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| Introduction | |
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| Translating Problems into Algebraic Equations | |
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| Introduction to Algebra | |
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| Translating English into Algebraic Equations | |
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| Algebra Terminology | |
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| Simple Word Problems | |
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| Simplifying Algebraic Equations | |
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| Commutative, Associative, and Distributive Properties of Addition and Multiplication | |
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| Using Associative and Distributive Properties | |
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| Combining Like Terms in Algebraic Equations | |
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| Simplifying Algebraic Equations by Removing Parentheses and Combining Like Terms | |
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| The General Order to Perform Operations in Algebra | |
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| Solving Simple Algebraic Equations | |
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| Solving Algebraic Equations That Have One Unknown Variable | |
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| Solving Simple Algebraic Equations Containing Fractions | |
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| Solving Simple Algebraic Equations Containing Radicals | |
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| Algebraic Inequalities | |
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| Solving Algebraic Inequalities with One Unknown Variable | |
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| Polynomials | |
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| Definitions | |
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| Addition of Polynomials | |
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| Subtraction of Polynomials | |
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| Multiplication of Polynomials | |
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| Division of Polynomials | |
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| Factoring Polynomials with a Common Monomial Factor | |
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| Factoring Polynomial Expressions with the Form ax2 + bx + c | |
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| Algebraic Fractions with Polynomial Expressions | |
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| Factoring and Reducing Algebraic Fractions | |
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| Multiplication of Algebraic Fractions | |
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| Division of Algebraic Fractions | |
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| Addition and Subtraction of Algebraic Fractions | |
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| Solving Quadratic Polynomial Equations with One Unknown Variable | |
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| Defining and Solving Quadratic (Polynomial) Equations | |
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| Using Factoring to Solve Quadratic Equations with One Unknown Variable | |
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| Using the Quadratic Formula to Solve Quadratic Equations with One Unknown Variable | |
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| Using the Square Root Method to Solve Quadratic Equations with One Unknown Variable | |
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| Using the Method of Completing the Square to Solve Quadratic Equations with One Unknown Variable | |
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| Solving Systems of Linear Equations with Two or Three Unknown Variables | |
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| Solving Systems of Linear Equations with Two or More Unknown Variables | |
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| Using the Elimination Method to Solve Systems of Linear Equations with Two Unknown Variables | |
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| Using the Substitution Method to Solve Systems of Linear Equations with Two Unknown Variables | |
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| Using the Method of Determinants to Solve Systems of Two Linear Equations with Two Unknown Variables | |
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| Solving Systems of Three Linear Equations with Three Unknown Variables | |
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| Using the Elimination Method to Solve Systems of Three Linear Equations with Three Unknown Variables | |
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| Using the Substitution Method to Solve Systems of Three Linear Equations with Three Unknown Variables | |
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| Using the Matrix Method to Solve Systems of Three Linear Equations with Three Unknown Variables | |
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| Using the Method of Determinants of a Square Matrix to Solve Systems of Three Linear Equations with Three Unknown Variables | |
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| Working with Coordinate Systems and Graphing Equations | |
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| Introduction and Definitions | |
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| Graphing Linear Equations | |
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| Slope of a Line | |
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| Graphs of the Equations for the Parabola | |
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| Graphing Quadratic Equations | |
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| Using Graphing to Solve Quadratic Equations | |
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| Using Graphing to Solve Two Linear Equations with Two Unknown Variables | |
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| Examples of Other Equation Forms That Graph to Shapes on a Coordinate System | |
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| Index | |