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Preface 1. Basics of Algebra and Graphing 1.1 Some Basics of Algebra 1.2 Operations with Real Numbers 1.3 Equivalent Algebraic Expressions 1.4 Exponential Notation and Scientific Notation Mid-Chapter Review 1.5 Graphs 1.6 Solving Equations and Formulas 1.7 Introduction to Problem Solving and Models Summary and Review Test 2. Functions, Linear Equations, and Models 2.1 Functions 2.2 Linear Functions: Slope, Graphs, and Models 2.3 Another Look at Linear Graphs 2.4 Introduction to Curve Fitting: Point-Slope Form Mid-Chapter Review 2.5 The Algebra of Functions Summary and Review Test 3. Systems of Linear Equations and Problem Solving 3.1 Systems of Equations in Two Variables 3.2 Solving by Substitution or Elimination 3.3 Solving Applications: Systems of Two Equations Mid-Chapter Review 3.4 Systems of Equations in Three Variables 3.5 Solving Applications: Systems of Three Equations 3.6 Elimination Using Matrices 3.7 Determinants and Cramer's Rule 3.8 Business and Economics Applications Summary and Review Test Cumulative Review: Chapters 1—3 4. Inequalities 4.1 Inequalities and Applications 4.2 Solving Equations and Inequalities by Graphing 4.3 Intersections, Unions, and Compound Inequalities 4.4 Absolute-Value Equations and Inequalities Mid-Chapter Review 4.5 Inequalities in Two Variables Summary and Review Test 5. Polynomials and Polynomial Functions 5.1 Introduction to Polynomials and Polynomial Functions 5.2 Multiplication of Polynomials 5.3 Polynomial Equations and Factoring 5.4 Trinomials of the Type x2 + bx + c 5.5 Trinomials of the Type ax2 + bx + c 5.6 Perfect-Square Trinomials and Differences of Squares 5.7 Sums or Differences of Cubes Mid-Chapter Review 5.8 Applications of Polynomial Equations Summary and Review Test 6. Rational Expressions, Equations, and Functions 6.1 Rational Expressions and Functions: Multiplying and Dividing 6.2 Rational Expressions and Functions: Adding and Subtracting 6.3 Complex Rational Expressions Mid-Chapter Review 6.4 Rational Equations 6.5 Applications Using Rational Equations 6.6 Division of Polynomials 6.7 Synthetic Division 6.8 Formulas, Applications, and Variation Summary and Review Test Cumulative Review: Chapters 1—6 7. Exponents and Radical Functions 7.1 Radical Expressions, Functions, and Models 7.2 Rational Numbers as Exponents 7.3 Multiplying Radical Expressions 7.4 Dividing Radical Expressions 7.5 Expressions Containing Several Radical Terms Mid-Chapter Review 7.6 Solving Radical Equations 7.7 The Distance Formula, the Midpoint Formula, and Other Applications 7.8 The Complex Numbers Summary and Review Test 8. Quadratic Functions and Equations 8.1 Quadratic Equations 8.2 The Quadratic Formula 8.3 Studying Solutions of Quadratic Equations 8.4 Studying Solutions of Quadratic Equations 8.5 Equations Reducible to Quadratic Mid-Chapter Review 8.6 Quadratic Functions and Their Graphs 8.7 More About Graphing Quadratic Functions 8.8 Problem Solving and Quadratic Functions 8.9 Polynomial Inequalities and Rational Inequalities Summary and Review Test 9. Exponential Functions and Logarithmic Functions 9.1 Composite Functions and Inverse Functions 9.2 Exponential Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithmic Functions Mid-Chapter Review 9.5 Natural Logarithms and Changing Bases 9.6 Solving Exponential and Logarithmic Equations 9.7 Applications of Exponential and Logarithmic Functions Summary and Review Test Cumulative Review: Chapters 1—9 10. Conic Sections 10.1 Conic Sections: Parabolas and Circles 10.2 Conic Sections: Ellipses 10.3 Conic Sections: Hyperbolas Mid-Chapter Review 10.4 Nonlinear Systems of Equations Summary and Review Test 11. Sequences, Series, and the Binomial Theorem 11.1 Sequences and Series 11.2 Arithmetic Sequences and Series 11.3 Geometric Sequences and Series Mid-Chapter Review 11.4 The Binomial Theorem Summary and Review Test Cumulative Review: Chapters 1-11 Answers Glossary Photo Credits Index Table of Contents
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