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Preface | |
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To the Student | |
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About the Author | |
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Applications Index | |
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Algebra, Mathematical Models, and Problem Solving | |
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Algebraic Expressions and Real Numbers | |
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Operations with Real Numbers and Simplifying Algebraic Expressions | |
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Graphic Equations | |
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Solving Linear Equations | |
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Problem Solving and Using Formulas | |
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Problems of Integral Exponents | |
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Scientific Notation | |
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Functions and Linear Functions | |
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Introduction to Functions | |
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The Algebra of Functions | |
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Linear Functions and Slope | |
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The Point-Slope Form of the Equation of a Line | |
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Systems of Linear Equations | |
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Systems of Linear Equations in Two Variables | |
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Problem Solving and Business Applications Using Systems of Equations | |
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Systems of Linear Equations in Three Variables | |
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Matrix Solutions to Linear Systems | |
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Determinants and Cramer's Rule | |
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Inequalities and Problem Solving | |
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Solving Linear Inequalities | |
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Compound Inequalities | |
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Equations and Inequalities Involving Absolute Value | |
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Linear Inequalities in Two Variables | |
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Linear Programming | |
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Polynomials, Polynomial Functions, and Factoring | |
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Introduction to Polynomials and Polynomial Functions | |
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Multiplication of Polynomials | |
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Greatest Common Factors and Factoring by Grouping | |
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Factoring Trinomials | |
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Factoring Special Forms | |
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A General Factoring Strategy | |
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Polynomial Equations and Their Applications | |
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Rational Expressions, Functions, and Equations | |
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Rational Expressions and Functions: Multiplying and Dividing | |
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Adding and Subtracting Rational Expressions | |
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Complex Rational Expressions | |
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Division of Polynomials | |
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Synthetic Division and the Remainder Theorem | |
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Rational Equations | |
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Formulas and Applications of Rational Equations | |
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Modeling Using Variation | |
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Radicals, Radical Functions, and Rational Exponents | |
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Radical Expressions and Functions | |
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Rational Exponents | |
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Multiplying and Simplifying Radical Expressions | |
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Adding, Subtracting, and Dividing Radical Expressions | |
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Multiplying with More Than One Term and Rationalizing Denominators | |
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Radical Equations | |
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Complex Numbers | |
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Quadratic Equations and Functions | |
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The Square Root Property and Completing the Square | |
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The Quadratic Formula | |
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Quadratic Functions and Their Graphs | |
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Equations Quadratic in Form | |
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Quadratic and Rational Inequalities | |
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Exponential and Logarithmic Functions | |
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Exponential Functions | |
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Composite and Inverse 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 Growth and Decay; Modeling Data | |
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Conic Sections and Nonlinear Systems of Equations | |
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Distance and Midpoint Formulas: Circles | |
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The Ellipse | |
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The Hyperbola | |
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The Parabola: Identifying Conic Sections | |
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Systems of Nonlinear Equations in Two Variables | |
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More on Polynomial and Rational Functions | |
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Polynomial Functions and Their Graphs | |
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Zeros of Polynomial Functions | |
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Rational Functions and Their Graphs | |
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Sequences, Induction, and Probability | |
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Sequences and Summation Notation | |
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Arithmetic Sequences | |
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Geometric Sequences and Series | |
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The Binomial Theorem | |
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Mathematical Induction | |
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Counting Principles, Permutations, and Combinations | |
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Probability | |
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Appendix | |
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Answers to Selected Exercises | |
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Subject Index | |
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Photo Credits | |