Elementary & intermediate algebra : a unified approach
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Tittle Contents Chapter 0 PrealgebraReview 0.1 A Review of Fractions 0.2 Real Numbers 0.3 Adding and Subtracting Real Numbers 0.4 Multiplying and Dividing Real Numbers 0.5 Exponents and Order of Operations Chapter 0 :: Summary Chapter 0 :: Summary Exercises Chapter 0 :: Self-Test Chapter 1 From Arithmeticto Algebra 1.1 Transition to Algebra Activity 1: An Introduction to Searching 1.2 Evaluating Algebraic Expressions 1.3 Adding and Subtracting Algebraic Expressions Sets Chapter 1 :: Summary Chapter 1 :: Summary Exercises Chapter 1 :: Self-Test Chapter 2 Equations andInequalities 2.1 Solving Equations by Adding and Subtracting Activity 2: Monetary Conversions 2.2 Solving Equations by Multiplying and Dividing 2.3 Combining the Rules to Solve Equations 2.4 Literal Equations and Their Applications 2.5 Solving Linear Inequalities Using Addition 2.6 Solving Linear Inequalities Using Multiplication 2.7 Solving Absolute-Value Equations (Optional) 2.8 Solving Absolute-Value Inequalities (Optional) Chapter 2 :: Summary Chapter 2 :: Summary Exercises Chapter 2 :: Self-Test Cumulative Review :: Chapters 0–2 Chapter 3 Graphs and Linear Equations 3.1 Solutions of Equations in Two Variables Activity 3: Graphing with a Calculator 3.2 The Cartesian Coordinate System 3.3 The Graph of a Linear Equation 3.4 The Slope of a Line 3.5 Forms of Linear Equations 3.6 Graphing Linear Inequalities in Two Variables Chapter 3 :: Summary Chapter 3 :: Summary Exercises Chapter 3 :: Self-Test Cumulative Review :: Chapters 0–3 Chapter 4 Exponents and Polynomials 4.1 Positive Integer Exponents Activity 4: Getting Rich with Compound Interest 4.2 Zero and Negative Exponents and Scientific Notation 4.3 Introduction to Polynomials 4.4 Addition and Subtraction of Polynomials 4.5 Multiplication of Polynomials and Special Products 4.6 Division of Polynomials Chapter 4 :: Summary Chapter 4 :: Summary Exercises Chapter 4 :: Self-Test Cumulative Review :: Chapters 0–4 Chapter 5 Factoring Polynomials 5.1 An Introduction to Factoring Activity 5: ISBNs and the Check Digit 5.2 Factoring Special Polynomials 5.3 Factoring Trinomials: Trial and Error 5.4 Factoring Trinomials: The ac Method 5.5 Strategies in Factoring 5.6 Solving Quadratic Equations by Factoring 5.7 Problem Solving with Factoring Chapter 5 :: Summary Chapter 5 :: Summary Exercises Chapter 5 :: Self-Test Cumulative Review :: Chapters 0–5 Chapter 6 A Beginning Lookat Functions 6.1 Relations and Functions Activity 6: Growth of Children—Fitting a Linear Model to Data 6.2 Tables and Graphs 6.3 Algebra of Functions 6.4 Composition of Functions 6.5 Synthetic Substitution and Division Chapter 6 :: Summary Chapter 6 :: Summary Exercises Chapter 6 :: Self-Test Cumulative Review :: Chapters 0–6 Chapter R A Review of Elementary Algebra R.1 From Arithmetic to Algebra R.2 Equations and Inequalities R.3 Graphs and Linear Equations R.4 Exponents and Polynomials R.5 Factoring Polynomials R.6 A Beginning Look at Functions Final Exam :: Chapters 0– Chapter 7 Rational Expressions 7.1 Simplifying Rational Expressions Activity 7: Communicating Mathematical Ideas 7.2 Multiplication and Division of Rational Expressions 7.3 Addition and Subtraction of Rational Expressions 7.4 Complex Fractions 7.5 Solving Rational Equations 7.6 Solving Rational Inequalities Chapter 7 :: Summary Chapter 7 :: Summary Exercises Chapter 7 :: Self-Test Cumulative Review :: Chapters 0–7 Chapter 8 Matrices (Optional) 8.1 Solving Systems of Linear Equations by Graphing Activity 8: Agricultural Technology 8.2 Systems of Equations in Two Variables with Applications 8.3 Systems of Linear Equations in Three Variables 8.4 Systems of Linear Inequalities in Two Variables 8.5 Matrices (Optional) Chapter 8 :: Summary Chapter 8 :: Summary Exercises Chapter 8 :: Self-Test Cumulative Review :: Chapters 0–8 Chapter 9 Graphical Solutions 9.1 Solving Equations in One Variable Graphically Activity 9: Solving Systems of Equations Graphically 9.2 Solving Linear Inequalities in One Variable Graphically 9.3 Solving Absolute-Value Equations Graphically 9.4 Solving Absolute-Value Inequalities Graphically Chapter 9 :: Summary Chapter 9 :: Summary Exercises Chapter 9 :: Self-Test Cumulative Review :: Chapters 0–9 Chapter 10 Radicals and Exponents Radicals and Exponents 10.1 Roots and Radicals Activity 10: The Swing of a Pendulum 10.2 Simplifying Radical Expressions 10.3 Operations on Radical Expressions 10.4 Solving Radical Equations 10.5 Rational Exponents 10.6 Complex Numbers Chapter 10 :: Summary Chapter 10 :: Summary Exercises Chapter 10 :: Self-Test Cumulative Review :: Chapters 0–10 Chapter 11 Quadratic Functions Quadratic Functions 11.1 Solving Quadratic Equations by Completing the Square Activity 11: Stress-Strain Curves 11.2 The Quadratic Formula 11.3 An Introduction to Parabolas 11.4 Solving Quadratic Inequalities Chapter 11 :: Summary Chapter 11 :: Summary Exercises Chapter 11 :: Self-Test Cumulative Review :: Chapters 0–11 Chapter 12 Conic Sections 12.1 Conic Sections and Circles Activity 12: Sketching the Skies 12.2 Ellipses 12.3 Hyperbolas Chapter 12 :: Summary Chapter 12 :: Summary Exercises Chapter 12 :: Self-Test Cumulative Review Chapters 0–12 Chapter 13 Exponential and Logarithmic Functions 13.1 Inverse Relations and Functions Activity 13: Half-Life and Decay 13.2 Exponential Functions 13.3 Logarithmic Functions 13.4 Properties of Logarithms 13.5 Logarithmic and Exponential Equations Chapter 13 :: Summary Chapter 13 :: Summary Exercises Chapter 13 :: Self-Test Cumulative Review :: Chapters 0–13 Appendix A :: Determinants and Cramer’s Rule Answers to Summary Exercises, Self-Tests, and Cumulative Reviews Index
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