

ix  
Preface 

xiii  
Feature Walkthrough 

xxi  

Review of the Real Number Systems 


1  (48) 


2  (13) 

Operations on Real Numbers 


15  (9) 

Exponents, Roots, and Order of Operations 


24  (8) 

Properties of Real Numbers 


32  (17) 

Chapter 1 Group Activity How Americans Spend Their Money 


40  (1) 


41  (3) 

Chapter 1 Review Exercises 


44  (3) 


47  (2) 

Linear Equations, Inequalities, and Applications 


49  (88) 

Linear Equations in One Variable 


50  (7) 


57  (11) 

Applications of Linear Equations 


68  (13) 

Further Applications of Linear Equations 


81  (11) 

Summary Exercises on Solving Applied Problems 


90  (2) 

Linear Inequalities in One Variable 


92  (12) 

Set Operations and Compound Inequalities 


104  (8) 

Absolute Value Equations and Inequalities 


112  (25) 

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities 


121  (1) 

Chapter 2 Group Activity Comparing LongDistance Costs 


122  (2) 


124  (4) 

Chapter 2 Review Exercises 


128  (6) 


134  (1) 

Cumulative Review Exercises Chapters 12 


135  (2) 

Graphs, Linear Eqations, and Functions 


137  (86) 

The Rectangular Coordinate Systems 


138  (11) 


149  (13) 

Linear Equations in Two Variables 


162  (15) 

Linear Inequalities in Two Variables 


177  (7) 

Introduction to Functions 


184  (15) 


199  (24) 

Chapter 3 Group Activity Choosing an Energy Source 


210  (1) 


211  (3) 

Chapter 3 Review Exercises 


214  (5) 


219  (2) 

Cumulative Review Exercises Chapters 13 


221  (2) 

Systems of Linear Equations 


223  (60) 

Systems of Linear Equations in Two Variables 


224  (14) 

Systems of Linear Equations in Three Variables 


238  (9) 

Applications of Systems of Linear Equations 


247  (14) 

Solving Systems of Linear Equaions by Matrix Methods 


261  (22) 



Creating Linear Models to Analyze the Number of AIDS Patients 


270  (2) 


272  (4) 

Chapter 4 Review Exercises 


276  (3) 


279  (2) 

Cumulative Review Exercises Chapters 14 


281  (2) 

Exponents, Polynomials, and Polynomial Functions 


283  (54) 

Integer Exponents and Scientific Notation 


284  (15) 

Adding and Subtracting Polynomials 


299  (5) 


304  (7) 


311  (8) 


319  (18) 

Chapter 5 Group Activity Comparing Mathematical Models 


326  (1) 


327  (3) 

Chapter 5 Review Exercises 


330  (3) 


333  (1) 

Cumulative Review Exercises Chapters 15 


334  (3) 


337  (42) 

Greatest Common Factors; Factoring by Grouping 


338  (5) 


343  (8) 


351  (5) 

A General Approach to Factoring 


356  (4) 

Solving Equations by Factoring 


360  (19) 

Chapter 6 Group Activity Finding the Height of a Propelled Object 


370  (1) 


371  (2) 

Chapter 6 Review Exercises 


373  (2) 


375  (1) 

Cumulative Review Exercises Chapters 16 


376  (3) 

Rational Expressions and Functions 


379  (62) 

Rational Expressions and Functions; Multiplying and Dividing 


380  (9) 

Adding and Subtracting Rational Expressions 


389  (10) 


399  (6) 

Equations with Rational Expression and Graphs 


405  (10) 

Summary Exercises on Operations and Equations with Rational Expressions 


413  (2) 

Applications of Rational Expressions 


415  (26) 

Chapter 7 Group Activity It Depends on What You Mean by ``Average'' 


427  (2) 


429  (4) 

Chapter 7 Review Exercises 


433  (3) 


436  (1) 

Cumulative Review Exercises Chapters 17 


437  (4) 

Roots, Radicals, and Root Functions 


441  (76) 

Radical Expressions and Graphs 


442  (8) 


450  (8) 

Simplifying Radical Expressions 


458  (11) 

Adding and Subtracting Radical Expressions 


469  (6) 

Multiplying and Dividing Radical Expressions 


475  (10) 

Summary Exercises on Operations with Radicals 


484  (1) 

Sovling Equations with Radicals 


485  (8) 


493  (24) 

Chapter 8 Group Activity Solar Electricity 


503  (1) 


504  (3) 

Chapter 8 Review Exercises 


507  (5) 


512  (1) 

Cumulative Review Exercises Chapters 18 


513  (4) 

Quadratic Equations, Inequalities, and Functions 


517  (88) 

The Square Root Property and Completing the Square 


518  (10) 


528  (8) 

Equations Quadratic in Form 


536  (12) 

Summary Exercises on Solving Quadratic Equations 


547  (1) 

Formulas and Further Applications 


548  (9) 

Graphs of Quadratic Functions 


557  (12) 

More about Parabolas; Applications 


569  (12) 

Quadratic and Rational Inequalities 


581  (24) 

Chapter 9 Group Activity Finding the Path of a Comet 


590  (1) 


591  (4) 

Chapter 9 Review Exercises 


595  (5) 


600  (2) 

Cumulative Review Exercises Chapters 19 


602  (3) 

Inverse, Exponential, and Logarithmic Functions 


605  (74) 


606  (9) 


615  (10) 


625  (8) 


633  (9) 

Common and Natural Logarithms 


642  (9) 

Exponential and Logarithmic Equations; Further Applications 


651  (28) 

Chapter 10 Group Activity How Much Space Do We Need? 


662  (2) 


664  (4) 

Chapter 10 Review Exercises 


668  (5) 


673  (2) 

Cumulative Review Exercises Chapters 110 


675  (4) 

Nonlinear Functions, Conic Sections, and Nonlinear Systems 


679  (52) 

Additional Graphs of Functions; Composition 


680  (7) 

The Circle and the Ellipse 


687  (9) 

The Hyperbola and Functions Defined by Radicals 


696  (10) 

Nonlinear Systems of Equations 


706  (8) 

SecondDegree Inequalities and Systems of Inequalities 


714  (17) 

Chapter 11 Group Activity Finding the Paths of Natural Satellites 


719  (1) 


720  (4) 

Chapter 11 Review Exercises 


724  (2) 


726  (1) 

Cumulative Review Exercises Chapters 111 


727  (4) 


731  (44) 


732  (7) 


739  (8) 


747  (11) 


758  (17) 

Chapter 12 Group Activity Investing for the Future 


764  (1) 


765  (3) 

Chapter 12 Review Exercises 


768  (2) 


770  (1) 

Cumulative Review Exercises Chapters 112 


771  (4) 
Appendix A An Introduction to Calculators 

775  (6) 
Appendix B Determinants and Cramer's Rule 

781  (14) 
Appendix C Synthetic Division 

795  
Answers to Selected Exercises 

A1  
Glossary 

G1  
Index 

I1  
Videotape and CD Index 

I12  