ISBN: 9780131366268

Author: Addison Wesley

Published: 2011

## Chapters: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

### Chapter 1

Review Of The Real Number System

1.1 | Basic Concepts | Exercises | p.12 |

1.2 | Operations on Real Numbers | Exercises | p.21 |

1.3 | Exponents, Roots, and Order of Operations | Exercises | p.28 |

1.4 | Properties of Real Numbers | Exercises | p.35 |

Review Exercises | p.39 | ||

Test | p.41 |

### Chapter 2

Linear Equations, Inequalities, And Applications

2.1 | Linear Equations in One Variable | Exercises | p.50 |

2.2 | Formulas | Exercises | p.56 |

2.3 | Applications of Linear Equations | Exercises | p.67 |

2.4 | Linear Inequalities in One Variable | Exercises | p.79 |

2.5 | Set Operations and Compound Inequalities | Exercises | p.89 |

2.6 | Absolute Value Equations and Inequalities | Exercises | p.96 |

Review Exercises | p.102 | ||

Test | p.105 |

### Chapter 3

Graphs, Linear Equations, And Functions

3.1 | The Rectangular Coordinate System | Exercises | p.114 |

3.2 | The Slope of a Line | Exercises | p.125 |

3.3 | Linear Equations in Two Variables | Exercises | p.138 |

3.4 | Linear Inequalities in Two Variables | Exercises | p.146 |

3.5 | Introduction to Functions | Exercises | p.157 |

Review Exercises | p.163 | ||

Test | p.166 |

### Chapter 4

Systems And Matrices

4.1 | Systems of Linear Equations in Two Variables | Exercises | p.178 |

4.2 | Systems of Linear Equations in Three Variable | Exercises | p.187 |

4.3 | Solving Systems of Linear Equations by Matrix Methods | Exercises | p.194 |

4.4 | Properties of Matrices | Exercises | p.204 |

4.5 | Matrix Inverses | Exercises | p.215 |

4.6 | Determinants and Cramer's Rule | Exercises | p.223 |

Review Exercises | p.230 | ||

Test | p.232 |

### Chapter 5

Exponents, Polynomials, And Functions

5.1 | Interger Exponents and Scientific Notation | Exercises | p.246 |

5.2 | Adding and Subtracting Polynomials | Exercises | p.253 |

5.3 | Polynomial Functions, Graphs, and Composition | Exercises | p.262 |

5.4 | Multiplying Polynomials | Exercises | p.270 |

5.5 | Dividing Polynomials | Exercises | p.276 |

Review Exercises | p.281 | ||

Test | p.283 |

### Chapter 6

Factoring

6.1 | Greatest Common Factors; Factoring by Grouping | Exercises | p.290 |

6.2 | Factoring Trinomials | Exercises | p.297 |

6.3 | Special Factoring | Exercises | p.302 |

6.4 | A General Approach to Factoring | Exercises | p.305 |

6.5 | Solving Equations by Factoring | Exercises | p.312 |

Review Excercises | p.315 | ||

Test | p.317 |

### Chapter 7

Rational Expressions And Functions

7.1 | Rational Expressions and Functions; Multiplying and Dividing | Exercises | p.327 |

