Preface to the Student 

xiii  (10) 
Acknowledgments 

xxiii  (2) 
Diagnostic Pretest 

xxv  


1  (56) 
Pretest Chapter 1 

2  (1) 

1.1 The Real Number System 


3  (7) 

1.2 Operations with Real Numbers 


10  (8) 

1.3 Powers, Square Roots, and the Order of Operations 


18  (7) 

1.4 Integer Exponents and Scientific Notation 


25  (11) 

1.5 Operations with Variables and Grouping Symbols 


36  (6) 

1.6 Evaluating Variable Expressions and Formulas 


42  (8) 

Putting Your Skills to Work: The Mathematics of the Planets 


50  (1) 


51  (2) 

Chapter 1 Review Problems 


53  (2) 


55  (2) 

CHAPTER 2 Linear Equations and Inequalities 


57  (72) 
Pretest Chapter 2 

58  (2) 

2.1 Firstdegree Equations with One Unknown 


60  (8) 

2.2 Literal Equations and Formulas 


68  (6) 

2.3 Absolute Value Equations 


74  (5) 

Putting Your Skills to Work: The Mathematics of Fuel Efficiency 


79  (1) 

2.4 Using Equations to Solve Word Problems 


80  (8) 

2.5 Solving More Involved Word Problems 


88  (8) 


96  (10) 

2.7 Compound Inequalities 


106  (6) 

2.8 Absolute Value Inequalities 


112  (8) 


120  (2) 

Chapter 2 Review Problems 


122  (5) 

Cumulative Test for Chapters 1 and 2 


127  (2) 

CHAPTER 3 Equations, Inequalities, and Functions 


129  (68) 
Pretest Chapter 3 

130  (2) 

3.1 Graphing Linear Equations with Two Unknowns 


132  (9) 


141  (8) 

3.3 Graphs and the Equations of a Line 


149  (9) 

Putting Your Skills to Work: Determining the Demand for a Product 


158  (1) 

3.4 Linear Inequalities in Two Variables 


159  (6) 

3.5 Concept of a Function 


165  (8) 

3.6 Graphing Functions from Equations and Tables 


173  (14) 


187  (2) 

Chapter 3 Review Problems 


189  (4) 


193  (2) 

Cumulative Test for Chapters 13 


195  (2) 

CHAPTER 4 Systems of Linear Equations and Inequalities 


197  (72) 
Pretest Chapter 4 

198  (2) 

4.1 Systems of Equations in Two Variables 


200  (13) 

Putting Your Skills to Work: The Mathematics of Bricklaying 


213  (1) 

4.2 Systems of Equations in Three Variables 


214  (7) 

4.3 Applications of Systems of Linear Equations 


221  (12) 


233  (9) 

4.5 Cramer's Rule (Optional) 


242  (10) 

4.6 Systems of Linear Inequalities 


252  (7) 


259  (3) 

Chapter 4 Review Problems 


262  (3) 


265  (2) 

Cumulative Test for Chapters 14 


267  (2) 


269  (64) 
Pretest Chapter 5 

270  (2) 

5.1 Addition, Subtraction, and Multiplication of Polynomials 


272  (7) 

5.2 Division of Polynomials 


279  (6) 


285  (4) 

5.4 Removing Common Factors; Factoring by Grouping 


289  (6) 


295  (9) 

5.6 Special Cases of Factoring 


304  (7) 

5.7 Completely Factoring a Polynomial 


311  (4) 

5.8 Solving Equations and Problems Using Polynomials 


315  (9) 

Putting Your Skills to Work: Using Polynomials to Count Cannonballs 


324  (1) 


325  (1) 

Chapter 5 Review Problems 


326  (3) 


329  (2) 

Cumulative Test for Chapters 15 


331  (2) 

CHAPTER 6 Rational Algebraic Expressions and Equations 


333  (50) 
Pretest Chapter 6 

334  (1) 

6.1 Simplifying, Multiplying, and Dividing Rational Expressions 


335  (8) 

