

vi  

List of Focus on RealData Applications 


ix  
Preface 

xi  
Feature WalkThrough 

xvii  
An Introduction to Calculators 

xxi  
To the Student 

xxvii  
Diagnostic Pretest 

xxix  


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) 

Linear Equations and Applications 


105  (64) 

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  (22) 


157  (4) 


161  (4) 


165  (2) 

Cumulative Review Exercises: Chapters R2 


167  (2) 

Linear Inequalities and Absolute Value 


169  (52) 

Linear Inequalities in One Variable 


170  (15) 

Set Operations and Compound Inequalities 


185  (10) 

Absolute Value Equations and Inequalities 


195  (26) 

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities 


207  (2) 


209  (4) 


213  (4) 


217  (2) 

Cumulative Review Exercises: Chapters R3 


219  (2) 

Graphs of Linear Equations and Inequalities; Functions 


221  (100) 

Reading Graphs; Linear Equations in Two Variables 


222  (17) 

Graphing Linear Equations in Two Variables 


239  (14) 


253  (14) 


267  (14) 

Graphing Linear Inequalities in Two Variables 


281  (8) 

Introduction to Functions 


289  (32) 


303  (6) 


309  (6) 


315  (4) 

Cumulative Review Exercises: Chapters R4 


319  (2) 

Systems of Linear Equations 


321  (74) 

Solving Systems of Linear Equations by Graphing 


322  (9) 

Solving Systems of Linear Equations by Substitution 


331  (10) 

Solving Systems of Linear Equations by Elimination 


341  (10) 

Linear Systems of Equations in Three Variables 


351  (10) 

Applications of Linear Systems of Equations 


361  (14) 

Solving Linear Systems of Equations by Matrix Methods 


375  (20) 


383  (4) 


387  (4) 


391  (2) 

Cumulative Review Exercises: Chapters R5 


393  (2) 

Exponents and Polynomials 


395  (70) 

Adding and Subtracting Polynomials 


396  (9) 

The Product Rule and Power Rules for Exponents 


405  (8) 


413  (8) 


421  (6) 

Integer Exponents and the Quotient Rule 


427  (10) 

Dividing a Polynomial by a Monomial 


437  (4) 

The Quotient of Two Polynomials 


441  (6) 

An Application of Exponents: Scientific Notation 


447  (18) 


453  (4) 


457  (4) 


461  (2) 

Cumulative Review Exercises: Chapters R6 


463  (2) 

Factoring and Applications 


465  (72) 

Factors; The Greatest Common Factor 


466  (9) 


475  (6) 

Factoring Trinomials by Grouping 


481  (4) 

Factoring Trinomials Using FOIL 


485  (6) 

Special Factoring Techniques 


491  (12) 

Summary Exercises on Factoring 


501  (2) 

Solving Quadratic Equations by Factoring 


503  (8) 

Applications of Quadratic by Equations 


511  (26) 


523  (4) 


527  (6) 


533  (2) 

Cumulative Review Exercises: Chapters R7 


535  (2) 

Rational Expressions and Applications 


537  (76) 

Rational Expressions and Functions; Multiplying and Dividing 


538  (11) 

Adding and Subtracting Rational Expressions 


549  (10) 


559  (6) 

Graphs and Equations with Rational Expressions 


565  (10) 

Summary Exercises on Operations and Equations with Rational Expressions 


573  (2) 

Applications of Rational Expressions 


575  (14) 


589  (24) 


599  (4) 


603  (4) 


607  (2) 

Cumulative Review Exercises: Chapters R8 


609  (4) 


613  (76) 

Radical Expressions and Graphs 


614  (11) 


625  (10) 

Simplifying Radical Expressions 


635  (10) 

Adding and Subtracting Radical Expressions 


645  (4) 

Multiplying and Dividing Radical Expressions 


649  (10) 

Equations with Radical Expressions 


659  (8) 


667  (22) 


677  (4) 


681  (4) 


685  (2) 

Cumulative Review Exercises: Chapters R9 


687  (2) 

Quadratic Equations, Inequalities, and Graphs 


689  (96) 

Solving Quadratic Equations by the Square Root Property 


690  (7) 

Solving Quadratic Equations by Completing the Square 


697  (8) 

Solving Quadratic Equations by the Quadratic Formula 


705  (8) 

Equations Quadratic in Form 


713  (12) 

Formulas and Further Applications 


725  (8) 

Graphs of Quadratic Functions 


733  (12) 

More About Parabolas; Applications 


745  (12) 

Quadratic and Rational Inequalities 


757  (28) 


767  (4) 


771  (6) 


777  (4) 

Cumulative Review Exercises: Chapters R10 


781  (4) 

Exponential and Logarithmic Functions 


785  (70) 


786  (9) 


795  (8) 


803  (10) 


813  (8) 

Common and Natural Logarithms 


821  (8) 

Exponential and Logarithmic Equations; Further Applications 


829  (26) 


841  (4) 


845  (4) 


849  (2) 

Cumulative Review Exercises: Chapters R11 


851  (4) 

Nonlinear Functions, Conic Sections, and Nonlinear Systems 


855  

Additional Graphs of Functions; Operations and Composition 


856  (11) 

The Circle and the Ellipse 


867  (10) 

The Hyperbola and Other Functions Defined by Radicals 


877  (10) 

Nonlinear Systems of Equations 


887  (10) 

SecondDegree Inequalities and Systems of Inequalities 


897  


905  (4) 


909  (6) 


915  (4) 

Cumulative Review Exercises: Chapters R12 


919  
Appendix A Sets 

1  (6) 
Appendix B Determinants and Cramer's Rule 

7  (10) 
Appendix C Synthetic Division 

17  (6) 
Appendix D Review of Exponents, Polynomials, and Factoring 

23  (8) 
Answers to Selected Exercises 

31  
Index 

1  