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Intermediate Algebra | |

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The Real Numbers | |

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Numbers and Their Properties | |

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Operations and Properties of Real Numbers | |

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Properties of Exponents | |

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Algebraic Expressions and the Order of Operations | |

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Linear Equations and Inequalities | |

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Linear Equations in One Variable | |

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Formulas, Geometry, and Problem Solving | |

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Problem Solving | |

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Integers and Geometry | |

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Problem Solving | |

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Percent, Investment, Motion, and Mixture Problems | |

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Linear and Compound Inequalities | |

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Absolute-Value Equations and Inequalities | |

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Graphs and Functions | |

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Graphs | |

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Using Slopes to Graph Lines | |

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Equations of Lines | |

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Linear Inequalities in Two Variables | |

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Introduction to Functions | |

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Linear Functions | |

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Solving Systems of Linear Equations and Inequalities | |

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Systems with Two Variables | |

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Systems with Three Variables | |

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Coin, Distance-Rate-Time, Investment, and Geometry Problems | |

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Systems of Linear Inequalities | |

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Polynomials | |

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Polynomials | |

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Addition and Subtraction | |

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Multiplication of Polynomials | |

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The Greatest Common Factor and Factoring by Grouping | |

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Factoring Trinomials | |

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Special Factoring | |

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General Methods of Factoring | |

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Solving Equations by Factoring | |

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Applications | |

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Rational Expressions | |

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Rational Expressions | |

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Multiplication and Division of Rational Expressions | |

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Addition and Subtraction of Rational Expressions | |

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Complex Fractions | |

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Division of Polynomials and Synthetic Division | |

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Equations Involving Rational Expressions | |

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Applications | |

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Problem Solving | |

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Variation | |

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Rational Exponents and Radicals | |

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Rational Exponents and Radicals | |

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Simplifying Radicals | |

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Operations with Radicals | |

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Solving Equations Containing Radicals | |

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Complex Numbers | |

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Quadratic Equations and Inequalities | |

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Solving Quadratics by Completing the Square | |

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The Quadratic Formula | |

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Applications | |

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The Discriminant and Its Applications | |

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Solving Equations in Quadratic Form | |

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Nonlinear Inequalities | |

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Quadratic Functions and the Conic Sections | |

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Quadratic Functions and Their Graphs | |

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Circles and Ellipses | |

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Hyperbolas and Identification of Conics | |

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Nonlinear Systems of Equations | |

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Nonlinear Systems of Inequalities | |

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Functions-Inverse, Exponential, and Logarithmic | |

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The Algebra of Functions | |

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Inverse Functions | |

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Exponential Functions | |

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Logarithmic Functions and Their Properties | |

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Common and Natural Logarithms | |

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Exponential and Logarithmic Equations and Applications | |

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Sequences and Series | |

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A1 Matrices | |

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A2 Determinants and Cramer's Rule | |

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A3 Sequences and Series | |

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A4 Arithmetic Sequences and Series | |

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A5 Geometric Sequences and Series | |

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A6 The Binomial Expansion | |