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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 | |