in this tutorial with the help of examples and graphs.

Specific Tutorial Features:
• The basic representation of linear equations and inequalities are introduced in this tutorial with the help of examples.

Series Features:
• Concept map showing inter-connections of concepts introduced.
• Definition slides introduce terms as they are needed.
• Examples given throughout to illustrate how the concepts apply.
• A concise summary is given at the conclusion of the tutorial.

Algebra and their basic rules
Linear equations
       Definition of linear equation and its graphical representation
       Slope intercept form of an equation
       Slope of a linear equation
Polynomial equations
       The solutions of quadratic equations 
       2nd Order or higher polynomial equations 
Factoring of polynomial equations
       Common polynomial factoring techniques
Rationalizing of polynomial equations
Order and Inequalities      
       The graphical representation of a number line
       Solving simple inequalities
Absolute value
       How to absolute value inequalities
Polynomial inequalities
       How to solve polynomial inequalities
Conic Sections
       Ellipses and their properties
       Circles and their properties
Exponentials and logarithms
       Exponentials and logarithmic functions and their definitions
       Graphs and applications of exponentials and logarithmic equations