List of Applications 

vii  
Preface 

xi  
Walkthrough 

xix  

1 Real Numbers and Algebra 


1  (71) 

1.1 Describing Data with Sets of Numbers 


2  (11) 

Group Activity: Working with Real Data 


12  (1) 

1.2 Operations on Real Numbers 


13  (11) 

Checking Basic Concepts for Sections 1.1 and 1.2 


24  (1) 


24  (17) 

Group Activity: Working with Real Data 


40  (1) 

1.4 Modeling Data with Formulas 


41  (9) 

Checking Basic Concepts for Sections 1.3 and 1.4 


50  (1) 

1.5 Visualization of Data 


50  (15) 

Checking Basic Concepts for Section 1.5 


64  (1) 


65  

CHAPTER 1 REVIEW EXERCISES 


61  (15) 

CHAPTER 1 REVIEW EXERCISES 


76  

CHAPTER 1 EXTENDED AND DISCOVERY EXERCISES 


71  (1) 

2 Linear Functions and Model 


72  (68) 

2.1 Functions and Their Representations 


73  (15) 


88  (14) 

Checking Basic Concepts for Sections 2.1 and 2.2 


101  (1) 


102  (14) 

Group Activity: Working with Real Data 


115  (1) 

2.4 Equations of Lines and Linear Models 


116  (15) 

Checking Basic Concepts for Sections 2.3 and 2.4 


130  (1) 


131  (2) 

CHAPTER 2 REVIEW EXERCISES 


133  (3) 


136  (2) 

CHAPTER 2 EXTENDED AND DISCOVERY EXERCISES 


138  (2) 

3 Linear Equations and Inequalities 


140  (58) 


141  (14) 

Group Activity: Working with Real Data 


155  (1) 


155  (12) 

Checking Basic Concepts for Sections 3.1 and 3.2 


167  (1) 

3.3 Compound Inequalities 


167  (11) 

Group Activity: Working with Real Data 


178  (1) 

3.4 Absolute Value Equations and Inequalities 


178  (10) 

Checking Basic Concepts for Sections 3.3 and 3.4 


188  (1) 


188  (2) 

CHAPTER 3 REVIEW EXERCISES 


190  (5) 


195  (1) 

CHAPTER 3 EXTENDED AND DISCOVERY EXERCISES 


196  (2) 

4 Systems Of Linear Equations 


198  (76) 

4.1 Systems of Linear Equations in Two Variables 


199  (12) 

4.2 The Substitution and Elimination Methods 


211  (12) 

Checking Basic Concepts for Sections 4.1 and 4.2 


222  (1) 

4.3 Systems of Linear Inequalities 


223  (9) 

Group Activity: Working with Real Data 


232  (1) 

4.4 Systems of Equations in Three Variables 


232  (12) 

Checking Basic Concepts for Sections 4.3 and 4.4 


244  (1) 

4.5 Matrix Solutions of Linear Systems 


244  (13) 

Group Activity: Working with Real Data 


256  (1) 


257  (8) 

Checking Basic Concepts for Sections 4.5 and 4.6 


265  (1) 


265  (2) 

CHAPTER 4 REVIEW EXERCISES 


267  (4) 


271  (1) 

CHAPTER 4 EXTENDED AND DISCOVERY EXERCISES 


272  (2) 

5 Polynomial Expressions And Functions 


274  (66) 

5.1 Polynomial Expressions 


275  (11) 

Group Activity: Working with Real Data 


286  (1) 

5.2 Polynomial Functions and Models 


286  (10) 

Checking Basic Concepts for Sections 5.1 and 5.2 


296  (1) 

5.3 Multiplication of Polynomials 


296  (9) 

5.4 Factoring Polynomials 


305  (8) 

Checking Basic Concepts for Sections 5.3 and 5.4 


313  (1) 


313  (10) 

Group Activity: Working with Real Data 


322  (1) 

5.6 Special Types of Factoring 


323  (7) 

Checking Basic Concepts for Sections 5.5 and 5.6 


330  (1) 


330  (2) 

CHAPTER 5 REVIEW EXERCISES 


332  (3) 


335  (1) 

CHAPTER 5 EXTENDED AND DISCOVERY EXERCISES 


336  (4) 

6 Quadratic Functions and Equations 



6.1 Quadratic Functions and Their Graphs 


340  (16) 