6.2 Addition and Subtraction of Rational Expressions 


343  (8) 

6.3 Complex Rational Expressions 


351  (6) 


357  (6) 

6.5 Applications: Formulas and Ratio Problems 


363  (9) 

Putting Your Skills to Work: Signal Strength of Cell Phones 


372  (1) 


373  (2) 

Chapter 6 Review Problems 


375  (4) 


379  (2) 

Cumulative Test for Chapters 16 


381  (2) 

CHAPTER 7 Rational Exponents and Radicals 


383  (60) 
Pretest Chapter 7 

384  (1) 


385  (6) 


391  (7) 

7.3 Simplifying, Adding, and Subtracting Radicals 


398  (5) 

7.4 Multiplication and Division of Radicals 


403  (10) 


413  (5) 


418  (7) 


425  (7) 


432  (3) 

Putting Your Skills to Work: Determining the Rate of Depreciation 


435  (1) 

Chapter 7 Review Problems 


436  (3) 


439  (2) 

Cumulative Test for Chapters 17 


441  (2) 

CHAPTER 8 Quadratic Equations and Inequalities 


443  (60) 
Pretest Chapter 8 

444  (2) 

8.1 Solving Quadratic Equations by Taking Square Roots or Completing the Square 


446  (7) 

8.2 The Quadratic Formula 


453  (9) 

8.3 Equations That Can Be Transformed to Quadratic Form 


462  (6) 

8.4 Formulas and Applications 


468  (11) 

Putting Your Skills to Work: A Mathematical Look at Traffic Flow 


479  (1) 


480  (6) 

8.6 Quadratic Inequalities 


486  (6) 


492  (3) 

Chapter 8 Review Problems 


495  (4) 


499  (2) 

Cumulative Test for Chapters 18 


501  (2) 

CHAPTER 9 The Conic Sections 


503  (54) 
Pretest Chapter 9 

504  (2) 

9.1 The Distance Formula and the Circle 


506  (8) 


514  (11) 


525  (7) 


532  (9) 

9.5 Nonlinear Systems of Equations 


541  (6) 

Putting Your Skills to Work: Tracking the Path of a Comet 


547  (1) 


548  (3) 

Chapter 9 Review Problems 


551  (2) 


553  (2) 

Cumulative Test for Chapters 19 


555  (2) 


557  (52) 
Pretest Chapter 10 

558  (2) 


560  (6) 

10.2 General Graphing Procedures for Functions 


566  (9) 

10.3 Algebraic Operations on Functions 


575  (9) 

10.4 Inverse of a Function 


584  (11) 


595  (3) 

Putting Your Skills to Work: The Temperature Function for Plant Life 


598  (2) 

Chapter 10 Review Problems 


600  (5) 


605  (2) 

Cumulative Test for Chapters 110 


607  (2) 

CHAPTER 11 Logarithmic and Exponential Functions 


609  (58) 
Pretest Chapter 11 

610  (1) 

11.1 The Exponential Function 


611  (11) 

11.2 The Logarithmic Function 


622  (8) 

11.3 Properties of Logarithms 


630  (8) 

11.4 Finding Logarithmic Function Values on a Calculator 


638  (7) 

11.5 Exponential and Logarithmic Equations 


645  (11) 

Putting Your Skills to Work: Measuring the Doubling Time 


656  (2) 


658  (2) 

Chapter 11 Review Problems 


660  (3) 


663  (2) 

Cumulative Test for Chapters 111 


665  (2) 
Practice Final Examination 

667  
Glossary 

G1  
Appendix A: Table of Square Roots 

A1  
Table of Exponential Values 

A2  
Appendix B: Solving Systems of Linear Equations Using Matrices 

A3  
SOLUTIONS TO PRACTICE PROBLEMS 

SP1  
SELECTED ANSWERS 

SA1  
Applications Index 

I1  
Index 

I5  
Photo Credits 

P1  