Preface 

xiii  
Acknowledgments 

xx  
To the Student 

xxviii  
Diagnostic Pretest 

xxx  

Real Numbers and Variables 


1  (62) 


2  (1) 


3  (10) 

Subtraction of Real Numbers 


13  (5) 

Multiplication and Division of Real Numbers 


18  (10) 


28  (3) 

Order of Arithmetic Operations 


31  (3) 

Using the Distributive Property to Simplify Expressions 


34  (5) 


39  (5) 

Using Substitution to Evaluate Expressions and Formulas 


44  (7) 

Putting Your Skills to Work: Measuring Your Level of Fitness 


50  (1) 


51  (12) 

Putting Your Skills to Work: Consumer Price Index 


55  (1) 


56  (1) 


57  (2) 

Chapter 1 Review Problems 


59  (3) 


62  (1) 

Equations, Inequalities, and Applications 


63  (78) 


64  (2) 


66  (6) 

The Multiplication Principle 


72  (6) 

Using the Addition and Multiplication Principles Together 


78  (7) 


85  (7) 


92  (7) 

Putting Your Skills to Work: Controlling Emissions Levels 


98  (1) 

Writing and Graphing Inequalities 


99  (5) 


104  (8) 

Solving Word Problems: Comparisons 


112  (6) 

Solving Word Problems: The Value of Money and Percents 


118  (23) 

Putting Your Skills to Work: Automobile Loans and Installment Loans 


128  (1) 


129  (1) 


130  (3) 

Chapter 2 Review Problems 


133  (4) 


137  (2) 

Cumulative Test for Chapters 12 


139  (2) 


141  (70) 


142  (2) 

Rectangular Coordinate Systems 


144  (10) 

Graphing Linear Equations 


154  (10) 


164  (14) 

Putting Your Skills to Work: Underwater Pressure 


176  (2) 

Obtaining the Equation of a Line 


178  (5) 

Graphing Linear Inequalities 


183  (5) 


188  (23) 

Putting Your Skills to Work: Graphing the Size of Rain Forests 


199  (1) 


200  (1) 


201  (2) 

Chapter 3 Review Problems 


203  (4) 


207  (2) 

Cumulative Test for Chapter 13 


209  (2) 

Systems of Linear Equations and Inequalities 


211  (50) 


212  (1) 

Systems of Equations in Two Variables 


213  (13) 

Putting Your Skills to Work: Endangered Species 


225  (1) 

Systems of Equations in Three Variables 


226  (7) 

Applications of Systems of Linear Equations 


233  (11) 

Systems of Linear Inequalities 


244  (17) 


251  (1) 


252  (2) 

Chapter 4 Review Problems 


254  (4) 


258  (1) 

Cumulative Test for Chapter 14 


259  (2) 

Exponents and Polynomials 


261  (58) 


262  (2) 


264  (9) 

Negative Exponents and Scientific Notation 


273  (9) 

Putting Your Skills to Work: The Mathematics of Forests 


281  (1) 

Fundamental Polynomial Operations 


282  (5) 

Multiplication of Polynomials 


287  (6) 

Multiplication: Special Cases 


293  (7) 

Putting Your Skills to Work: The Mathemetics of DNA 


299  (1) 


300  (19) 

Putting Your Skills to Work: The Enrollment Polynomial 


307  (1) 


308  (1) 


309  (2) 

Chapter 5 Review Problems 


311  (4) 


315  (1) 

Cumulative Test for Chapter 15 


316  (3) 


319  (52) 


320  (1) 

Introduction to Factoring 


321  (5) 


326  (4) 

Factoring Trinomials of the Form x2 + bx + c 


330  (7) 

Factoring Trinomials of the Form ax2 + bx + c 


337  (6) 

Special Cases of Factoring 


343  (5) 

A Brief Review of Factoring 


348  (4) 

Solving Quadratic Equations by Factoring 


352  (19) 

Putting Your Skills to Work: Predicting Total Earnings by a Mathematical Series 


360  (1) 


361  (1) 


362  (1) 

Chapter 6 Review Problems 


363  (3) 

Putting Your Skills to Work: The SumoftheDigits Depreciation Method 


366  (2) 


368  (1) 

Cumulative Test for Chapter 16 


369  (2) 

