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| Note: Each chapter concludes with a Chapter Summary, Review Exercises, and a Chapter Test | |
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| Algebra and Geometry Review | |
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| The Real Number System | |
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| Integer Exponents and Scientific Notation | |
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| Roots, Radicals, and Rational Exponents | |
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| Polynomials | |
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| Factoring | |
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| Rational Expressions | |
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| Geometry Review | |
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| Solving Basic Equations | |
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| Functions, Graphs, and Applications | |
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| Functions | |
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| Graphs of Functions | |
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| Linear Functions | |
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| Modeling with Linear Functions; Variation | |
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| Intersections of Lines and Linear Inequalities | |
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| More About Functions and Equations | |
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| Coordinate Geometry: Distance, Midpoints, and Circles | |
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| The Algebra of Functions | |
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| Transformations of the Graph of a Function | |
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| Symmetry and Other Properties of Functions | |
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| Equations and Inequalities Involving Absolute Value | |
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| Piecewise-Defined Functions | |
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| Quadratic Functions | |
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| Graphs of Quadratic Functions | |
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| Quadratic Equations | |
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| Complex Numbers and Quadratic Equations | |
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| Quadratic Inequalities | |
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| Equations That Are Reducible to Quadratic Form; Rational and Radical Equations | |
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| Polynomial and Rational Functions | |
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| Graphs of Polynomial Functions | |
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| More on Graphs of Polynomial Functions and Models | |
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| Division of Polynomials; The Remainder and Factor Theorems | |
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| Real Zeros of Polynomials; Solutions of Equations | |
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| The Fundamental Theorem of Algebra; Complex Zeros | |
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| Rational Functions | |
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| Polynomial and Rational Inequalities | |
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| Exponential and Logarithmic Functions | |
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| Inverse 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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| Exponential, Logistic, and Logarithmic Models | |
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| Systems of Equations and Inequalities | |
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| Systems of Linear Equations and Inequalities in Two Variables | |
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| Systems of Linear Equations in Three Variables | |
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| Solving Systems of Equations Using Matrices | |
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| Operations on Matrices | |
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| Matrices and Inverses | |
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| Determinants and Cramer's Rule | |
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| Partial Fractions | |
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| Systems of Nonlinear Equations | |
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| Conic Sections | |
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| The Parabola | |
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| The Ellipse | |
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| The Hyperbola | |
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| More Topics in Algebra | |
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| Sequences | |
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| Sums of Terms of Sequences | |
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| General Sequences and Series | |
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| Counting Methods | |
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| Probability | |
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| The Binomial Theorem | |
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| Mathematical Induction | |
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| Keystroke Guide for the TI-83/84 Calculator Series | |
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| Keys on Your Calculator | |
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| Getting Started | |
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| Editing and Deleting | |
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| Entering and Evaluating Common Expressions | |
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| Evaluating and Evaluating Functions | |
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| Building a Table | |
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| Graphing Linear, Quadratic, and Piecewise-Defined Functions | |
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| Graphing Polynomials, Rational Functions, and Inequalities | |
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| Solving Equations | |
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| Finding the Maximum and Minimum of a function | |
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| Complex Numbers | |
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| Fitting Curves to Data (Regression) | |
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| Matrices | |
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| Sequences and Series | |