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1. Real Numbers, Algebraic Expressions and Equations 1.1 Tips for Success 1.2 Algebraic Expressions and Sets of Numbers 1.3 Operations on Real Numbers and Order of Operations 1.4 Properties of Real Numbers and Algebraic Expressions 1.5 Solving Linear Equations Algebraically 1.6 An Introduction to Problem Solving 1.7 A Numerical Approach to Modeling with Tables 1.8 Formulas and Problem Solving 2. Graphs and Functions 2.1 Graphing Equations 2.2 Introduction to Functions 2.3 Graphing Linear Functions 2.4 The Slope of a Line 2.5 Equations of Lines 2.6 Interpreting Data: Linear Models 2.7 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions 3. Equations and Inequalities 3.1 Solving Linear Equations Graphically 3.2 Linear Inequalities and Problem Solving 3.3 Compound Inequalities 3.4 Absolute Value Equations 3.5 Absolute Value Inequalities 3.6 Graphing Linear Inequalities in Two Variables 4. Systems of Equations 4.1 Solving Systems of Linear Equations in Two Variables 4.2 Solving Systems of Linear Equations in Three Variables 4.3 Systems of Linear Equations and Problem Solving 4.4 Solving Systems of Equations by Matrices 4.5 Systems of Linear Inequalities 5. Exponents, Polynomials, and Polynomial Functions 5.1 Exponents and Scientific Notation 5.2 More Work with Exponents and Scientific Notation 5.3 Polynomials and Polynomial Functions 5.4 Multiplying Polynomials 5.5 The Greatest Common Factor and Factoring by Grouping 5.6 Factoring Trinomials 5.7 Factoring by Special Products 5.8 Solving Equations by Factoring and Problem Solving 6. Rational Expressions 6.1 Rational Functions and Multiplying and Dividing Rational Expressions 6.2 Adding and Subtracting Rational Expressions 6.3 Simplifying Complex Fractions 6.4 Dividing Polynomials: Long Division and Synthetic Division 6.5 Solving Equations Containing Rational Expressions 6.6 Rational Equations and Problem Solving 6.7 Variation and Problem Solving 7. Rational Exponents, Radicals, and Complex Numbers 7.1 Radicals and Radical Functions 7.2 Rational Exponents 7.3 Simplifying Radical Expressions 7.4 Adding, Subtracting, and Multiplying Radical Expressions 7.5 Rationalizing Denominators and Numerators of Radical Expressions 7.6 Radical Equations and Problem Solving 7.7 Complex Numbers 8. Quadratic Equations and Functions 8.1 Solving Quadratic Equations by Completing the Square 8.2 Solving Quadratic Equations by the Quadratic Formula 8.3 Solving Equations by Using Quadratic Methods 8.4 Nonlinear Inequalities in One Variable 8.5 Quadratic Functions and Their Graphs 8.6 Further Graphing of Quadratic Functions 8.7 Interpreting Data: Linear and Quadratic Models 9. Exponential and Logarithmic Functions 9.1 The Algebra of Functions; Composite Functions 9.2 Inverse Functions 9.3 Exponential Functions 9.4 Exponential Growth and Decay Functions 9.5 Logarithmic Functions 9.6 Properties of Logarithms 9.7 Common Logarithms, Natural Logarithms, and Change of Base 9.8 Exponential and Logarithmic Equations and Applications 10. Conic Sections 10.1 The Parabola and the Circle 10.2 The Ellipse and the Hyperbola 10.3 Solving Nonlinear Systems of Equations 10.4 Nonlinear Inequalities and Systems of Inequalities 11. Sequences, Series, and the Binomial Theorem 11.1 Sequences 11.2 Arithmetic and Geometric Sequences 11.3 Series 11.4 Partial Sums of Arithmetic and Geometric Sequences 11.5 The Binomial Theorem Appendix A. Geometry Appendix B. Stretching and Compressing Graphs of Absolute Value Functions Appendix C. Solving Systems of Equations Using Determinants Appendix D. An Introduction to Using a Graphing Utility Table of Contents
Get Annotated Instructor's Edition for Intermediate Algebra: A Graphing Approach, 5th Edition by Elayn Martin-Gay, University of New Orleans, Lakefront Margaret (Peg) Greene
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