Preface to the Instructor 

xi  
Preface to the Student 

xvii  
New Features of This Edition 

xix  

Basic Properties and Definitions 


1  (66) 

Fundamental Definitions and Notation 


3  (8) 


11  (8) 

Properties of Real Numbers 


19  (11) 

Arithmetic with Real Numbers 


30  (10) 


40  (8) 

Number Sequences and Inductive Reasoning 


48  (19) 


59  (3) 


62  (2) 


64  (1) 


65  (2) 

Equations and Inequalities in One Variable 


67  (68) 

Linear Equations in One Variable 


69  (9) 


78  (12) 


90  (16) 

Linear Inequalities in One Variable 


106  (8) 

Equations with Absolute Value 


114  (4) 

Inequalities Involving Absolute Value 


118  (17) 


125  (2) 


127  (2) 


129  (2) 


131  (2) 


133  (2) 

Equations and Inequalities in Two Variables 


135  (86) 

Paired Data and the Rectangular Coordinate System 


137  (14) 


151  (11) 


162  (11) 

Linear Inequalities in Two Variables 


173  (7) 

Introduction to Functions 


180  (13) 


193  (9) 


202  (19) 


213  (2) 


215  (2) 


217  (2) 


219  (1) 


220  (1) 

Systems of Linear Equations 


221  (56) 

Systems of Linear Equations in Two Variables 


223  (10) 

Systems of Linear Equations in Three Variables 


233  (8) 

Introduction to Determinants 


241  (7) 


248  (5) 


253  (24) 


268  (2) 


270  (1) 


271  (2) 


273  (2) 


275  (2) 

Exponents and Polynomials 


277  (71) 


279  (10) 

Polynomials, Sums, and Differences 


289  (10) 

Multiplication of Polynomials 


299  (10) 

The Greatest Common Factor and Factoring by Grouping 


309  (5) 


314  (7) 


321  (8) 

Solving Equations by Factoring 


329  (19) 


339  (2) 


341  (2) 


343  (1) 


344  (2) 


346  (2) 


348  (78) 

Basic Properties and Reducing to Lowest Terms 


350  (13) 


363  (10) 

Multiplication and Division of Rational Expressions 


373  (8) 

Addition and Subtraction of Rational Expressions 


381  (8) 


389  (5) 

Equations Involving Rational Expressions 


394  (11) 


405  (21) 


417  (2) 


419  (1) 


420  (2) 


422  (2) 


424  (2) 

Rational Exponents and Roots 


426  (68) 


427  (13) 

More Expressions Involving Rational Exponents 


440  (6) 

Simplified Form for Radicals 


446  (11) 

Addition and Subtraction of Radical Expressions 


457  (5) 

Multiplication and Division of Radical Expressions 


462  (6) 


468  (10) 


478  (16) 


486  (2) 


488  (1) 


489  (2) 


491  (2) 


493  (1) 


494  (72) 


495  (11) 


506  (10) 

Additional Items Involving Solutions to Equations 


516  (10) 

Equations Quadratic in Form 


526  (9) 


535  (14) 


549  (17) 


559  (1) 


560  (2) 


562  (2) 


564  (1) 


565  (1) 

Exponential and Logarithmic Functions 


566  (56) 


567  (9) 

The Inverse of a Function 


576  (9) 


585  (8) 


593  (5) 

Common Logarithms and Natural Logarithms 


598  (9) 

Exponential Equations and Change of Base 


607  (15) 


615  (2) 


617  (1) 


618  (2) 


620  (1) 


621  (1) 


622  (44) 


623  (8) 


631  (6) 


637  (6) 


643  (8) 


651  (15) 


659  (2) 


661  (1) 


662  (2) 


664  (1) 


665  (1) 


666  


667  (7) 


674  (10) 

SecondDegree Inequalities and Nonlinear Systems 


684  


692  (1) 


693  (2) 


695  (1) 


696  (1) 


697  
Appendix A Synthetic Division 

A.1  
Appendix B Matrix Solutions to Linear Systems 

B.1  
Appendix C Algebra With Functions 

C.1  
Appendix D Answers to OddNumbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews 

D.1  
Index 

I.1  