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 what linear equations are and how they are used in application problems. Arithmetic multiplication and division operations techniques are used to show the importance of solving linear equations for unknown variables. Linear operations can be solved through the use of inverse operations.

Examples are presented to show proportions and linear inequalities. Solving techniques are used to show the relationship between linear equations and linear inequalities. Finally, multiple inequalities are solved through the use of an example.

Specific Tutorial Features:
• Step by step examples showing solving linear equations, solving proportions and linear inequalities are shown in this tutorial.
• Examples displaying how linear inequalities are solved and how the solutions are represented using interval notation are mentioned 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
How an equation is solved
Linear inequalities and their definition