

1  (76) 


1  (1) 


1  (5) 

Zero and Order of Operations 


6  (3) 

Scientific Notation and Powers of 10 


9  (5) 


14  (3) 

Operations with Measurements 


17  (4) 


21  (5) 


26  (5) 

Multiplication of Algebraic Expressions 


31  (4) 

Division of Algebraic Expressions 


35  (3) 


38  (4) 


42  (3) 

Substitution of Data into Formulas 


45  (5) 

Applications Involving Linear Equations 


50  (5) 


55  (5) 


60  (17) 


65  (5) 


70  (3) 

Chapter 1 Special NASA Application: Spare Parts for the Space Shuttle 


73  (2) 

Chapter 1 Application: PrecisionMachined Computer Disks 


75  (2) 


77  (37) 


77  (1) 


77  (5) 


82  (8) 


90  (5) 


95  (5) 

Geometric Solids: Areas and Volumes 


100  (14) 


107  (3) 


110  (2) 

Chapter 2 Special NASA Application: WindowtoWall Ratio 


112  (2) 

RightTriangle Trigonometry 


114  (31) 


114  (1) 


114  (10) 

Values of the Trigonometric Ratios 


124  (6) 


130  (4) 

Applications of the Right Triangle 


134  (11) 


142  (1) 


143  (2) 

Equations and Their Graphs 


145  (35) 


145  (1) 


145  (5) 


150  (9) 


159  (7) 

Parallel and Perpendicular Lines 


166  (4) 

The Distance and Midpoint Formulas 


170  (10) 


173  (1) 


174  (2) 

Chapter 4 Special NASA Application: The Space Shuttle Landing, Part I 


176  (4) 

Factoring and Algebraic Fractions 


180  (32) 


180  (1) 


180  (3) 

Factoring Algebraic Expressions 


183  (6) 


189  (3) 


192  (3) 

Multiplication and Division of Algebraic Fractions 


195  (3) 

Addition and Subtraction of Algebraic Fractions 


198  (4) 


202  (3) 


205  (7) 


209  (2) 


211  (1) 

Systems of Linear Equations 


212  (49) 


212  (1) 

Solving a System of Two Linear Equations 


212  (10) 

Other Systems of Equations 


222  (2) 

Solving a System of Three Linear Equations 


224  (6) 


230  (5) 

Properties of Determinants 


235  (3) 

Solving a System of Linear Equations Using Determinants 


238  (6) 


244  (17) 


251  (4) 


255  (2) 

Chapter 6 Application: Kirchhoff's Laws for Electric Circuits 


257  (4) 


261  (17) 


261  (1) 

Solving Quadratic Equations by Factoring 


261  (3) 

Solving Quadratic Equations by Completing the Square 


264  (3) 


267  (4) 


271  (7) 


275  (1) 


276  (2) 


278  (26) 


278  (1) 


278  (3) 


281  (3) 


284  (7) 

Addition and Subtraction of Radicals 


291  (2) 

Multiplication and Division of Radicals 


293  (3) 


296  (4) 

Equations in Quadratic Form 


300  (4) 


302  (1) 


303  (1) 

Exponentials and Logarithms 


304  (43) 


304  (1) 


304  (4) 


308  (3) 


311  (4) 


315  (4) 


319  (5) 

Solving Exponential Equations 


324  (3) 

Solving Logarithmic Equations 


327  (2) 

Applications: Solving Exponential and Logarithmic Equations 


329  (6) 

Data Along a Straight Line 


335  (12) 


341  (1) 


342  (3) 

Chapter 9 Special NASA Application: The Space Shuttle Landing, Part II 


345  (2) 


347  (26) 


347  (1) 

The Trigonometric Functions 


347  (7) 

Trigonometric Functions of Any Angle 


354  (6) 


360  (6) 


366  (7) 


370  (1) 


371  (2) 

Oblique Triangles and Vectors 


373  (48) 


373  (1) 


373  (6) 


379  (4) 


383  (4) 

Applications of Oblique Triangles 


387  (5) 

Addition of Vectors: Graphical Methods 


392  (6) 

Addition of Vectors: Trigonometric Methods 


398  (2) 


400  (6) 


406  (15) 


413  (2) 


415  (3) 

Chapter 11 Special NASA Application: Vector Analysis of Wind Changes Affecting Shuttle Launch 


418  (3) 

Graphing the Trigonometric Functions 


421  (24) 


421  (1) 

Graphing the Sine and Cosine Functions 


421  (5) 


