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### Elementary Algebra Course

Elementary Algebra - This course is designed to be completed in one semester.  Links to the open textbook and corresponding assignments are provided. I cover chapters 1 - 7 of the textbook and there are four 1-hour exams as well as a comprehensive 2-hour final exam.  Worksheet source files and videos can be found at the bottom of this page. Feel free to cut-and-paste the links into your CMS.

Chapter 1 - Real Numbers and Their Operations

1.1 Real Numbers and The Number Line
1.2 Adding and Subtracting Integers
1.3 Multiplying and Dividing Integers
1.4 Fractions
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1.5 Review of Decimals and Percents
1.6 Exponents and Square Roots
1.7 Order of Operations
1.8 Review Exercises and Sample Exam

Weekly Assignment 1a ]
Weekly Assignment 1b ]

Chapter 2 - Linear Equations and Inequalities

2.1 Introduction to Algebra
2.2 Simplifying Algebraic Expressions
2.3 Linear Equations: Part I
2.4 Linear Equations: Part II
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2.5 Applications of Linear Equations
2.6 Ratio and Proportion Applications
2.7 Introduction to Inequalities and Interval Notation
2.8 Linear Inequalities (one variable)
2.9 Review Exercises and Sample Exam

Weekly Assignment 2a ]
Weekly Assignment 2b ]
[ Solving Linear Equations Worksheet ]
[ Solving Linear Inequalities Worksheet ]

Exam #1 - Covers chapters 1 and 2.
Sample Test Questions Chapter 1 ]
Sample Test Questions Chapter 2 ]

Chapter 3 - Graphing Lines

3.1 Rectangular Coordinate System
3.2 Graph by Plotting Points
3.3 Graph using Intercepts
3.4 Graph using the y-intercept and Slope
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3.5 Finding Linear Equations
3.6 Parallel and Perpendicular Lines
3.7 Introduction to Functions
3.8 Linear Inequalities (Two Variables)
3.9 Review Exercises and Sample Exam

Weekly Assignment 3a ]
Weekly Assignment 3b ]

Chapter 4 - Solving Linear Systems

4.1 Solving Linear Systems by Graphing
4.2 Solving Linear Systems by Substitution
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4.3 Solving Linear Systems by Elimination
4.4 Applications of Linear Systems
4.5 Solving Systems of Linear Inequalities (Two Variables)
4.6 Review Exercises and Sample Exam

Weekly Assignment 4a ]
Weekly Assignment 4b ]

Exam #2 - Covers chapters 3 and 4
Sample Test Questions Chapter 3 ]
Sample Test Questions Chapter 4 ]

Chapter 5 - Polynomials and Their Operations

5.1 Rules of Exponents (Integer Exponents)
5.2 Introduction to Polynomials and Evaluating
5.3 Adding and Subtracting Polynomials
5.4 Multiplying Polynomials and Special Products
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5.5 Dividing Polynomials
5.6 Negative Exponents and Scientific Notation
5.7 Review Exercises and Sample Exam

Weekly Assignment 5b ]

Chapter 6- Factoring and Solving by Factoring

6.1 Introduction to Factoring
6.2 Factoring Trinomials
6.3 Factoring Trinomials ax^2 + bx + c
6.4 Factoring Binomials
6.5 General Guidelines for Factoring Polynomials
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6.6 Solving Equations by Factoring
6.7 Applications involving Quadratic Equations
6.8 Review Exercises and Sample Exam

Weekly Assignment 6b ]
[ Solve by Factoring Worksheet ]

Exam #3 - Covers Chapters 5 and 6
Sample Test Questions Chapter 5 ]

Chapter 7- Rational Expressions and Equations

7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions
7.4 Complex Fractions
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7.5 Solving Rational Equations
7.6 Applications of Rational Equations
7.7 Variation
7.8 Review Exercises and Sample Exam

Chapter 8- Radical Expressions and Equations

8.2 Simplifying Radical Expressions
8.4 Multiplying and Dividing Radical Expressions
8.5 Rational Exponents
8.6 Solving Radical Equations
8.7 Review Exercises and Sample Exam
[ Solving Radical Equations Worksheet ]
[ Sample Test Questions Chapter 8 ]

Chapter 9- Solving Quadratic Equations and Graphing Parabolas

9.1 Extracting Square Roots
9.2 Completing the Square
9.4 Guidelines for Solving Quadratic Equations and Applications
9.5 Graphing Parabolas
9.6 Introduction to Complex Numbers and Complex Solutions
9.7 Review Exercises and Sample Exam

[ Worksheet Source Files ] - Word 2007 docx with MathType Equations.
[ Corresponding Videos ] - Click on the problem for a redirect to the "Try This!" solution on youTube.