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(Note:All chapters end with a Summary and Review section.) | |

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Fundamental Concepts | |

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The Real Number System | |

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Zero and Order of Operations | |

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Scientific Notation and Powers of 10 | |

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Measurement | |

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Operations with Measurements | |

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Algebraic Expressions | |

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Exponents and Radicals | |

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Multiplication of Algebraic Expressions | |

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Division of Algebraic Expressions | |

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Linear Equations | |

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Formulas | |

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Substitution of Data into Formulas | |

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Applications Involving Linear Equations | |

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Ratio and Proportion | |

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Variation | |

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Review of Geometry | |

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Angles and Lines | |

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Triangles | |

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Quadrilaterals | |

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Circles | |

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Geometric Solids: Areas and Volumes | |

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Right-Triangle Trigonometry | |

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The Trigonometric Ratios | |

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Values of the Trigonometric Ratios | |

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Solving Right Triangles | |

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Applications of the Right Triangle | |

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Equations and Their Graphs | |

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Functions | |

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Graphing Equations | |

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The Straight Line | |

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Parallel and Perpendicular Lines | |

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The Distance and Midpoint Formulas | |

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Factoring and Algebraic Fractions | |

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Special Products | |

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Factoring Algebraic Expressions | |

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Other Forms of Factoring | |

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Equivalent Fractions | |

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Multiplication and Division of Algebraic Fractions | |

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Addition and Subtraction of Algebraic Fractions | |

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Complex Fractions | |

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Equations with Fractions | |

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Systems of Linear Equations | |

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Solving a System of Two Linear Equations | |

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Other Systems of Equations | |

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Solving a System of Three Linear Equations | |

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Determinants | |

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Properties of Determinants | |

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Solving a System of Linear Equations Using Determinants | |

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Partial Fractions | |

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Quadratic Equations | |

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Solving Quadratic Equations by Factoring | |

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Solving Quadratic Equations by Completing the Square | |

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The Quadratic Formula | |

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Applications | |

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Exponents and Radicals | |

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Integral Exponents | |

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Fractional Exponents | |

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Simplest Radical Form | |

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Addition and Subtraction of Radicals | |

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Multiplication and Division of Radicals | |

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Equations with Radicals | |

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Equations in Quadratic Form | |

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Exponentials and Logarithms | |

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The Exponential Function | |

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The Logarithm | |

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Properties of Logarithms | |

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Common Logarithms | |

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Natural Logarithms | |

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Solving Exponential Equations | |

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Solving Logarithmic Equations | |

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Applications: Solving Exponential and Logarithmic Equations | |

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Data Along a Straight Line | |

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Trigonometric Functions | |

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The Trigonometric Functions | |

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Trigonometric Functions of Any Angle | |

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Radian Measure | |

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Use of Radian Measure | |

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Oblique Triangles and Vectors | |

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Law of Sines | |

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The Ambiguous Case | |

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Law of Cosines | |

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Applications of Oblique Triangles | |

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Addition of Vectors: Graphical Methods | |

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Addition of Vectors: Trigonometric Methods | |

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Vector Components | |

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Vector Applications | |

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Graphing the Trigonometric Functions | |

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Graphing the Sine and Cosine Functions | |

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Phase Shift | |

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Graphing the Other Trigonometric Functions | |

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Graphing Composite Curves | |

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Simple Harmonic Motion | |

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Trigonometric Formulas and Identities | |

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Basic Trigonometric Identities | |

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Formulas for the Sum and the Difference of Two Angles | |

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Double- and Half-Angle Formulas | |

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Trigonometric Equations | |

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Inverse Trigonometric Functions | |

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Complex Numbers | |

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Complex Numbers in Rectangular Form | |

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Trigonometric and Exponential Forms of Complex Numbers | |

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Multiplication and Division of Complex Numbers in Exponential and Trigonometric Forms | |

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Powers and R | |