Group Activity: Working with Real Data 


355  (1) 


356  (12) 

Checking Basic Concepts for Sections 6.1 and 6.2 


368  (1) 

6.3 The Quadratic Formula 


368  (10) 

Checking Basic Concepts for Sections 6.3 and 6.4 


388  

6.4 Quadratic Inequalities 


378  (11) 

Checking Basic Concepts for Sections 6.3 and 6.4 


388  (1) 


389  (2) 

CHAPTER 6 REVIEW EXERCISES 


391  (4) 


395  (2) 

CHAPTER 6 EXTENDED AND DISCOVERY EXERCISES 


397  (2) 

7 Rational Expressions and Functions 


399  (68) 

7.1 Rational Functions and Equations 


400  (12) 

Group Activity: Working with Real Data 


411  (1) 

7.2 Multiplication and Division of Rational Expressions 


412  (12) 

Checking Basic Concepts for Sections 7.1 and 7.2 


424  (1) 

7.3 Addition and Subtraction of Rational Expressions 


424  (10) 

7.4 Modeling with Proportions and Variation 


434  (15) 

Checking Basic Concepts for Sections 7.3 and 7.4 


449  (1) 

7.5 Division of Polynomials 


449  (8) 

Checking Basic Concepts for Section 7.5 


457  (1) 


457  (2) 

CHAPTER 7 REVIEW EXERCISES 


459  (4) 


463  (1) 

CHAPTER 7 EXTENDED AND DISCOVERY EXERCISES 


464  (3) 

8 Radical Expressions and Functions 


467  (60) 

8.1 Radical Expressions and Rational Exponents 


468  (11) 


479  (10) 

Checking Basic Concepts for Sections 8.1 and 8.2 


489  (1) 

8.3 Operations on Radical Expressions 


489  (8) 

Group Activity: Working with Real Data 


496  (1) 

8.4 Equations Involving Radical Expressions 


497  (13) 

Checking Basic Concepts for Sections 8.3 and 8.4 


510  (1) 


510  (9) 

Checking Basic Concepts for Section 8.5 


519  (1) 


519  (3) 

CHAPTER 8 REVIEW EXERCISES 


522  (2) 


524  (1) 

CHAPTER 8 EXTENDED AND DISCOVERY EXERCISES 


525  (2) 


527  

9.1 Parabolas and Circles 


528  (12) 

Group Activity: Working with Real Data 


540  (1) 

9.2 Ellipses and Hyperbolas 


540  (12) 

Checking Basic Concepts for Sections 9.1 and 9.2 


551  (1) 

9.3 Nonlinear Systems of Equations and Inequalities 


552  

Checking Basic Concepts for Section 9.3 


563  


519  (3) 

CHAPTER 9 REVIEW EXERCISES 


522  (2) 


524  (1) 

CHAPTER 9 EXTENDED AND DISCOVERY EXERCISES 


525  (49) 
10 Exponential and Logarithmic Functions 


10.1 Exponential Functions 


574  (14) 

Group Activity: Working with Real Data 


587  (1) 

10.2 Logarithmic Functions 


588  (11) 

Checking Basic Concepts for Sections 10.1 and 10.2 


599  (1) 

10.3 Properties of Logarithms 


599  (8) 

10.4 Exponential and Logarithmic Models 


607  (13) 

Checking Basic Concepts for Sections 10.3 and 10.4 


620  (1) 


620  (2) 

CHAPTER 10 REVIEW EXERCISES 


622  (3) 


625  (1) 

CHAPTER 10 EXTENDED AND DISCOVERY EXERCISES 


626  (2) 
11 Sequences and Series 

628  


629  (9) 

11.2 Arithmetic and Geometric Sequences 


638  (12) 

Checking Basic Concepts for Sections 11.1 and 11.2 


649  (1) 


650  (11) 

Group Activity: Working with Real Data 


660  (1) 

11.4 The Binomial Theorem 


661  (6) 

Checking Basic Concepts for Sections 11.3 and 11.4 


667  (1) 


667  (2) 

CHAPTER 11 REVIEW EXERCISES 


669  (2) 


671  (1) 

CHAPTER 11 EXTENDED AND DISCOVERY EXERCISES 


672  
Answers to Selected Exercises 

A1  
Glossary 

G1  
Index 

I1  
Bibliography 

B1  
Graphing Calculator Laboratory Manual Topics 

GC1  