Rational Expressions and Equations 


371  (52) 


372  (1) 

Simplifying Rational Expressions 


373  (6) 

Multiplication and Division of Rational Expressions 


379  (5) 

Addition and Subtraction of Rational Expressions 


384  (10) 

Putting Your Skills to Work: Estimating the Surplus or Deficit 


392  (2) 

Simplifying Complex Rational Expressions 


394  (5) 

Equations Involving Rational Expressions 


399  (5) 

Ratio, Proportion, and Other Applied Problems 


404  (19) 

Putting Your Skills to Work: Mathematical Measurement of Planet Orbit Time 


412  (1) 


413  (1) 


414  (2) 

Chapter 7 Review Problems 


416  (3) 


419  (1) 

Cumulative Test for Chapter 17 


420  (3) 

Rational Exponents and Radicals 


423  (64) 


424  (1) 


425  (7) 

Radical Expressions and Functions 


432  (8) 

Simplifying, Adding, and Subtracting Radicals 


440  (5) 

Multiplication and Division of Radicals 


445  (9) 


454  (6) 


460  (8) 


468  (19) 


475  (1) 


476  (3) 

Putting Your Skills to Work: The Sailor's Observation Formula 


479  (1) 

Chapter 8 Review Problems 


480  (3) 


483  (2) 

Cumulative Test for Chapter 18 


485  (2) 

Quadratic Equations, Inequalities, and Absolute Value 


487  (76) 


488  (3) 


491  (6) 

The Quadratic Formula and Solutions to Quadratic Equations 


497  (8) 

Equations That Can Be Transformed into Quadratic Form 


505  (6) 

Formulas and Applications 


511  (10) 


521  (8) 

Quadratic Inequalities in One Variable 


529  (8) 

Putting Your Skills to Work: The Mathematics of the Hoover Dam 


536  (1) 


537  (5) 

Absolute Value Inequalities 


542  (21) 


549  (1) 


550  (3) 

Chapter 9 Review Problems 


553  (6) 


559  (2) 

Cumulative Test for Chapter 19 


561  (2) 


563  (58) 


564  (2) 

The Distance Formula and the Circle 


566  (8) 


574  (11) 


585  (8) 


593  (8) 

Nonlinear Systems of Equations 


601  (20) 

Putting Your Skills to Work: Locating the Center of an Earthquake Mathematically 


608  (2) 


610  (1) 


611  (3) 

Chapter 10 Review Problems 


614  (3) 


617  (2) 

Cumulative Test for Chapter 110 


619  (2) 

An Advanced Look at Functions 


621  (50) 


622  (2) 


624  (6) 

General Graphing Procedures for Functions 


630  (8) 

Algebraic Operations on Functions 


638  (8) 


646  (25) 


656  (1) 


657  (3) 

Putting Your Skills to Work: Using Polynomial Functions for Mathematical Modeling 


660  (2) 

Chapter 11 Review Problems 


662  (4) 


666  (2) 

Cumulative Test for Chapter 111 


668  (3) 

Logarithmic and Exponential Functions 


671  (55) 


672  (1) 


673  (9) 


682  (8) 


690  (7) 

Finding Logarithmic Function Values on a Calculator 


697  (7) 

Exponential and Logarithmic Equations 


704  (22) 

Putting Your Skills to Work: Newton's Law of Cooling 


715  (2) 


717  (1) 


718  (2) 

Chapter 12 Review Problems 


720  (3) 


723  (1) 

Cumulative Test for Chapter 112 


724  (2) 
Practice Final Examination 

726  
Glossary 

1  (2) 
Appendix A: Tables 


Table A1: Table of Sqaure Roots 


1  (1) 

Table A2: Table of Exponential Values 


2  (1) 
Appendix B: Mathematics Blueprint for Problem Solving 

3  (6) 
Appendix C: Interpreting Data from Tables, Charts, and Graphs 

9  (10) 
Appendix D: Inductive and Deductive Reasoning 

19  (7) 
Appendix E: Determinats and Cramer's Rule 

26  (8) 
Appendix F: Sets 

34  
Solutions to Practice Problems 

1  (1) 
Selected Answers 

1  (1) 
Applications Index 

1  (4) 
Subject Index 

5  
Photo Credits 

1  