Ebook: Beginning and intermediate algebra

Chapter 1 The Real Number System 1.1 Fractions Study Skills: Reading Your Math Textbook 1.2 Exponents, Order of Operations, and Inequality Study Skills: Taking Lecture Notes 1.3 Variables, Expressions, and Equations 1.4 Real Numbers and the Number Line Study Skills: Tackling Your Homework 1.5 Adding and Subtracting Real Numbers Study Skills: Using Study Cards 1.6 Multiplying and Dividing Real Numbers Summary Exercises on Operations with Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions Study Skills: Reviewing a Chapter Chapter 2 Linear Equations and Inequalities in One Variable 2.1 The Addition Property of Equality 2.2 The Multiplication Property of Equality 2.3 More on Solving Linear Equations Summary Exercises on Solving Linear Equations Study Skills: Using Study Cards Revisited 2.4 An Introduction to Applications of Linear Equations 2.5 Formulas and Applications from Geometry 2.6 Ratio, Proportion, and Percent 2.7 Further Applications of Linear Equations 2.8 Solving Linear Inequalities Study Skills: Taking Math Tests Chapter 3 Linear Equations in Two Variables 3.1 Linear Equations in Two Variables: The Rectangular Coordinate System Study Skills: Managing Your Time 3.2 Graphing Linear Equations in Two Variables 3.3 The Slope of a Line 3.4 Writing and Graphing Equations of Lines Summary Exercises on Linear Equations and Graphs Chapter 4 Exponents and Polynomials 4.1 The Product Rule and Power Rules for Exponents 4.2 Integer Exponents and the Quotient Rule Summary Exercises on the Rules for Exponents 4.3 An Application of Exponents: Scientific Notation 4.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials 4.5 Multiplying Polynomials 4.6 Special Products 4.7 Dividing Polynomials Chapter 5 Factoring and Applications 5.1 The Greatest Common Factor; Factoring by Grouping 5.2 Factoring Trinomials 5.3 More on Factoring Trinomials 5.4 Special Factoring Techniques Summary Exercises on Factoring 5.5 Solving Quadratic Equations by Factoring 5.6 Applications of Quadratic Equations Chapter 6 Rational Expressions and Applications 6.1 The Fundamental Property of Rational Expressions 6.2 Multiplying and Dividing Rational Expressions 6.3 Least Common Denominators 6.4 Adding and Subtracting Rational Expressions 6.5 Complex Fractions 6.6 Solving Equations with Rational Expressions Summary Exercises on Rational Expressions and Equations 6.7Applications of Rational Expressions Chapter 7 Graphs, Linear Equations, and Functions 7.1 Review of Graphs and Slopes of Lines 7.2 Review of Equations of Lines; Linear Models Summary Exercises on Slopes and Equations of Lines 7.3 Introduction to Relations and Functions 7.4 Operations and Functions of Composition 7.5 Variation Chapter 8 Systems of Linear Equations 8.1 Solving Systems of Linear Equations by Graphing 8.2 Solving Systems of Linear Equations by Substitution 8.3 Solving Systems of Linear Equations by Elimination Summary Exercises on Solving Systems of Linear Equations 8.4 Systems of Linear Equations in Three Variables 8.5 Applications of Systems of Linear Equations 8.6 Solving Systems of Linear Equations by Matrix Methods Chapter 9 Inequalities and Absolute Value 9.1 Set Operations and Compound Inequalities 9.2 Absolute Value Equations and Inequalities Summary Exercises on Solving Linear and Absolute Value Equations 9.3 Linear Inequalities in Two Variables Chapter 10 Roots, Radicals, and Root Functions 10.1 Radical Expressions and Graphs 10.2 Rational Exponents 10.3 Simplifying Radical Expressions 10.4 Adding and Subtracting Radical Expressions 10.5 Multiplying and Dividing Radical Expressions Summary Exercises on Operations with Radicals and Rational Exponents 10.6 Solving Equations with Radicals 10.7 Complex Numbers Chapter 11 Quadratic Equations, Inequalities, and Functions 11.1 Solving Quadratic Equations by the Square Root Property 11.2 Solving Quadratic Equations by Completing the Square 11.3 Solving Quadratic Equations by the Quadratic Formula 11.4 Equations Quadratic in Form Summary Exercises on Solving Quadratic Equations 11.5 Formulas and Further Applications 11.6 Graphs of Quadratic Functions 11.7 More about Parabolas and Their Applications 11.8 Polynomial and Rational Inequalities Chapter 12 Inverse, Exponential, and Logarithmic Functions 12.1 Inverse Functions 12.2 Exponential Functions 12.3 Logarithmic Functions 12.4 Properties of Logarithms 12.5 Common and Natural Logarithms 12.6 Exponential and Logarithmic Equations; Further Applications Chapter 13 Nonlinear Functions, Conic Sections, and Nonlinear Systems 13.1 Additional Graphs of Functions 13.2 The Circle and the Ellipse 13.3 The Hyperbola and Functions Defined by Radicals 13.4 Nonlinear Systems of Equations 13.5 Second-Degree Inequalities and Systems of Inequalities Chapter 14 Sequences and Series 14.1 Sequences and Series 14.2 Arithmetic Sequences 14.3 Geometric Sequences 14.4 The Binomial Theorem Appendices A Sets B Review of Exponents, Polynomials, and Factoring C Synthetic Division D An Introduction to Calculators