Preface 

vii  
Feature WalkThrough 

xii  
An Introduction to Scientific Calculators 

xv  
To the Student: Success in Algebra 

xix  


1  (20) 


1  (12) 

Numbers in the Real World: Interpreting Stock Market Figures 


8  (5) 


13  (8) 


21  (88) 

Exponents, Order of Operations, and Inequality 


21  (8) 

Variables, Expressions, and Equations 


29  (8) 

Real Numbers and the Number Line 


37  (8) 


45  (8) 

Subtraction of Real Numbers 


53  (8) 

Multiplication of Real Numbers 


61  (8) 


69  (10) 

Numbers in the Real World: The Magic Number in Sports 


74  (5) 

Properties of Addition and Multiplication 


79  (12) 

Numbers in the Real World: Calendar Mathematics 


86  (5) 


91  (18) 


97  (4) 


101  (6) 


107  (2) 

Solving Equations and Inequalities 


109  (72) 

The Addition Property of Equality 


109  (6) 

The Multiplication Property of Equality 


115  (6) 

More on Solving Linear Equations 


121  (8) 

An Introduction to Applied Problems 


129  (10) 

Numbers in the Real World: Just How Is WindChill Factor Determined? 


134  (5) 

Formulas and Geometry Applications 


139  (10) 

Ratio and Proportion; Percent 


149  (10) 

Numbers in the Real World: The Changing Face of the United States 


154  (5) 

The Addition and Multiplication Properties of Inequality 


159  (22) 


169  (3) 

Numbers in the Real World: Calendar Mathematics: Number Patterns 


172  (1) 


173  (4) 


177  (2) 

Cumulative Review Exercises Chapters R2 


179  (2) 

Exponents and Polynomials 


181  (62) 

The Product Rule and Power Rules for Exponents 


181  (8) 

Numbers in the Real World: Do You Have the Knack for Percent? 


186  (3) 

Integer Exponents and the Quotient Rule 


189  (8) 

An Application of Exponents: Scientific Notation 


197  (4) 

Addition and Subtraction of Polynomials 


201  (10) 

Multiplication of Polynomials 


211  (6) 


217  (6) 

Division of a Polynomial by a Monomial 


223  (4) 

The Quotient of Two Polynomials 


227  (16) 


233  (2) 


235  (4) 


239  (2) 

Cumulative Review Exercises Chapters R3 


241  (2) 


243  (58) 

Factors; The Greatest Common Factor 


243  (8) 

Numbers in the Real World: Number Patterns in Our World 


248  (3) 


251  (6) 

Numbers in the Real World: Using Number Properties in Identification 


254  (3) 

More on Factoring Trinomials 


257  (8) 

Numbers in the Real World: The Influence of Spanish Coinage on Stock Prices 


262  (3) 


265  (8) 

Summary Exercises on Factoring 


271  (2) 

Solving Quadratic Equations by Factoring 


273  (8) 

Numbers in the Real World: Using Computers to Break Codes 


278  (3) 

Applications of Quadratic Equations 


281  (20) 


289  (2) 


291  (6) 


297  (2) 

Cumulative Review Exercises Chapters R4 


299  (2) 


301  (68) 

The Fundamental Property of Rational Expressions 


301  (8) 

Numbers in the Real World: The Dangers of Ultraviolet Rays 


306  (3) 

Multiplication and Division of Rational Expressions 


309  (6) 

Least Common Denominators 


315  (6) 

Numbers in the Real World: Statistics Require Careful Interpretation 


318  (3) 

Addition and Subtraction of Rational Expressions 


321  (8) 

Numbers in the Real World: Number Magic 


326  (3) 


329  (6) 

Equations Involving Rational Expressions 


335  (10) 

Numbers in the Real World: Geometry in Our World 


340  (3) 

Summary Exercises on Rational Expressions 


343  (2) 

Applications of Rational Expressions 


345  (24) 

Numbers in the Real World: Big Numbers in Our World (and Others)... And Just How Big Is a Googol? 


352  (5) 


357  (4) 


361  (4) 


365  (2) 

Cumulative Review Exercises Chapters R5 


367  (2) 

Linear Equations and Inequalities in Two Variables 


369  (70) 

Reading Graphs; Linear Equations in Two Variables 


369  (14) 

Numbers in the Real World: How Figures Can Be Used to Picture an Economy 


376  (7) 

Graphing Linear Equations in Two Variables 


383  (14) 

Numbers in the Real World: Some Facts and Figures on Children's Allowances 


390  (7) 


397  (10) 


407  (10) 

Graphing Linear Inequalities in Two Variables 


417  (22) 


425  (3) 

Numbers in the Real World: Risky Business 


428  (1) 


429  (4) 


433  (4) 

Cumulative Review Exercises Chapters R6 


437  (2) 

Linear Systems of Equations and Inequalities 


439  (52) 

Solving Systems of Linear Equations by Graphing 


439  (8) 

Solving Systems of Linear Equations by Addition 


447  (10) 

Solving Systems of Linear Equations by Substitution 


457  (8) 

Applications of Linear Systems 


465  (8) 

Solving Systems of Linear Inequalities 


473  (18) 


477  (2) 


479  (6) 


485  (2) 

Cumulative Review Exercises Chapters R7 


487  (4) 


491  (58) 


491  (10) 

Multiplication and Division of Radicals 


501  (8) 

Addition and Subtraction of Radicals 


509  (4) 

Rationalizing the Denominator 


513  (6) 

Simplifying Radical Expressions 


519  (8) 


527  (22) 

Numbers in the Real World: Are You a Good ``Guesstimator''? 


532  (5) 


537  (2) 


539  (6) 


545  (2) 

Cumulative Review Exercises Chapters R8 


547  (2) 


549  

Solving Quadratic Equations by the Square Root Property 


549  (6) 

Numbers in the Real World: A Mathematical Model of the Spread of AIDS 


552  (3) 

Solving Quadratic Equations by Completing the Square 


555  (8) 

Solving Quadratic Equations by the Quadratic Formula 


563  (10) 

Summary Exercises on Quadratic Equations 


571  (2) 

Graphing Quadratic Equations in Two Variables 


573  


579  (2) 


581  (4) 


585  (2) 

Cumulative Review Exercises Chapters R9 


587  
Answers to Selected Exercises 

A1  
Solutions to Selected Exercises 

A29  
Index 

I1  
Video Correlation Guide 

I7  