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Review of Real Numbers | |

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Integers, Opposites, and Absolute Values | |

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Operations with Integers | |

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Fractions | |

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Operations with Fractions | |

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Decimals and Percents | |

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Basic Statistics | |

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Exponents and Order of Operations | |

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Introduction to Algebra | |

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Linear Equations | |

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Introduction to Linear Equations | |

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Solving Linear Equations: A General Strategy | |

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Problem Solving; Applications of Linear Equations | |

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Applications Involving Percentages; Ration and Proportion | |

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Linear Inequalities | |

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Graphing Linear Equations | |

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The Rectangular Coordinate System; Equations in Two Variables | |

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Graphing Linear Equations and Their Intercepts | |

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Slope of a Line | |

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Linear Functions | |

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Parallel and Perpendicular Lines | |

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Equations of Lines | |

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Linear Inequalities | |

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Systems of Equations | |

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Systems of Linear Equations; Solving Systems by Graphing | |

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Solving Systems of Equations by Using the Substitution Method | |

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Solving Systems of Equations by Using the Addition Method | |

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Applications of Systems of Equations | |

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Systems of Linear Inequalities | |

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Exponents and Polynomials | |

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Exponents | |

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Negative Exponents; Scientific Notation | |

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Polynomials; Addition and Subtraction of Polynomials | |

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Multiplying Polynomials | |

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Dividing of Polynomials | |

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Factoring and Quadratic Equations | |

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An Introduction to Factoring; the Greatest Common Factor; Factoring by Grouping | |

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Factoring Trinomials of the Form x2 + bx + c | |

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Factoring Trinomials of the Form ax2 + bx + c, where a ï¿½ï¿½ 1 | |

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Factoring Special Binomials | |

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Factoring Polynomials: A General Strategy | |

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Solving Quadratic Equations by Factoring | |

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Quadratic Functions | |

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Applications of Quadratic Equations and Quadratic Functions | |

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Rational Expressions and Equations | |

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Rational Expressions and Functions | |

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Multiplication and Division of Rational Expressions | |

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Addition and Subtraction of Rational Expressions That Have the Same Denominator | |

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Addition and Subtraction of Rational Expressions That Have Different Denominators | |

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Complex Fractions | |

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Rational Equations | |

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Applications of Rational Equations | |

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A Transition | |

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Linear Equations and Absolute Value Equations | |

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Linear Inequalities and Absolute Value Inequalities | |

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Graphing Linear Equations and Functions; Graphing Absolute Value Functions | |

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Review of Factoring; Quadratic Equations and Rational Equations | |

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Systems of Equations (Two Equations in Two Unknowns, Three Equations in Three Unknowns) | |

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Radical Expressions and Equations | |

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Square Roots; Radical Notation | |

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Rational Exponents | |

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Simplifying, Adding, and Subtracting Radical Expressions | |

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Multiplying and Dividing Radical Expressions | |

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Radical Equations and Applications of Radical Equations | |

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The Complex Numbers | |

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Quadratic Equations | |

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Solving Quadratic Equations by Extracting Square Roots; Completing the Square | |

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The Quadratic Formula | |

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Equations That Are Quadratic in Form | |

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Graphing Quadratic Equations | |

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Applications Using Quadratic Equations | |

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Quadratic and Rational Inequalities | |

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Functions | |

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Review of Functions | |

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Linear Functions | |

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Quadratic Functions | |

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Other Functions and Their Graphs | |

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The Algebra of Functions | |

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Inverse Functions | |

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Logarithmic and Exponential Functions | |

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Exponential Functions | |

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Logarithmic Functions | |

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Properties of Logarithms | |

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Exponential and Logarithmic Equations | |

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Applications of Exponential and Logarithmic Functions | |

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Graphing Exponential and Logarithmic Functions | |

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Conic Sections | |

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Parabolas | |

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Circles | |

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Ellipses | |

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Hyperbolas | |

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Nonlinear Systems of Equations | |

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Sequences, Series, and the Binomial Theorem | |

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Sequences and Series | |

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Arithmetic Sequences and Series | |

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Geometric Sequences and Series | |

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The Binomial Theorem | |

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Appendices | |

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Synthetic Division | |

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Using Matrices to Solve Systems of Equations | |