Preface 

vi  
To the Student 

xii  
Learning Styles Inventory 

xviii  

Real Numbers and Expressions 


1  (54) 

Sets and the Structure of Algebra 


2  (11) 

Operations with Real Numbers; Properties of Real Numbers 


13  (13) 

Exponents, Roots, and Order of Operations 


26  (10) 

Evaluating and Rewriting Expressions 


36  (19) 


47  (4) 


51  (3) 


54  (1) 

Linear Equations and Inequalities in One Variable 


55  (78) 

Linear Equations and Formulas 


56  (11) 


67  (15) 

Solving Linear Inequalities 


82  (13) 


95  (13) 

Equations Involving Absolute Value 


108  (5) 

Inequalities Involving Absolute Value 


113  (20) 


121  (6) 


127  (4) 


131  (2) 

Equations and Inequalities in Two Variables and Functions 


133  (96) 

Graphing Linear Equations 


134  (16) 


150  (15) 


165  (14) 

Graphing Linear Inequalities 


179  (10) 

Introduction to Functions and Function Notation 


189  (40) 


209  (6) 


215  (7) 


222  (3) 

Cumulative Review Exercises 


225  (4) 

Systems of Linear Equations and Inequalities 


229  (88) 

Solving Systems of Linear Equations in Two Variables 


230  (21) 

Solving Systems of Linear Equations in Three Variables 


251  (8) 

Solving Applications Using Systems of Equations 


259  (15) 

Solving Systems of Linear Equations Using Matrices 


274  (11) 


285  (10) 

Solving Systems of Linear Inequalities 


295  (22) 


305  (6) 


311  (4) 


315  (2) 


317  (72) 

Exponents Scientific Notation 


318  (14) 

Polynomials and Polynomial Functions 


332  (16) 


348  (12) 


360  (10) 

Synthetic Division and the Remainder Theorem 


370  (19) 


377  (5) 


382  (4) 


386  (3) 


389  (62) 

Greatest Common Factor and Factoring by Grouping 


390  (9) 


399  (12) 

Factoring Special Products and Factoring Strategies 


411  (10) 

Solving Equations by Factoring 


421  (30) 


439  (5) 


444  (3) 


447  (1) 

Cumulative Review Exercises 


448  (3) 

Rational Expressions and Equations 


451  (80) 

Simplifying, Multiplying, and Dividing Rational Expressions 


452  (17) 

Adding and Subtracting Rational Expressions 


469  (12) 

Simplifying Complex Rational Expressions 


481  (11) 

Solving Equations Containing Rational Expressions 


492  (10) 

Applications with Rational Expressions; Variation 


502  (29) 


518  (7) 


525  (4) 


529  (2) 

Rational Exponents, Radicals, and Complex Numbers 


531  (86) 

Radical Expressions and Functions 


532  (12) 


544  (12) 

Multiplying, Dividing, and Simplifying Radical Expressions 


556  (10) 

Adding, Subtracting, and Multiplying Radical Expressions 


566  (9) 

Rationalizing Numerators and Denominators of Radical Expressions 


575  (11) 

Radical Equations and Problem Solving 


586  (10) 


596  (21) 


604  (7) 


611  (5) 


616  (1) 


617  (82) 


618  (15) 

Solving Quadratic Equations Using the Quadratic Formula 


633  (14) 

Solving Equations That Are in Quadratic Form 


647  (10) 

Graphing Quadratic Functions 


657  (15) 

Solving Nonlinear Inequalities 


672  (27) 


685  (5) 


690  (5) 


695  (2) 

Cumulative Review Exercises 


697  (2) 

Exponential and Logarithmic Functions 


699  (84) 

Composite and Inverse Functions 


700  (15) 


715  (12) 


727  (10) 


737  (9) 

Common and Natural Logarithms 


746  (7) 

Exponential and Logarithmic Equations with Applications 


753  (30) 


766  (9) 


775  (6) 


781  (2) 


783  

The Parabola and the Circle 


784  (16) 

The Ellipse and Hyperbola 


800  (15) 

Nonlinear Systems of Equations 


815  (8) 

Nonlinear Inequalities and Systems of Inequalities 


823  


832  (8) 


840  (6) 


846  (3) 

Cumulative Review Exercises 


849  
Appendix A Arithmetic Sequences and Series 

1  (10) 
Appendix B Geometric Sequences and Series 

11  (10) 
Appendix C The Binomial Theorem 

21  (8) 
Appendix D Permutations and Combinations 

29  (6) 
Appendix E Probability 

35  
Glossary 

1  (1) 
Index 

1  (1) 
Applications Index 

1  (1) 
Photograph Credits 

1  (1) 
Answers 

1  