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 algebraic concepts needed to have a strong knowledge foundation for a Calculus course. Linear and quadratic equations are needed to be introduced in this Calculus course because they will be referred to in some Calculus topics.

Specific properties of the basic algebraic concepts needed for a Calculus course are discussed in this tutorial. Important equations such as logarithmic and exponential equations are mentioned in this tutorial so a deeper understanding of them is developed which will be needed for some differentiation and integration ideals.

Specific Tutorial Features:

• Linear equations and inequalities are introduced in this tutorial with the help of examples.
  
• The graphical representation of inequalities are covered in this tutorial along with their use with linear equations.

Series Features:

• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
  
• Definition slides introduce terms as they are needed.
  
• Visual representation of concepts
  
• Animated examples—worked out step by step
  
• A concise summary is given at the conclusion of the tutorial.

The basic rules of Algebra
Algebraic linear equations
      The graphical representation of a linear equation and its definition
      An equation and it slope intercept form
      Linear equation and its slope
Equations that have polynomials
      Quadratic equations and its solutions 
      Higher polynomial equations   
Polynomial equations and their factoring
      Common polynomial factoring techniques
Rationalizing of polynomial equations
Order and Inequalities      
      Number line and its graphical representation used in example problems
      How to solve simple linear inequalities?
Absolute value
     How to solve absolute value inequalities?
Inequalities that have polynomials
     How to solve polynomial inequalities?
Conic Sections
     Ellipses
     The properties of ellipses
     Circles
     The properties of circles
Exponentials and logarithms
     Exponentials and logarithmic functions and their definitions
    Graphs and applications of exponentials and logarithmic equations