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The Basics | |

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Variables, Notation, and Symbols | |

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Real Numbers | |

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Addition and Subtraction of Real Numbers | |

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Multiplication of Real Numbers | |

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Division of Real Numbers | |

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Properties of Real Numbers | |

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Subsets of Real Numbers | |

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Addition and Subtraction of Fractions with Variables | |

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Linear Equations and Inequalities | |

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Simplifying Expressions | |

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Addition Property of Equality | |

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Multiplication Property of Equality | |

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Solving Linear Equation | |

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Formulas | |

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Applications | |

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More Applications | |

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Linear Inequalities | |

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Compound Inequalities | |

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Linear Equations and Inequalities in Two Variables | |

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Paired Data and Graphing Ordered Pairs | |

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Solutions to Linear Equations in Two Variables | |

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Graphing Linear Equations in Two Variables | |

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More on Graphing: Intercepts | |

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The Slope of a Line | |

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Finding the Equation of a Line | |

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Linear Inequalities in Two Variables | |

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Systems of Linear Equations | |

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Solving Linear Systems by Graphing | |

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The Elimination Method | |

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The Substitution Method | |

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Applications | |

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Exponents and Polynomials | |

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Multiplication with Exponents | |

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Division with Exponents | |

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Operations with Monomials | |

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Addition and Subtraction of Polynomials | |

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Multiplication of Polynomials | |

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Binomial Squares and Other Special Products | |

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Divide a Polynomial by a Monomial | |

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Divide a Polynomial by a Polynomial | |

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Factoring | |

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The Greatest Common Factor and Factoring by Grouping | |

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Factoring Trinomials | |

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More Trinomials to Factor | |

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The Difference of Two Squares | |

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The Sum and Difference of Two Cubed | |

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Factoring: A General Review | |

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Solving Quadratic Equations by Factoring | |

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Applications of Quadratic Equations | |

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Rational Expressions | |

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Reducing Rational Expressions to Lowest Terms | |

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Multiplication and Division of Rational Expressions | |

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Addition and Subtraction of Rational Expressions | |

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Equations Involving Rational Expressions | |

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Applications of Rational Expressions | |

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Complex Fractions | |

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Proportions | |

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Direct and Inverse Variation | |

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Roots and Radicals | |

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Definitions and Common Roots | |

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Properties of Radicals | |

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Simplified Form for Radicals | |

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Addition and Subtraction of Radical Expressions | |

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Multiplication and Division of Radicals | |

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Equations Involving Radicals | |

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Quadratic Equations | |

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More Quadratic Equations | |

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Completing the Square | |

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The Quadratic Formula | |

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Complex Numbers | |

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Complex Solutions to Quadratic Equations | |

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Graphing Parabola | |

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Appendices | |

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Introduction to Functions | |

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Functional Notation | |

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Fractional Exponents | |

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Equations with Absolute Value | |

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Inequalities with Absolute Value | |