Preface 

x  

Straight Lines and Linear Functions 


1  (70) 

The Cartesian Coordinate System 


2  (8) 


10  (18) 

Using Technology: Graphing a Straight Line 


24  (4) 

Linear Functions and Mathematical Models 


28  (14) 

Using Technology: Evaluating a Function 


39  (3) 

Intersection of Straight Lines 


42  (12) 

Using Technology: Finding the Point(s) of Intersection of Two Graphs 


52  (2) 

The Method of Least Squares 


54  (17) 

Using Technology: Finding an Equation of a LeastSquares Line 


63  (4) 

Chapter 1 Summary of Principal Formulas and Terms 


67  (1) 

Chapter 1 Concept Review Questions 


67  (1) 

Chapter 1 Review Exercises 


68  (1) 

Chapter 1 Before Moving On 


69  (2) 

Systems of Linear Equations and Matrices 


71  (96) 

Systems of Linear Equations: An Introduction 


72  (8) 

Systems of Linear Equations: Unique Solutions 


80  (17) 

Using Technology: Systems of Linear Equations: Unique Solutions 


94  (3) 

Systems of Linear Equations: Underdetermined and Overdetermined Systems 


97  (11) 

Using Technology: Systems of Linear Equations: Underdetermined and Overdetermined Systems 


106  (2) 


108  (13) 

Using Technology: Matrix Operations 


118  (3) 

Multiplication of Matrices 


121  (15) 

Using Technology: Matrix Multiplication 


134  (2) 

The Inverse of a Square Matrix 


136  (17) 

Using Technology: Finding the Inverse of a Square Matrix 


150  (3) 

Leontief InputOutput Model 


153  (14) 

Using Technology: The Leontief InputOutput Model 


160  (3) 

Chapter 2 Summary of Principal Formulas and Terms 


163  (1) 

Chapter 2 Concept Review Questions 


163  (1) 

Chapter 2 Review Exercises 


164  (2) 

Chapter 2 Before Moving On 


166  (1) 

Linear Programming: A Geometric Approach 


167  (48) 

Graphing Systems of Linear Inequalities in Two Variables 


168  (8) 

Linear Programming Problems 


176  (9) 

Graphical Solution of Linear Programming Problems 


185  (13) 


198  (17) 


206  (6) 

Chapter 3 Summary of Principal Terms 


212  (1) 

Chapter 3 Concept Review Questions 


212  (1) 

Chapter 3 Review Exercises 


213  (1) 

Chapter 3 Before Moving On 


214  (1) 

Linear Programming: An Algebraic Approach 


215  (62) 

The Simplex Method: Standard Maximization Problems 


216  (27) 

Using Technology: The Simplex Method: Solving Maximization Problems 


238  (5) 

The Simplex Method: Standard Minimization Problems 


243  (17) 

Using Technology: The Simplex Method: Solving Minimization Problems 


255  (5) 

The Simplex Method: Nonstandard Problems 


260  (17) 

Chapter 4 Summary of Principal Terms 


274  (1) 

Chapter 4 Concept Review Questions 


274  (1) 

Chapter 4 Review Exercises 


274  (1) 

Chapter 4 Before Moving On 


275  (2) 


277  (58) 


278  (18) 

Using Technology: Finding the Accumulated Amount of an Investment, the Effective Rate of Interest, and the Present Value of an Investment 


292  (4) 


296  (13) 

Using Technology: Finding the Amount of an Annuity 


306  (3) 

Amortization and Sinking Funds 


309  (13) 

Portfolio: Mark Weddington 


313  (6) 

Using Technology: Amortizing a Loan 


319  (3) 

Arithmetic and Geometric Progressions 


322  (13) 

Chapter 5 Summary of Principal Formulas and Terms 


331  (1) 

Chapter 5 Concept Review Questions 


331  (1) 

Chapter 5 Review Exercises 


332  (2) 

Chapter 5 Before Moving On 


334  (1) 


335  (44) 


336  (10) 

The Number of Elements in a Finite Set 


346  (7) 

The Multiplication Principle 


353  (6) 

Portfolio: Stephanie Molina 


356  (3) 

Permutations and Combinations 


359  (20) 

Using Technology: Evaluating n!, P(n, r), and C(n, r) 


373  (1) 

Chapter 6 Summary of Principal Formulas and Terms 


374  (1) 

Chapter 6 Concept Review Questions 


375  (1) 

Chapter 6 Review Exercises 


375  (2) 

Chapter 6 Before Moving On 


377  (2) 


379  (64) 

Experiments, Sample Spaces, and Events 


380  (8) 

Definition of Probability 


388  (9) 


397  (10) 


401  (6) 

Use of Counting Techniques in Probability 


407  (7) 

Conditional Probability and Independent Events 


414  (15) 


429  (14) 

Chapter 7 Summary of Principal Formulas and Terms 


438  (1) 

Chapter 7 Concept Review Questions 


439  (1) 

Chapter 7 Review Exercises 


439  (2) 

Chapter 7 Before Moving On 


441  (2) 

Probability Distributions and Statistics 


443  (68) 

Distributions of Random Variables 


444  (10) 

Using Technology: Graphing a Histogram 


451  (3) 


454  (13) 

Portfolio: AnnMarie Martz 


461  (6) 

Variance and Standard Deviation 


467  (13) 

Using Technology: Finding the Mean and Standard Deviation 


478  (2) 

The Binomial Distribution 


480  (10) 


490  (9) 

Applications of the Normal Distribution 


499  (12) 

Chapter 8 Summary of Principal Formulas and Terms 


507  (1) 

Chapter 8 Concept Review Questions 


508  (1) 

Chapter 8 Review Exercises 


508  (1) 

Chapter 8 Before Moving On 


509  (2) 

Markov Chains and the Theory of Games 


511  (60) 


512  (11) 

Using Technology: Finding Distribution Vectors 


522  (1) 


523  (12) 

Using Technology: Finding the LongTerm Distribution Vector 


533  (2) 


535  (8) 

Game Theory and Strictly Determined Games 


543  (10) 

Games with Mixed Strategies 


553  (18) 

Chapter 9 Summary of Principal Formulas and Terms 


566  (1) 

Chapter 9 Concept Review Questions 


567  (1) 

Chapter 9 Review Exercises 


567  (2) 

Chapter 9 Before Moving On 


569  (2) 

APPENDIX A Introduction to Logic 


571  (27) 

Propositions and Connectives 


572  (4) 


576  (3) 

The Conditional and Biconditional Connectives 


579  (5) 


584  (4) 


588  (6) 

Applications of Logic to Switching Networks 


594  (4) 

APPENDIX B The System of Real Numbers 


598  (3) 


601  (8) 

Table 1: Binomial Probabilities 


602  (4) 

Table 2: The Standard Normal Distribution 


606  (3) 
Answers to OddNumbered Exercises 

609  (34) 
Index 

643  