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Note: Each chapter contains a Chapter Summary | |
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Chapter True/False Exercises | |
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Chapter Review Exercises, and a Chapter Test | |
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Chapters 18 include a Cumulative Review | |
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Preliminary Concepts | |
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Real Numbers | |
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Integer Exponents and Scientific Notation | |
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Operations on Polynomials | |
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Factoring | |
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Rational Expressions | |
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Rational Exponents and Radicals | |
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Complex numbers | |
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Equations and Inequalities | |
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Linear Equations and Their Applications | |
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Quadratic Equations and Their Applications | |
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Other Types of Equations | |
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Linear and Absolute Value Inequalities and Their Applications | |
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Quadratic and Rational Inequalities and Their Applications | |
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Introduction to Functions | |
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Rectangular Coordinates and Graphs | |
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Relations and Functions | |
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Properties of Linear Functions | |
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Linear Models | |
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Quadratic Functions | |
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Modeling Data Using Regression | |
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Properties of Functions | |
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Algebra of Functions | |
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Inverse Functions | |
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Transformations of Graphs | |
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Variation | |
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Polynomial and Rational Functions | |
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The Remainder Theorem and The Factor Theorem | |
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Polynomial Functions of Higher Degree | |
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Zeros of Polynomial Functions | |
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The Fundamental Theorem of Algebra | |
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Graphs of Rational Functions and Their Applications | |
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Exponential and Logarithmic Functions | |
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Exponential Functions and Their Applications | |
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Logarithmic Functions and Their Applications | |
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Working with Logarithms and Logarithmic Scales | |
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Exponential and Logarithmic Equations | |
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Exponential Growth and Decay | |
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Modeling Data with Exponential and Logarithmic Functions | |
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Logistic Growth Models and Their Applications | |
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Systems of Linear Equations and Inequalities | |
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Systems of Linear Equations in Two Variables | |
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Systems of Linear Equations in Three Variables | |
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Row Operations and Systems of Equations | |
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The Algebra of Matrices | |
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The Inverse of a Matrix | |
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Linear Inequalities and Systems of Linear Inequalities | |
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Sequences and Series with Applications to the Mathematics of Finance | |
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Introduction to Sequences and Series | |
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Arithmetic and Geometric Sequences and Series | |
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Simple and Compound Interest | |
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Present Value of an Annuity and Amortization | |
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Future Value of an Annuity and Sinking Funds | |
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Probability and the Binomial Theorem | |
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Counting Methods | |
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Introduction to Probability | |
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Probability of Compound Events | |
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The Binomial Theorem | |
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Conic Sections | |
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Determinants | |