Preface 

vi  
To the Student 

xvii  
Learning Styles Inventory 

xxiii  

Real Numbers and Expressions 


1  (54) 

Sets and the Structure of Algebra 


2  (10) 

Operations with Real Numbers; Properties of Real Numbers 


12  (12) 

Exponents, Roots, and Order of Operations 


24  (11) 

Evaluating and Rewriting Expressions 


35  (20) 


46  (4) 


50  (4) 


54  (1) 

Linear Equations and Inequalities in One Variable 


55  (80) 

Linear Equations and Formulas 


56  (10) 


66  (16) 

Solving Linear Inequalities 


82  (12) 


94  (14) 

Equations Involving Absolute Value 


108  (5) 

Inequalities Involving Absolute Value 


113  (22) 


121  (6) 


127  (5) 


132  (3) 

Equations and Inequalities in Two Variables and Functions 


135  (88) 

Graphing Linear Equations 


136  (14) 


150  (15) 


165  (14) 

Graphing Linear Inequalities 


179  (9) 

Introduction to Functions and Function Notation 


188  (35) 


206  (6) 


212  (5) 


217  (2) 

Chapters 13 Cumulative Review Exercises 


219  (4) 

Systems of Linear Equations and Inequalities 


223  (86) 

Solving Systems of Linear Equations in Two Variables 


224  (20) 

Solving Systems of Linear Equations in Three Variables 


244  (8) 

Solving Applications Using Systems of Equations 


252  (15) 

Solving Systems of Linear Equations Using Matrices 


267  (11) 

Solving Systems of Linear Equations Using Cramer's Rule 


278  (10) 

Solving Systems of Linear Inequalities 


288  (21) 


297  (6) 


303  (4) 


307  (2) 


309  (74) 

Exponents and Scientific Notation 


310  (15) 

Polynomials and Polynomial Functions 


325  (16) 


341  (12) 


353  (10) 

Synthetic Division and the Remainder Theorem 


363  (20) 


370  (5) 


375  (5) 


380  (3) 


383  (64) 

Greatest Common Factor and Factoring by Grouping 


384  (10) 


394  (12) 

Factoring Special Products and Factoring Strategies 


406  (11) 

Solving Equations by Factoring 


417  (30) 


433  (5) 


438  (4) 


442  (1) 

Chapters 16 Cumulative Review Exercises 


443  (4) 

Rational Expressions and Equations 


447  (86) 

Simplifying, Multiplying, and Dividing Rational Expressions 


448  (17) 

Adding and Subtracting Rational Expressions 


465  (13) 

Simplifying Complex Rational Expressions 


478  (11) 

Solving Equations Containing Rational Expressions 


489  (11) 

Applications with Rational Expressions; Variation 


500  (33) 


518  (7) 


525  (5) 


530  (3) 

Rational Exponents, Radicals, and Complex Numbers 


533  (88) 

Radical Expressions and Functions 


534  (12) 


546  (12) 

Multiplying, Dividing, and Simplifying Radicals 


558  (9) 

Adding, Subtracting, and Multiplying Radical Expressions 


567  (9) 

Rationalizing Numerators and Denominators of Radical Expressions 


576  (12) 

Radical Equations and Problem Solving 


588  (11) 


599  (22) 


607  (6) 


613  (6) 


619  (2) 


621  (82) 


622  (13) 

Solving Quadratic Equations Using the Quadratic Formula 


635  (12) 

Solving Equations That Are Quadratic in Form 


647  (11) 

Graphing Quadratic Functions 


658  (15) 

Solving Nonlinear Inequalities 


673  (30) 


687  (5) 


692  (4) 


696  (2) 

Chapters 19 Cumulative Review Exercises 


698  (5) 

Exponential and Logarithmic Functions 


703  (84) 

Composite and Inverse Functions 


704  (14) 


718  (12) 


730  (10) 


740  (9) 

Common and Natural Logarithms 


749  (7) 

Exponential and Logarithmic Equations with Applications 


756  (31) 


770  (9) 


779  (6) 


785  (2) 


787  (1) 


788  (14) 


802  (14) 

Nonlinear Systems of Equations 


816  (7) 

Nonlinear Inequalities and Systems of Inequalities 


823  (8) 


831  (7) 


838  (5) 


843  (2) 

Chapters 111 Cumulative Review Exercises 


845  
Appendix A Arithmetic Sequences and Series 

1  (10) 
Appendix B Geometric Sequences and Series 

11  (10) 
Appendix C The Binomial Theorem 

21  (6) 
Appendix D Permutations and Combinations 

27  (6) 
Appendix E Probability 

33  
Answers (Student edition only) 

1  (1) 
Glossary 

1  (1) 
Index 

1  (9) 
Applications Index 

10  (4) 
Photograph Credits 

14  