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Real Numbers, Algebraic Expressions and Equations | |

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Tips for Success | |

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Algebraic Expressions and Sets of Numbers | |

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Operations on Real Numbers and Order of Operations | |

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Properties of Real Numbers and Algebraic Expressions | |

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Solving Linear Equations Algebraically | |

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An Introduction to Problem Solving | |

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A Numerical Approach to Modeling with Tables | |

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Formulas and Problem Solving | |

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Graphs and Functions | |

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Graphing Equations | |

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Introduction to Functions | |

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Graphing Linear Functions | |

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The Slope of a Line | |

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Equations of Lines | |

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Interpreting Data: Linear Models | |

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Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions | |

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Equations and Inequalities | |

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Solving Linear Equations Graphically | |

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Linear Inequalities and Problem Solving | |

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Compound Inequalities | |

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Absolute Value Equations | |

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Absolute Value Inequalities | |

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Graphing Linear Inequalities in Two Variables | |

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Systems of Equations | |

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Solving Systems of Linear Equations in Two Variables | |

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Solving Systems of Linear Equations in Three Variables | |

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Systems of Linear Equations and Problem Solving | |

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Solving Systems of Equations by Matrices | |

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Systems of Linear Inequalities | |

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Exponents, Polynomials, and Polynomial Functions | |

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Exponents and Scientific Notation | |

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More Work with Exponents and Scientific Notation | |

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Polynomials and Polynomial Functions | |

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Multiplying Polynomials | |

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The Greatest Common Factor and Factoring by Grouping | |

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Factoring Trinomials | |

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Factoring by Special Products | |

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Solving Equations by Factoring and Problem Solving | |

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Rational Expressions | |

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Rational Functions and Multiplying and Dividing Rational Expressions | |

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Adding and Subtracting Rational Expressions | |

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Simplifying Complex Fractions | |

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Dividing Polynomials: Long Division and Synthetic Division | |

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Solving Equations Containing Rational Expressions | |

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Rational Equations and Problem Solving | |

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Variation and Problem Solving | |

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Rational Exponents, Radicals, and Complex Numbers | |

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Radicals and Radical Functions | |

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Rational Exponents | |

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Simplifying Radical Expressions | |

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Adding, Subtracting, and Multiplying Radical Expressions | |

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Rationalizing Denominators and Numerators of Radical Expressions | |

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Radical Equations and Problem Solving | |

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Complex Numbers | |

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Quadratic Equations and Functions | |

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Solving Quadratic Equations by Completing the Square | |

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Solving Quadratic Equations by the Quadratic Formula | |

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Solving Equations by Using Quadratic Methods | |

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Nonlinear Inequalities in One Variable | |

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Quadratic Functions and Their Graphs | |

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Further Graphing of Quadratic Functions | |

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Interpreting Data: Linear and Quadratic Models | |

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Exponential and Logarithmic Functions | |

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The Algebra of Functions; Composite Functions | |

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Inverse Functions | |

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Exponential Functions | |

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Exponential Growth and Decay Functions | |

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Logarithmic Functions | |

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Properties of Logarithms | |

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Common Logarithms, Natural Logarithms, and Change of Base | |

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Exponential and Logarithmic Equations and Applications | |

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Conic Sections | |

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The Parabola and the Circle | |

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The Ellipse and the Hyperbola | |

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Solving Nonlinear Systems of Equations | |

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Nonlinear Inequalities and Systems of Inequalities | |

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Sequences, Series, and the Binomial Theorem | |

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Sequences | |

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Arithmetic and Geometric Sequences | |

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Series | |

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Partial Sums of Arithmetic and Geometric Sequences | |

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The Binomial Theorem | |

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Geometry | |

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Stretching and Compressing Graphs of Absolute Value Functions | |

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Solving Systems of Equations Using Determinants | |

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An Introduction to Using a Graphing Utility | |

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Graphing Stat Plots and Regression Equations | |