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PREFACE APPLICATIONS INDEX Chapter 1: The Real Numbers 1.1 Sets 1.2 The Real Numbers 1.3 Operations on the Set of Real Numbers 1.4 Evaluating Expressions and the Order of Operations 1.5 Properties of the Real Numbers 1.6 Using the Properties Chapter 2: Linear Equations and Inequalities in One Variable 2.1 Linear Equations in One Variable 2.2 Formulas and Functions 2.3 Applications 2.4 Inequalities 2.5 Compound Inequalities 2.6 Absolute Value Equations and Inequalities Chapter 3: Linear Equations and Inequalities in Two Variables 3.1 Graphing Lines in the Coordinate Plane 3.2 Slope of a Line 3.3 Three Forms for the Equation of a Line 3.4 Linear Inequalities and Their Graphs 3.5 Functions and Relations Chapter 4: Systems of Linear Equations 4.1 Solving Systems by Graphing and Substitution 4.2 The Addition Method 4.3 Systems of Linear Equations in Three Variables 4.4 Solving Linear Systems Using Matrices 4.5 Determinants and Cramer's Rule 4.6 Linear Programming Chapter 5: Exponents and Polynomials 5.1 Integral Exponents and Scientific Notation 5.2 The Power Rules 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Binomials 5.5 Factoring Polynomials 5.6 Factoring ax^2 + bx + c 5.7 Factoring Strategy 5.8 Solving Equations by Factoring Chapter 6: Rational Expressions and Functions 6.1 Properties of Rational Expressions and Functions 6.2 Multiplication and Division 6.3 Addition and Subtraction 6.4 Complex Fractions 6.5 Division of Polynomials 6.6 Solving Equations Involving Rational Expressions 6.7 Applications Chapter 7: Radicals and Rational Exponents 7.1 Radicals 7.2 Rational Exponents 7.3 Adding, Subtracting, and Multiplying Radicals 7.4 Quotients, Powers, and Rationalizing Denominators 7.5 Solving Equations with Radicals and Exponents 7.6 Complex Numbers Chapter 8: Quadratic Equations, Functions, and Inequalities 8.1 Factoring and Completing the Square 8.2 The Quadratic Formula 8.3 More on Quadratic Equations 8.4 Quadratic Functions and Their Graphs 8.5 Quadratic Inequalities Chapter 9: Additional Function Topics 9.1 Graphs of Functions and Relations 9.2 Transformations of Graphs 9.3 Combining Functions 9.4 Inverse Functions 9.5 Variation Chapter 10: Polynomial and Rational Functions 10.1 The Factor Theorem 10.2 Zeros of a Polynomial Function 10.3 The Theory of Equations 10.4 Graphs of Polynomial Functions 10.5 Graphs of Rational Functions Chapter 11: Exponential and Logarithmic Functions 11.1 Exponential Functions and Their Applications 11.2 Logarithmic Functions and Their Applications 11.3 Properties of Logarithms 11.4 Solving Equations and Applications Chapter 12: Nonlinear Systems and the Conic Sections 12.1 Nonlinear Systems of Equations 12.2 The Parabola 12.3 The Circle 12.4 The Ellipse and Hyperbola 12.5 Second-Degree Inequalities Chapter 13: Sequences and Series 13.1 Sequences 13.2 Series 13.3 Arithmetic Sequences and Series 13.4 Geometric Sequences and Series 13.5 Binomial Expansions Chapter 14: Counting and Probability 14.1 Counting and Permutations 14.2 Combinations 14.3 Probability Appendix A Answers to Selected Exercises Index