Preface to the Instructor 

ix  (6) 
Preface to the Student 

xv  

1 Basic Definitions and Properties 


1  (72) 

1.1 Fundamental Definitions and Notation 


3  (11) 

1.2 Properties of Real Numbers 


14  (10) 

1.3 Arithmetic with Real Numbers 


24  (8) 

1.4 Exponents and Scientific Notation 


32  (9) 

1.5 Polynomials: Sums, Differences, and Products 


41  (10) 


51  (8) 


59  (7) 


66  (7) 

2 Equations and Inequalities in One Variable 


73  (62) 

2.1 Linear and Quadratic Equations in One Variable 


75  (11) 


86  (9) 


95  (13) 

2.4 Linear Inequalities in One Variable 


108  (9) 

2.5 Equations with Absolute Value 


117  (5) 

2.6 Inequalities Involving Absolute Value 


122  (6) 


128  (7) 

3 Equations and Inequalities in Two Variables 


135  (80) 

3.1 Paired Data and the Rectangular Coordinate System 


136  (15) 


151  (9) 

3.3 The Equation of a Line 


160  (10) 

3.4 Linear Inequalities in Two Variables 


170  (8) 

3.5 Introduction to Functions 


178  (10) 


188  (10) 


198  (10) 


208  (7) 


215  (68) 

4.1 Basic Properties and Reducing to Lowest Terms 


217  (12) 

4.2 Division of Polynomials 


229  (8) 

4.3 Multiplication and Division with Rational Expressions 


237  (7) 

4.4 Addition and Subtraction with Rational Expressions 


244  (9) 


253  (5) 

4.6 Equations Involving Rational Expressions 


258  (8) 


266  (10) 


276  (7) 

5 Rational Exponents and Roots 


283  (58) 


285  (10) 

5.2 More Expressions Involving Rational Exponents 


295  (5) 

5.3 Simplified Form for Radicals 


300  (10) 

5.4 Addition and Subtraction with Radical Expressions 


310  (4) 

5.5 Multiplication and Division with Radical Expressions 


314  (5) 

5.6 Equations with Radicals 


319  (8) 


327  (7) 


334  (7) 


341  (64) 

6.1 Completing the Square 


342  (9) 

6.2 The Quadratic Formula 


351  (10) 

6.3 Additional Items Involving Solutions to Equations 


361  (9) 

6.4 Equations That Are Quadratic in Form 


370  (8) 


378  (11) 

6.6 Quadratic Inequalities 


389  (11) 


400  (5) 


405  (48) 

7.1 Systems of Linear Equations in Two Variables 


406  (10) 

7.2 Systems of Linear Equations in Three Variables 


416  (6) 

7.3 Introduction to Matrices and Determinants 


422  (9) 


431  (5) 


436  (10) 


446  (7) 

8 Exponential and Logarithmic Functions 


453  (38) 

8.1 Exponential Functions and the Inverse of a Function 


454  (9) 

8.2 Logarithms Are Exponents 


463  (6) 

8.3 Properties of Logarithms 


469  (4) 

8.4 Common Logarithms and Natural Logarithms 


473  (6) 

8.5 Exponential Equations and Change of Base 


479  (7) 


486  (5) 


491  (36) 


492  (6) 


498  (5) 


503  (4) 


507  (6) 

9.5 The Binomial Expansion 


513  (8) 


521  (6) 


527  (30) 


528  (6) 

10.2 Ellipses and Hyperbolas 


534  (10) 

10.3 SecondDegree Inequalities and Nonlinear Systems 


544  (9) 


553  (4) 

11 Introduction to Trigonometry 


557  (82) 

11.1 Degrees, Radians, and Special Triangles 


558  (12) 

11.2 Trigonometric Functions 


570  (8) 

11.3 Trigonometric Functions and Calculators 


578  (11) 

11.4 Graphing I: Amplitude and Period 


589  (14) 

11.5 Graphing II: Phase Shift 


603  (10) 

11.6 Finding an Equation from Its Graph 


613  (10) 

11.7 Inverse Trigonometric Functions 


623  (7) 


630  (9) 

12 Trigonometric Identities and Equations 


639  (36) 

12.1 Introduction to Identities 


640  (7) 


647  (5) 

12.3 Sum and Difference Formulas 


652  (7) 

12.4 DoubleAngle and HalfAngle Formulas 


659  (6) 

12.5 Solving Trigonometric Equations 


665  (6) 


671  (4) 


675  

13.1 Definition II: Right Triangle Trigonometry 


676  (14) 


690  (6) 


696  (6) 


702  (5) 


707  
Answers to OddNumbered Problems, Chapter Reviews, and Chapter Tests 

A1  
Index 

I1  