Preface 

xi  (8) 
An Introduction to Calculators 

xix  

CHAPTER 1 Review of the Real Number System 


1  (44) 


2  (13) 

1.2 Operations on Real Numbers 


15  (12) 

1.3 Properties of Real Numbers 


27  (8) 


35  (2) 


37  (3) 

Chapter 1 Review Exercises 


40  (3) 


43  (2) 

CHAPTER 2 Linear Equations and Inequalities 


45  (80) 

2.1 Linear Equations in One Variable 


46  (8) 


54  (8) 

2.3 Applications of Linear Equations 


62  (13) 

2.4 More Applications of Linear Equations 


75  (9) 

2.5 Linear Inequalities in One Variable 


84  (10) 

2.6 Set Operations and Compound Inequalities 


94  (8) 

2.7 Absolute Value Equations and Inequalities 


102  (8) 

Summary: Exercises on Solving Linear and Absolute Value Equations and Inequalities 


110  (1) 


111  (1) 


112  (4) 

Chapter 2 Review Exercises 


116  (4) 


120  (2) 

Cumulative Review Exercises Chapters 12 


122  (3) 

CHAPTER 3 Graphs, Linear Equations, and Functions 


125  (82) 

3.1 The Rectangular Coordinate System 


126  (11) 


137  (14) 

3.3 Linear Equations in Two Variables 


151  (14) 

3.4 Linear Inequalities in Two Variables 


165  (7) 

3.5 Introduction to Functions 


172  (14) 


186  (9) 


195  (1) 


196  (3) 

Chapter 3 Review Exercises 


199  (4) 


203  (2) 

Cumulative Review Exercises Chapters 13 


205  (2) 

CHAPTER 4 Systems of Linear Equations 


207  (71) 

4.1 Linear Systems of Equations in Two Variables 


208  (12) 

4.2 Linear Systems of Equations in Three Variables 


220  (7) 

4.3 Applications of Linear Systems of Equations 


227  (15) 

4.4 Solving Linear Systems of Equations by Matrix Methods 


242  (10) 

4.5 Determinants and Cramer's Rule 


252  (12) 


264  (1) 


265  (5) 

Chapter 4 Review Exercises 


270  (4) 


274  (2) 

Cumulative Review Exercises Chapters 14 


276  (2) 

CHAPTER 5 Exponents and Polynomials 


278  (83) 

5.1 Integer Exponents and Scientific Notation 


279  (14) 

5.2 Addition and Subtraction of Polynomials 


293  (6) 


299  (8) 

5.4 Multiplication of Polynomials 


307  (8) 

5.5 Greatest Common Factors; Factoring by Grouping 


315  (7) 


322  (7) 


329  (6) 

5.8 General Methods of Factoring 


335  (4) 

5.9 Solving Equations by Factoring 


339  (10) 


349  (1) 


350  (3) 

Chapter 5 Review Exercises 


353  (5) 


358  (1) 

Cumulative Review Exercises Chapters 15 


359  (2) 

CHAPTER 6 Rational Expressions 


361  (71) 

6.1 Rational Expressions and Functions; Multiplication and Division 


362  (10) 

6.2 Addition and Subtraction of Rational Expressions 


372  (8) 


380  (5) 

6.4 Division of Polynomials 


385  (7) 


392  (5) 

6.6 Graphs and Equations with Rational Expressions 


397  (8) 

Summary: Exercises on Operations and Equations with Rational Expressions 


405  (1) 

6.7 Applications of Rational Expressions 


406  (12) 


418  (1) 


419  (4) 

Chapter 6 Review Exercises 


423  (4) 


427  (2) 

Cumulative Review Exercises Chapters 16 


429  (3) 

CHAPTER 7 Roots and Radicals 


432  (67) 

7.1 Rational Exponents and Radicals 


433  (10) 

7.2 Simplifying Radical Expressions 


443  (11) 

7.3 Addition and Subtraction of Radical Expressions 


454  (6) 

7.4 Multiplication and Division of Radical Expressions 


460  (8) 

7.5 Graphs and Equations with Radical Expressions 


468  (11) 


479  (8) 


487  (1) 


488  (4) 

Chapter 7 Review Exercises 


492  (4) 


496  (1) 

Cumulative Review Exercises Chapters 17 


497  (2) 

CHAPTER 8 Quadratic Equations and Inequalities 


499  (82) 

8.1 Completing the Square 


500  (8) 

8.2 The Quadratic Formula 


508  (11) 

8.3 Equations Quadratic in Form 


519  (9) 

8.4 Formulas and Applications 


528  (10) 

8.5 Graphs of Quadratic Functions 


538  (10) 

8.6 More about Parabolas; Applications 


548  (12) 

8.7 Nonlinear Inequalities 


560  (7) 


567  (1) 


568  (4) 

Chapter 8 Review Exercises 


572  (5) 


577  (1) 

Cumulative Review Exercises Chapters 18 


578  (3) 

CHAPTER 9 Inverse, Exponential, and Logarithmic Functions 


581  (68) 


582  (10) 

9.2 Exponential Functions 


592  (10) 

9.3 Logarithmic Functions 


602  (8) 

9.4 Properties of Logarithms 


610  (8) 

9.5 Evaluating Logarithms 


618  (10) 

9.6 Exponential and Logarithmic Equations; Applications 


628  (8) 


636  (1) 


637  (4) 

Chapter 9 Review Exercises 


641  (4) 


645  (2) 

Cumulative Review Exercises Chapters 19 


647  (2) 

CHAPTER 10 Conic Sections 


649  (47) 

10.1 The Circle and the Ellipse 


650  (8) 

10.2 The Hyperbola; More on Square Root Functions 


658  (11) 

10.3 Nonlinear Systems of Equations 


669  (9) 

10.4 SecondDegree Inequalities; Systems of Inequalities 


678  (7) 

Chapter 10 Group Activity 


685  (1) 


686  (4) 

Chapter 10 Review Exercises 


690  (2) 


692  (1) 

Cumulative Review Exercises Chapters 110 


693  (3) 

CHAPTER 11 Sequences and Series 


696  

11.1 Sequences and Series 


697  (8) 

11.2 Arithmetic Sequences 


705  (7) 


712  (11) 

11.4 The Binomial Theorem 


723  (7) 

Chapter 11 Group Activity 


730  (1) 


731  (2) 

Chapter 11 Review Exercises 


733  (3) 


736  (1) 

Cumulative Review Exercises Chapters 111 


737  
Answers to Selected Exercises 

A1  
Index 

I1  
Index of Applications 

I9  