Index of Applications 

v  
Videotape and CD Index 

viii  
Index of Focus on RealData Applications 

ix  
Preface 

xi  
Feature WalkThrough 

xvii  
An Introduction to Calculators 

xxi  
To the Student: Success in Algebra 

xxvii  
Diagnostic Pretest 

xxix  


1  (22) 


1  (12) 


13  (10) 


23  (84) 

Exponents, Order of Operations, and Inequality 


24  (7) 

Variables, Expressions, and Equations 


31  (8) 

Real Numbers and the Number Line 


39  (8) 


47  (8) 


55  (10) 

Multiplying and Dividing Real Numbers 


65  (14) 

Summary Exercises on Operations with Real Numbers 


77  (2) 

Properties of Real Numbers 


79  (10) 


89  (18) 


95  (4) 


99  (6) 


105  (2) 

Equations, Inequalities, and Applications 


107  (86) 

The Addition Property of Equality 


108  (7) 

The Multiplication Property of Equality 


115  (6) 

More on Solving Linear Equations 


121  (12) 

Summary Exercises on Solving Linear Equations 


131  (2) 

An Introduction to Applications of Linear Equations 


133  (14) 

Formulas and Applications from Geometry 


147  (10) 

Ratio, Proportion, and Percent 


157  (14) 

Summary Exercises on Solving Applied Problems 


167  (4) 

Solving Linear Inequalities 


171  (22) 


181  (4) 


185  (4) 


189  (2) 

Cumulative Review Exercises 


191  (2) 

Graphs of Linear Equations and Inequalities in Two Variables 


193  (80) 

Reading Graphs; Linear Equations in Two Variables 


194  (15) 

Graphing Linear Equations in Two Variables 


209  (14) 


223  (12) 


235  (14) 

Summary Exercises on Graphing Linear Equations 


247  (2) 

Graphing Linear Inequalities in Two Variables 


249  (24) 


257  (4) 


261  (6) 


267  (4) 

Cumulative Review Exercises 


271  (2) 

Systems of Linear Equations and Inequalities 


273  (58) 

Solving Systems of Linear Equations by Graphing 


274  (9) 

Solving Systems of Linear Equations by Substitution 


283  (8) 

Solving Systems of Linear Equations by Elimination 


291  (10) 

Summary Exercises on Solving Systems of Linear Equations 


299  (2) 

Applications of Linear Systems 


301  (12) 

Solving Systems of Linear Inequalities 


313  (18) 


319  (4) 


323  (4) 


327  (2) 

Cumulative Review Exercises 


329  (2) 

Exponents and Polynomials 


331  (72) 

Adding and Subtracting Polynomials 


332  (9) 

The Product Rule and Power Rules for Exponents 


341  (8) 


349  (8) 


357  (6) 

Integer Exponents and the Quotient Rule 


363  (12) 

Summary Exercises on the Rules for Exponents 


373  (2) 

Dividing a Polynomial by a Monomial 


375  (4) 

Dividing a Polynomial by a Polynomial 


379  (6) 

An Application of Exponents: Scientific Notation 


385  (18) 


391  (4) 


395  (4) 


399  (2) 

Cumulative Review Exercises 


401  (2) 

Factoring and Applications 


403  (68) 

Factors; The Greatest Common Factor 


404  (9) 


413  (6) 

Factoring Trinomials by Grouping 


419  (4) 

Factoring Trinomials Using FOIL 


423  (6) 

Special Factoring Techniques 


429  (8) 

Summary Exercises on Factoring 


435  (2) 

Solving Quadratic Equations by Factoring 


437  (8) 

Applications of Quadratic Equations 


445  (26) 


457  (4) 


461  (6) 


467  (2) 

Cumulative Review Exercises 


469  (2) 

Rational Expressions and Applications 


471  (88) 

The Fundamental Property of Rational Expressions 


472  (9) 

Multiplying and Dividing Rational Expressions 


481  (8) 

Least Common Denominators 


489  (6) 

Adding and Subtracting Rational Expressions 


495  (10) 


505  (8) 

Solving Equations with Rational Expressions 


513  (14) 

Summary Exercises on Rational Expressions and Equations 


525  (2) 

Applications of Rational Expressions 


527  (12) 


539  (20) 


545  (6) 


551  (4) 


555  (2) 

Cumulative Review Exercises 


557  (2) 


559  (70) 


560  (11) 

Multiplying, Dividing, and Simplifying Radicals 


571  (10) 

Adding and Subtracting Radicals 


581  (4) 

Rationalizing the Denominator 


585  (8) 

More Simplifying and Operations with Radicals 


593  (12) 

Summary Exercises on Operations with Radicals 


603  (2) 

Solving Equations with Radicals 


605  (24) 


615  (4) 


619  (6) 


625  (2) 

Cumulative Review Exercises 


627  (2) 


629  (58) 

Solving Quadratic Equations by the Square Root Property 


630  (7) 

Solving Quadratic Equations by Completing the Square 


637  (8) 

Solving Quadratic Equations by the Quadratic Formula 


645  (10) 

Summary Exercises on Quadratic Equations 


653  (2) 

Graphing Quadratic Equations 


655  (8) 

Introduction to Functions 


663  (24) 


673  (4) 


677  (4) 


681  (2) 

Cumulative Review Exercises 


683  (4) 
Appendix A Strategies for Problem Solving 

687  (14) 
Appendix B Sets 

701  (6) 
Appendix C Mean, Median, and Mode 

707  (8) 
Appendix D Factoring Sums and Differences of Cubes 

715  
Answers to Selected Exercises 

1  (1) 
Index 

1  