Equations: 
Equations are statements where two quantities have the same value.

Golden Rule:
Whenever the same arithmetic operations are performed on both sides the equation will remain true.

Domain: 
The domain is the set of all possible values that the variables can have.

Solution Set:
The solution set is the collection of all roots of an equation.

Equivalent Equations:
Equivalent equations are equations that have the same solution set.

Proportions:
Proportions are equations that state that two fractions are equal.

Identity:
An identity is an equation with one variable that has no solution.

Inequality Signs:
The inequality signs are read from left to right and are defined as:
   a is less than b
   a is less than or equal to b
   a is greater than or equal to b
   a is greater than or equal to b

This tutorial describes linear equations and their use in application problems. Arithmetic operations techniques are used to show the importance of solving linear equations for unknown variables. Inverse operations are mentioned to emphasize their use in solving linear equations.

Key concepts such as proportions, linear inequalities are shown with the use of examples and strategies. A correlation of linear equations with linear inequalities is described with the use of solving techniques. Finally, an example showing how you solve multiple inequalities is described in this tutorial.

Specific Tutorial Features:
• Step by step examples showing solving linear equations, solving proportions and linear inequalities are shown in this tutorial.
• Examples displaying how to solve linear inequalities and how the solutions are represented using interval notation are displayed in this tutorial.

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.

Definition of Linear Equations
Golden Rule
Solving a Linear Equation
        Strategies to solve a linear equation
        Identity
Linear Inequalities
        Definition of Linear Inequalities
        Linear Inequalities Signs
        Solving linear inequalities
        Interval Notation