Elementary algebra : graphs & authentic applications

Preface To the student Acknowledgments Index of applications   1. Introduction to Modeling 1.1 Variables and Constants 1.2 Scattergrams 1.3 Exact Linear Relationships 1.4 Approximate Linear Relationships    Taking it to the Lab: Climate Change Lab * Volume Lab * Linear    Graphing Lab: Topic of Your Choice    CHAPTER SUMMARY    Key Points of Chapter 1    Chapter 1 Review Exercises    Chapter 1 Test   2. Operations and Expressions 2.1 Expressions 2.2 Operations with Fractions 2.3 Adding Real Numbers 2.4 Change in a Quantity and Subtracting Real Numbers 2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers 2.6 Exponents and Order of Operations    Taking it to the Lab: Climate Change Lab * Stocks Lab    CHAPTER SUMMARY    Key Points of Chapter 2    Chapter 2 Review Exercises    Chapter 2 Test    Cumulative Review of Chapters 1 and 2   3. Using Slope to Graph Linear Equations 3.1 Graphing Equations of the Form y = mx + b 3.2 Graphing Linear Models
 Unit Analysis 3.3 Slope of a Line 3.4 Using Slope to Graph Linear Equations 3.5 Rate of Change    Taking it to the Lab: Climate Change Lab * Workout    Lab * Balloon Lab    CHAPTER SUMMARY    Key Points of Chapter 3    Chapter 3 Review Exercises    Chapter 3 Test   4. Simplifying Expressions and Solving Equations 4.1 Commutative, Associative, and Distributive Laws 4.2 Simplifying Expressions 4.3 Solving Linear Equations in One Variable 4.4 Solving More Linear Equations in One Variable 4.5 Comparing Expressions and Equations 4.6 Formulas    CHAPTER SUMMARY    Key Points of Chapter 4    Chapter 4 Review Exercises    Chapter 4 Test    Cumulative Review of Chapters 1-4   5. Linear Equations in Two Variables 5.1 Graphing Linear Equations 5.2 Finding Linear Equations 5.3 Finding Equations of Linear Models 5.4 Using Linear Equations to Make Estimates and Predictions 5.5 Solving Linear Inequalities in One Variable    Taking it to the Lab: Climate Change Lab * Rope Lab * Shadow    Lab * Linear Equation Lab: Topic of Your Choice    CHAPTER SUMMARY    Key Points of Chapter 5    Chapter 5 Review Exercises    Chapter 5 Test   6. Systems of Linear Equations 6.1 Using Graphs and Tables to Solve Systems 6.2 Using Substitution to Solve Systems 6.3 Using Elimination to Solve Systems 6.4 Using Systems to Model Data 6.5 Perimeter, Value, Interest, and Mixture Problems 6.6 Linear Inequalities in Two Variables
 Systems of Linear    Inequalities in Two Variables    Taking it to the Lab: Climate Change Lab    CHAPTER SUMMARY    Key Points of Chapter 6    Chapter 6 Review Exercises    Chapter 6 Test    Cumulative Review of Chapters 1-6   7. Polynomials 7.1 Graphing Quadratic Equations 7.2 Quadratic Models 7.3 Adding and Subtracting Polynomials 7.4 Multiplying Polynomials 7.5 Powers of Polynomials
 Product of Binomial Conjugates 7.6 Properties of Exponents 7.7 Negative-Integer Exponents 7.8 Dividing Polynomials    Taking it to the Lab: Climate Change Lab * Projectile Lab    CHAPTER SUMMARY    Key Points of Chapter 7    Chapter 7 Review Exercises    Chapter 7 Test   8. Factoring Polynomials and Solving Polynomial Equations 8.1 Factoring Trinomials of the Form x2 + bx + c and Differences of Two Squares 8.2 Factoring Out the GCF
 Factoring by Grouping 8.3 Factoring Trinomials of the Form ax2 + bx + c 8.4 Sums and Differences of Cubes
 A Factoring Strategy 8.5 Solving Polynomial Equations 8.6 Using Factoring to Make Predictions with Quadratic Models    CHAPTER SUMMARY    Key Points of Chapter 8    Chapter 8 Review Exercises    Chapter 8 Test    Cumulative Review of Chapters 1-8   9. Solving Quadratic Equations 9.1 Simplifying Radical Expressions 9.2 Simplifying More Radical Expressions 9.3 Solving Quadratic Equations by the Square Root Property
 The Pythagorean Theorem 9.4 Solving Quadratic Equations by Completing the Square 9.5 Solving Quadratic Equations by the Quadratic Formula 9.6 More Quadratic Models    Taking it to the Lab: Climate Change Lab * Projectile Lab    CHAPTER SUMMARY    Key Points of Chapter 9    Chapter 9 Review Exercises    Chapter 9 Test   10. Rational Expressions and Equations 10.1 Simplifying Rational Expressions 10.2 Multiplying and Dividing Rational Expressions
 Converting Units 10.3 Adding Rational Expressions 10.4 Subtracting Rational Expressions 10.5 Solving Rational Equations 10.6 Proportions
 Similar Triangles 10.7 Variation 10.8 Simplifying Complex Rational Expressions    Taking it to the Lab: Climate Change Lab * Estimating p Lab    CHAPTER SUMMARY    Key Points of Chapter 10    Chapter 10 Review Exercises    Chapter 10 Test   11. More Radical Expressions and Equations 11.1 Adding and Subtracting Radical Expressions 11.2 Multiplying Radical Expressions 11.3 Solving Square Root Equations    CHAPTER SUMMARY    Key Points of Chapter 11    Chapter 11 Review Exercises    Chapter 11 Test    Cumulative Review of Chapters 1-11   A. Using a TI-83 or TI-84 Graphing Calculator A.1 Turning a Graphing Calculator On or Off A.2 Making the Screen Lighter or Darker A.3 Entering an Equation A.4 Graphing an Equation A.5 Tracing a Curve without a Scattergram A.6 Zooming A.7 Setting the Window Format A.8 Plotting Points in a Scattergram A.9 Tracing a Scattergram A.10 Graphing Equations with a Scattergram A.11 Tracing a Curve with a Scattergram A.12 Turning a Plotter On or Off A.13 Creating a Table A.14 Creating a Table for Two Equations A.15 Using "Ask" in a Table A.16 Plotting Points in Two Scattergrams A.17 Finding the Intersection Point(s) of Two Curves A.18 Finding the Minimum or Maximum of a Curve A.19 Finding any x-Intercepts of a Curve A.20 Turning an Equation On or Off A.21 Finding Coordinates of Points A.22 Entering an Equation by Using Yn References A.23 Responding to Error Messages   Answers to odd-numbered exercises Index