7.2 | Adding and Subtracting Rational Expressions | Exercises | p.336 |

7.3 | Complex Fractions | Exercises | p.344 |

7.4 | Equations with Rational Expressions and Graphs | Exercises | p.348 |

7.5 | Applications of Rational Expressions | Exercises | p.357 |

7.6 | Variations | Exercises | p.367 |

Review Exercises | p.375 | ||

Test | p.377 |

### Chapter 8

Roots, Radicals, And Root Functions

8.1 | Radical Expressions and Graphs | Exercises | p.384 |

8.2 | Rational Exponents | Exercises | p.391 |

8.3 | Simplifying Radical Expressions | Exercises | p.399 |

8.4 | Adding and Subtracting Radical Expressions | Exercises | p.404 |

8.5 | Multiplying and Dividing Radical Expressions | Exercises | p.411 |

8.6 | Solving Equations with Radicals | Exercises | p.418 |

8.7 | Complex Numbers | Exercises | p.425 |

Review Exercises | p.430 | ||

Test | p.433 |

### Chapter 9

Quadratic Equations And Inequalities

9.1 | The Square Root Property and Completing the Square | Exercises | p.44 |

9.2 | The Quadratic Formula | Exercises | p.449 |

9.3 | Equations Quadratic in Form | Exercises | p.457 |

9.4 | Formulas and Further Applications | Exercises | p.465 |

9.5 | Quadratic and Rational Inequalities | Exercises | p.474 |

Review Exercises | p.477 | ||

Test | p.480 |

### Chapter 10

Additional Graphs Of Functions And Relations

10.1 | Review of Operations and Composition | Exercises | p.488 |

10.2 | Graphs of Quadratic Functions | Exercises | p.497 |

10.3 | More about Parabolas and Their Applications | Exercises | p.508 |

10.4 | Symmetry; Increasing and Decreasing Functions | Exercises | p.515 |

10.5 | Piecewise Linear Functions | Exercises | p.521 |

Review Exercises | p.527 | ||

Test | p.528 |

### Chapter 11

Inverse, Exponential, And Logarithmic Functions

11.1 | Inverse Functions | Exercises | p.537 |

11.2 | Exponential Functions | Exercises | p.545 |

11.3 | Logarithmic Functions | Exercises | p.552 |

11.4 | Properties of Logarithms | Exercises | p.560 |

11.5 | Common and Natural Logarithms | Exercises | p.566 |

11.6 | Exponential and Logarithmic Equations; Further Applications | Exercises | p.576 |

Review Exercises | p.582 | ||

Test | p.585 |

### Chapter 12

Polynomial And Rational Functions

12.1 | Synthetic Division | Exercises | p.592 |

12.2 | Zeros of Polynomial Functions | Exercises | p.599 |

12.3 | Graphs and Applications of Polynomial Functions | Exercises | p.610 |

12.4 | Graphs and Applications of Rational Functions | Exercises | p.623 |

Review Exercises | p.629 | ||

Test | p.631 |

### Chapter 13

Conic Sections And Nonlinear Systems

13.1 | The Circle and the Ellipse | Exercises | p.638 |

13.2 | The Hyperbola and Functions Defined by Radical | Exercises | p.646 |

13.3 | Nonlinear Systems of Equations | Exercises | p.652 |

Review Exercises | p.656 | ||

Test | p.656 |

### Chapter 14

Trigonometric Functions

14.1 | Angles | Exercises | p.665 |

14.2 | Angle Relationships and Similar Triangles | Exercises | p.672 |

14.3 | Trigonometric Functions | Exercises | p.681 |

14.4 | Using the Definitions of the Trigonometric Functions | Exercises | p.689 |

Review Exercises | p.694 | ||

Test | p.698 |

### Chapter 15

Acute Angles And Right Triangles

15.1 | Trigonometric Functions of Acute Angles | Exercises | p.707 |

15.2 | Trigonometric Functions of Non-Acute Angles | Exercises | p.713 |

15.3 | Finding Trigonometric Function Values Using a Calculator | Exercises | p.717 |

15.4 | Solving Right Triangles | Exercises | p.723 |

Review Exercises | p.730 | ||

Test | p.733 |

### Chapter 16

Radian Measure And Circular Functions

16.1 | Radian Measure | Exercises | p.739 |

16.2 | Applications of Radian Measure | Exercises | p.745 |

16.3 | The Unit Circle and Circular Functions | Exercises | p.755 |

16.4 | Linear and Angular Speed | Exercises | p.760 |

Review Exercises | p.765 | ||

Test | p.767 |

### Chapter 17

Graphs Of The Circular Functions

17.1 | Graphs of the Sine and Cosine Functions | Exercises | p.778 |

17.2 | Translations of the Graphs of the Sine and Cosine Functions | Exercises | p.786 |

17.3 | Graphs of the Tangent and Cotangent Functions | Exercises | p.794 |

17.4 | Graphs of the Secant and Cosecant Functions | Exercises | p.801 |

Review Exercises | p.805 | ||

Test | p.807 |

### Chapter 18

Trigonometric Identities

18.1 | Fundamental Identaties | Exercises | p.813 |

18.2 | Verifying Trigonometric Identities | Exercises | p.819 |

18.3 | Sum and Difference Identities for Cosine | Exercises | p.825 |

18.4 | Sum and Difference Identities for Sine and Tangent | Exercises | p.831 |

18.5 | Double-Angle Identities | Exercises | p.837 |

18.6 | Half-Angle Identities | Exercises | p.843 |

Review Exercises | p.846 | ||

Test | p.848 |

### Chapter 19

Inverse Circular Functions And Trigonometric Equations

19.1 | Inverse Circular Functions | Exercises | p.860 |

19.2 | Trigonometric Equations I | Exercises | p.867 |

19.3 | Trigonometric Equations II | Exercises | p.873 |

Review Exercises | p.876 | ||

Test | p.878 |

### Chapter 20

Oblique Triangles And Vectors

20.1 | Oblique Triangles and the Law of Sines | Exercises | p.886 |

20.2 | The Ambiguous Case of the Law of Sines | Exercises | p.894 |

20.3 | The Law of Cosines | Exercises | p.899 |

20.4 | Vectors | Exercises | p.908 |

Review Exercises | p.913 | ||

Test | p.916 |