426  (4) 

Graphing the Other Trigonometric Functions 


430  (3) 

Graphing Composite Curves 


433  (2) 


435  (10) 


441  (1) 


441  (2) 

Chapter 12 Special NASA Application: Fitting a Sine Curve to Energy Use Data 


443  (2) 

Trigonometric Formulas and Identities 


445  (31) 


445  (1) 

Basic Trigonometric Identities 


445  (6) 

Formulas for the Sum and the Difference of Two Angles 


451  (5) 

Double and HalfAngle Formulas 


456  (6) 


462  (3) 

Inverse Trigonometric Functions 


465  (11) 


473  (1) 


474  (2) 


476  (22) 


476  (1) 

Complex Numbers in Rectangular Form 


476  (6) 

Trigonometric and Exponential Forms of Complex Numbers 


482  (4) 

Multiplication and Division of Complex Numbers in Exponential and Trigonometric Forms 


486  (4) 


490  (8) 


495  (2) 


497  (1) 


498  (28) 


498  (1) 


498  (5) 

Multiplication of Matrices 


503  (5) 

Finding the Inverse of a Matrix 


508  (8) 

Solving a System of Equations by a Matrix Method 


516  (10) 


520  (1) 


521  (3) 

Chapter 15 Application: Matrices Used to Encode Information 


524  (2) 

Polynomials of Higher Degree 


526  (16) 


526  (1) 


526  (5) 

Real Solutions of Polynomial Equations 


531  (4) 

Complex Solutions of Polynomial Equations 


535  (7) 


540  (1) 


541  (1) 

Inequalities and Absolute Value 


542  (19) 


542  (1) 


542  (8) 

Equations and Inequalities Involving Absolute Value 


550  (3) 

Other Types of Inequalities 


553  (3) 

Inequalities in Two Variables 


556  (5) 


559  (1) 


559  (2) 

Progressions and the Binomial Theorem 


561  (13) 


561  (1) 


561  (3) 


564  (4) 


568  (6) 


572  (1) 


573  (1) 


574  (34) 


574  (1) 

Graphical Presentation of Data 


574  (5) 

Measures of Central Tendency 


579  (3) 


582  (4) 


586  (3) 

Fitting Curves to Data Sets 


589  (6) 

Statistical Process Control 


595  (13) 


600  (1) 


601  (3) 

Chapter 19 Application: Statistics in the Manufacturing Process 


604  (4) 


608  (51) 


608  (1) 


608  (5) 


613  (8) 


621  (4) 


625  (6) 


631  (5) 

The General SecondDegree Equation 


636  (2) 

Systems of Quadratic Equations 


638  (3) 


641  (8) 

Graphs in Polar Coordinates 


649  (10) 


655  (2) 


657  (2) 


659  (4) 

Table 1 U.S. Weights and Measures 


659  (1) 

Table 2 Conversion Tables 


660  (2) 

Table 3 Physical Quantities and Their Units 


662  (1) 

APPENDIX B The Metric System 


663  (24) 


663  (3) 


666  (4) 


670  (2) 


672  (5) 

B.5 Temperature, Time, Current, and Power 


677  (6) 


683  (4) 


685  (2) 

APPENDIX C Using a Graphing Calculator 


687  (29) 

C.1 Introduction to The TI83 Keyboard 


687  (3) 

C.2 Computational Examples 


690  (3) 


693  (2) 


695  (6) 

C.5 Trigonometric Functions and Polar Coordinates 


701  (4) 

C.6 EquationSolving and Table Features 


705  (3) 


708  (2) 


710  (2) 

C.9 List Features and Descriptive Statistics 


712  (2) 

C.10 The Line of Best Fit (Linear Regression) 


714  (2) 

APPENDIX D Using an Advanced Graphing Calculator 


716  (39) 

D.1 Introduction to The TI89 Keyboard 


716  (3) 

D.2 Variables and Editing 


719  (1) 

D.3 The Home Screen Menus 


720  (2) 


722  (5) 


727  (2) 


729  (8) 

D.7 Trig Functions and Polar Coordinates 


737  (4) 

D.8 Numerical Graph and Table Features 


741  (3) 


744  (1) 


745  (2) 


747  (1) 

D.12 The Data Editor and Descriptive Statistics 


748  (1) 

D.13 The Line of Best Fit (Linear Regression) 


749  (1) 

D.14 Symbolic Algebra Features 


750  (5) 
Answers to OddNumbered Exercises and Chapter Reviews 

755  (52) 
Index 

807  