

vii  

List of Focus on RealData Applications 


xi  
Preface 

xiii  
Feature WalkThrough 

xix  
An Introduction to Calculators 

xxiii  
To the Student 

xxix  
Diagnostic Pretest 

xxxi  


1  (24) 


1  (14) 


15  (10) 


25  (80) 

Exponents, Order of Operations, and Inequality 


26  (7) 

Variables, Expressions, and Equations 


33  (8) 

Real Numbers and the Number Line 


41  (8) 


49  (8) 

Subtraction of Real Numbers 


57  (8) 

Multiplication and Division of Real Numbers 


65  (12) 

Properties of Real Numbers 


77  (10) 


87  (18) 


93  (4) 


97  (6) 


103  (2) 

Equations, Inequalities, and Applications 


105  (78) 

The Addition Property of Equality 


106  (7) 

The Multiplication Property of Equality 


113  (6) 

More on Solving Linear Equations 


119  (8) 

An Introduction to Applications of Linear Equations 


127  (10) 

Formulas and Applications from Geometry 


137  (10) 

Ratio, Proportion, and Percent 


147  (14) 

Summary Exercises on Solving Applied Problems 


157  (4) 

Solving Linear Inequalities 


161  (22) 


171  (4) 


175  (4) 


179  (2) 

Cumulative Review Exercises: Chapter R2 


181  (2) 

Graphs of Linear Equations and Inequalities in Two Variables 


183  (78) 

Reading Graphs; Linear Equations in Two Variables 


184  (17) 

Graphing Linear Equations in Two Variables 


201  (14) 


215  (10) 


225  (12) 

Graphing Linear Inequalities in Two Variables 


237  (24) 


245  (4) 


249  (6) 


255  (4) 

Cumulative Review Exercises: Chapter R3 


259  (2) 

Exponents and Polynomials 


261  (70) 

Adding and Subtracting Polynomials 


262  (9) 

The Product Rule and Power Rules for Exponents 


271  (8) 


279  (8) 


287  (6) 

Integer Exponents and the Quotient Rule 


293  (10) 

Dividing a Polynomial by a Monomial 


303  (4) 

The Quotient of Two Polynomials 


307  (6) 

An Application of Exponents: Scientific Notation 


313  (18) 


319  (4) 


323  (4) 


327  (2) 

Cumulative Review Exercises: Chapter R4 


329  (2) 

Factoring and Applications 


331  (68) 

Factors; The Greatest Common Factor 


332  (9) 


341  (6) 

Factoring Trinomials by Grouping 


347  (4) 

Factoring Trinomials Using FOIL 


351  (6) 

Special Factoring Techniques 


357  (8) 

Summary Exercises on Factoring 


363  (2) 

Solving Quadratic Equations by Factoring 


365  (8) 

Applications of Quadratic Equations 


373  (26) 


385  (4) 


389  (6) 


395  (2) 

Cumulative Review Exercises: Chapter R5 


397  (2) 

Rational Expressions and Applications 


399  (86) 

The Fundamental Property of Rational Expressions 


400  (9) 

Multiplying and Dividing Rational Expressions 


409  (8) 

Least Common Denominators 


417  (6) 

Adding and Subtracting Rational Expressions 


423  (10) 


433  (8) 

Solving Equations with Rational Expressions 


441  (12) 

Summary Exercises on Operations and Equations with Rational Expressions 


451  (2) 

Applications of Rational Expressions 


453  (12) 


465  (20) 


471  (6) 


477  (4) 


481  (2) 

Cumulative Review Exercises: Chapter R6 


483  (2) 

Systems of Equations and Inequalities 


485  (60) 

Solving Systems of Linear Equations by Graphing 


486  (9) 

Solving Systems of Linear Equations by Substitution 


495  (10) 

Solving Systems of Linear Equations by Elimination 


505  (10) 

Applications of Linear Systems 


515  (10) 

Solving Systems of Linear Inequalities 


525  (20) 


531  (4) 


535  (4) 


539  (2) 

Cumulative Review Exercises: Chapter R7 


541  (4) 


545  (68) 


546  (11) 

Multiplying, Dividing, and Simplifying Radicals 


557  (10) 

Adding and Subtracting Radicals 


567  (4) 

Rationalizing the Denominator 


571  (8) 

More Simplifying and Operations with Radicals 


579  (10) 

Solving Equations with Radicals 


589  (24) 


599  (4) 


603  (6) 


609  (2) 

Cumulative Review Exercises: Chapter R8 


611  (2) 


613  (58) 

Solving Quadratic Equations by the Square Root Property 


614  (7) 

Solving Quadratic Equations by Completing the Square 


621  (8) 

Solving Quadratic Equations by the Quadratic Formula 


629  (10) 

Summary Exercises on Quadratic Equations 


637  (2) 

Graphing Quadratic Equations 


639  (8) 

Introduction to Functions 


647  (24) 


657  (4) 


661  (4) 


665  (2) 

Cumulative Review Exercises: Chapter R9 


667  (4) 
Appendix A Sets 

671  (6) 
Appendix B Factoring Sums and Differences of Cubes 

677  
Answers to Selected Exercises 

1  (1) 
Index 

1  (6) 
Video Index 

7  