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Math Study Lounge
These study sheets are for quick review on the subjects. Refer to our rapid courses for comprehensive review.
    - Getting Started with Algebra
    - Geometry Basics
    - How to Solve Math Problems
    - Trigonometry Quick Review
    - Statistics At-A-Glance
    - Calculus Preview

Linear Equations

Topic Review on "Title":

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.

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 are equations that state that two fractions are equal.

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

Rapid Study Kit for "Title":
Flash Movie Flash Game Flash Card
Core Concept Tutorial Problem Solving Drill Review Cheat Sheet

"Title" Tutorial Summary :

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.

Tutorial Features:

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.

"Title" Topic List:
Definition of Linear Equations
Golden Rule
Solving a Linear Equation
Strategies to solve a linear equation
Linear Inequalities
Definition of Linear Inequalities
Linear Inequalities Signs
Solving linear inequalities
Interval Notation

See all 24 lessons in College Algebra, including concept tutorials, problem drills and cheat sheets: Teach Yourself College Algebra Visually in 24 Hours

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