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The Basics | |

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Notation and Symbols | |

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Real Numbers | |

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Addition of Real Numbers | |

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Subtraction of Real Numbers | |

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Properties of Real Numbers | |

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Multiplication of Real Numbers | |

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Division of Real Numbers | |

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Subsets of Real Numbers | |

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Addition and Subtraction with Fractions | |

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Summary | |

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Review/Test | |

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Projects | |

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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 Equations | |

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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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Summary | |

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Review/Test | |

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Projects | |

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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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Slope and the Equation of a Line | |

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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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Summary | |

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Review/Test | |

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Projects | |

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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 with Polynomials | |

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Binomial Squares and Other Special Products | |

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Dividing a Polynomial by a Monomial | |

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Dividing a Polynomial by a Polynomial | |

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Summary | |

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Review/Test | |

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Projects | |

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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 Squares | |

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Factoring: A General Review | |

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Solving Equations by Factoring | |

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Applications | |

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Summary | |

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Review/Test | |

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Projects | |

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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 | |

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Complex Fractions | |

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Proportions | |

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Summary | |

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Review/Test | |

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Projects | |

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Transitions | |

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Review of Solving Equations | |

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Equations with Absolute Value | |

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Compound Inequalities and Interval Notation | |

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Inequalities Involving Absolute Value | |

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Review of Systems of Equations in Two Variables | |

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Systems of Equations in Three Variables | |

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Systems of Linear Inequalities | |

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Summary | |

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Review/Test | |

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Projects | |

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Equations and Functions | |

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The Slope of a Line | |

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The Equation of a Line | |

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Introduction to Functions | |

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Function Notation | |

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Algebra and Composition with Functions | |

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Variation | |

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Summary | |

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Review/Test | |

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Projects | |

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Rational Exponents and Roots | |

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Rational Exponents | |

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More Expressions Involving Rational Exponents | |

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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 Radical Expressions | |

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Equations with Radicals | |

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Complex Numbers | |

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Summary | |

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Review/Test | |

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Projects | |

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Quadratic Functions | |

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Completing the Square | |

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The Quadratic Formula | |

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Additional Items Involving Solutions to Equations | |

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Equations Quadratic in Form | |

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Graphing Parabolas | |

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Quadratic Inequalities | |

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Summary | |

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Review/Test | |

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Projects | |

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Exponential And Logarithmic Functions | |

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Exponential Functions | |

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The Inverse of a Function | |

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Logarithms are Exponents | |

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Properties of Logarithms | |

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Common Logarithms and Natural Logarithms | |

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Exponential Equations and Change of Base | |

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Summary | |

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Review/Test | |

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Projects | |

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Conic Sections | |

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The Circle | |

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Ellipses and Hyperbolas | |

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Second-Degree Inequalities and Nonlinear Systems | |

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Summary | |

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Review/Test | |

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Projects | |

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Sequences and Series | |

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Sequences | |

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Series | |

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Arithmetic Sequences | |

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Geometric Sequences | |

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The Binomial Expansion | |

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Summary | |

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Review/Test | |

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Projects | |