

1  (87) 


2  (13) 

1.2 Integer Exponents and Scientific Notation 


15  (12) 

1.3 Fractional Exponents and Radicals 


27  (14) 


41  (13) 

1.5 Factoring Polynomials 


54  (10) 


64  (12) 


76  (4) 


80  (6) 


86  (2) 

2 Equations and Inequalities 


88  (94) 


89  (9) 

2.2 Applications of Linear Equations 


98  (11) 


109  (13) 

2.4 Applications of Quadratic Equations 


122  (6) 


128  (11) 

2.6 Polynomial and Radical Equations 


139  (8) 


147  (14) 


161  (9) 


170  (3) 


173  (5) 


178  (1) 

Cumulative Review Exercises 


179  (3) 

3 The Rectangular Coordinate System and Graphs of Equations 


182  (82) 

3.1 The Rectangular Coordinate System 


183  (16) 

3.2 The Slope of a Nonvertical Line 


199  (12) 

3.3 Writing Equations of Lines 


211  (13) 


224  (19) 

3.5 Proportion and Variation 


243  (8) 


251  (3) 


254  (7) 


261  (3) 


264  (95) 

4.1 Functions and Function Notation 


265  (14) 


279  (9) 

4.3 Polynomial and Other Functions 


288  (11) 

4.4 Translating and Stretching Graphs 


299  (10) 


309  (16) 

4.6 Operations on Functions 


325  (11) 


336  (10) 


346  (3) 


349  (5) 


354  (2) 

Cumulative Review Exercises 


356  (3) 

5 Exponential and Logarithmic Functions 


359  (73) 

5.1 Exponential Functions 


360  (14) 

5.2 Basee Exponential Functions 


374  (9) 

5.3 Logarithmic Functions 


383  (11) 


394  (8) 

5.5 Properties of Logarithms 


402  (11) 

5.6 Exponential and Logarithmic Equations 


413  (8) 


421  (4) 


425  (5) 


430  (2) 

6 Solving Polynomial Equations 


432  (44) 

6.1 The Remainder and Factor Theorems; Synthetic Division 


433  (10) 

6.2 Descartes' Rule of Signs and Bounds on Roots 


443  (9) 

6.3 Rational Roots of Polynomial Equations 


452  (9) 

6.4 Irrational Roots of Polynomial Equations 


461  (5) 


466  (3) 


469  (4) 


473  (1) 

Cumulative Review Exercises 


474  (2) 


476  (102) 

7.1 Systems of Linear Equations 


477  (13) 

7.2 Gaussian Elimination and Matrix Methods 


490  (12) 


502  (15) 


517  (9) 


526  (14) 


540  (8) 

7.7 Graphs of Linear Inequalities 


548  (9) 


557  (10) 


567  (2) 


569  (6) 


575  (3) 

8 Conic Sections and Quadratic Systems 


578  (58) 

8.1 The Circle and the Parabola 


579  (16) 


595  (10) 


605  (11) 

8.4 Solving Simultaneous SecondDegree Equations 


616  (7) 


623  (3) 


626  (6) 


632  (1) 

Cumulative Review Exercises 


633  (3) 

9 Natural Number Functions and Probability 


636  (75) 


637  (7) 

9.2 Sequences, Series, and Summation Notation 


644  (8) 


652  (7) 


659  (8) 

9.5 Mathematical Induction 


667  (6) 

9.6 Permutations and Combinations 


673  (11) 


684  (7) 

9.8 Computation of Compound Probabilities 


691  (7) 

9.9 Odds and Mathematical Expectation 


698  (3) 


701  (3) 


704  (5) 


709  (2) 

10 The Mathematics of Finance 


711  


712  (10) 

10.2 Annuities and Future Value 


722  (6) 

10.3 Present Value of an Annuity; Amortization 


728  (7) 


735  (2) 


737  (3) 


740  (1) 

Cumulative Review Exercises 


740  
APPENDIX I A PROOF OF THE BINOMIAL THEOREM 

A1  (2) 
APPENDIX II TABLES 

A3  (3) 
Table A Powers and Roots 

A3  (1) 
Table B Base10 Logarithms 

A4  (1) 
Table C Basee Logarithms 

A5  (1) 
APPENDIX III ANSWERS TO SELECTED EXERCISES 

A6  
INDEX 

I1  