To the Student 

i  
Preface 

xiii  
Acknowledgments 

xx  
Diagnostic Pretest 

xxiv  

A Brief Review of Arithmetic Skills 


1  (66) 


2  (8) 

Adding and Subtracting Fractions 


10  (10) 

Multiplying and Dividing Fractions 


20  (8) 


28  (12) 

How Am I Doing? Sections 0.10.4 


39  (1) 


40  (7) 


47  (5) 

Using the Mathematics Blueprint for Problem Solving 


52  (15) 


60  (2) 

Chapter 0 Review Problems 


62  (3) 

How Am I Doing? Chapter 0 Test 


65  (2) 

Real Numbers and Variables 


67  (66) 


68  (11) 


79  (5) 

Multiplying and Dividing Real Numbers 


84  (10) 


94  (4) 


98  (5) 

How Am I Doing? Sections 1.11.5 


102  (1) 

Using the Distributive Property to Simplify Algebraic Expressions 


103  (5) 


108  (5) 

Using Substitution to Evaluate Algebraic Expressions and Formulas 


113  (8) 


121  (12) 


126  (1) 

Chapter 1 Review Problems 


127  (4) 

How Am I Doing? Chapter 1 Test 


131  (2) 

Equations and Inequalities 


133  (58) 

The Addition Principle of Equality 


134  (6) 

The Multiplication Principle of Equality 


140  (6) 

Using the Addition and Multiplication Principles Together 


146  (7) 

Solving Equations with Fractions 


153  (9) 

How Am I Doing? Sections 2.12.4 


161  (1) 


162  (8) 

Writing and Graphing Inequalities 


170  (5) 


175  (16) 


184  (1) 

Chapter 2 Review Problems 


185  (4) 

How Am I Doing? Chapter 2 Test 


189  (1) 

Cumulative Test for Chapters 02 


190  (1) 


191  (60) 

Translating English Phrases into Algebraic Expressions 


192  (6) 

Using Equations to Solve Word Problems 


198  (9) 

Solving Word Problems: Comparisons 


207  (7) 

How Am I Doing? Sections 3.13.3 


213  (1) 

Solving Word Problems: The Value of Money and Percents 


214  (10) 

Solving Word Problems Using Geometric Formulas 


224  (11) 

Using Inequalities to Solve Word Problems 


235  (16) 


242  (1) 

Chapter 3 Review Problems 


243  (5) 

How Am I Doing? Chapter 3 Test 


248  (2) 

Cumulative Test for Chapters 03 


250  (1) 

Exponents and Polynomials 


251  (52) 


252  (9) 

Negative Exponents and Scientific Notation 


261  (7) 

Fundamental Polynomial Operations 


268  (7) 

How Am I Doing? Sections 4.14.3 


274  (1) 


275  (6) 

Multiplication: Special Cases 


281  (7) 


288  (15) 


296  (1) 

Chapter 4 Review Problems 


297  (4) 

How Am I Doing? Chapter 4 Test 


301  (1) 

Cumulative Test for Chapters 04 


302  (1) 


303  (52) 


304  (5) 


309  (5) 

Factoring Trinomials of the Form x2 + bx + c 


314  (7) 

Factoring Trinomials of the Form ax2 + bx + c 


321  (7) 

How Am I Doing? Sections 5.15.4 


327  (1) 

Special Cases of Factoring 


328  (6) 

A Brief Review of Factoring 


334  (4) 

Solving Quadratic Equations by Factoring 


338  (17) 


348  (1) 

Chapter 5 Review Problems 


349  (4) 

How Am I Doing? Chapter 5 Test 


353  (1) 

Cumulative Test for Chapters 05 


354  (1) 

Rational Expressions and Equations 


355  (50) 

Simplifying Rational Expressions 


356  (6) 

Multiplying and Dividing Rational Expressions 


362  (5) 

Adding and Subtracting Rational Expressions 


367  (9) 

How Am I Doing? Sections 6.16.3 


375  (1) 

Simplifying Complex Rational Expressions 


376  (5) 

Solving Equations Involving Rational Expressions 


381  (5) 

Ratio, Proportion, and Other Applied Problems 


386  (19) 


396  (2) 

Chapter 6 Review Problems 


398  (5) 

How Am I Doing? Chapter 6 Test 


403  (1) 

Cumulative Test for Chapters 06 


404  (1) 


405  (66) 

The Rectangular Coordinate System 


406  (10) 

Graphing Linear Equations 


416  (10) 


426  (13) 

How Am I Doing? Sections 7.17.3 


437  (2) 

Writing the Equation of a Line 


439  (4) 

Graphing Linear Inequalities 


443  (5) 


448  (23) 


460  (2) 

Chapter 7 Review Problems 


462  (5) 

How Am I Doing? Chapter 7 Test 


467  (2) 

Cumulative Test for Chapters 07 


469  (2) 


471  (46) 

Solving a System of Equations in Two Variables by Graphing 


472  (8) 

Solving a System of Equations in Two Variables by the Substitution Method 


480  (6) 

Solving a System of Equations in Two Variables by the Addition Method 


486  (9) 

How Am I Doing? Sections 8.18.3 


494  (1) 

Review of Methods for Solving Systems of Equations 


495  (5) 

Solving Word Problems Using Systems of Equations 


500  (17) 


509  (2) 

Chapter 8 Review Problems 


511  (4) 

How Am I Doing? Chapter 8 Test 


515  (1) 

Cumulative Test for Chapters 08 


516  (1) 


517  (52) 


518  (5) 

Simplifying Radical Expressions 


523  (5) 

Adding and Subtracting Radical Expressions 


528  (4) 

Multiplying Radical Expressions 


532  (6) 

How Am I Doing? Sections 9.19.4 


537  (1) 

Dividing Radical Expressions 


538  (6) 

The Pythagorean Theorem and Radical Equations 


544  (8) 

Word Problems Involving Radicals: Direct and Inverse Variation 


552  (17) 


562  (1) 

Chapter 9 Review Problems 


563  (4) 

How Am I Doing? Chapter 9 Test 


567  (1) 

Cumulative Test for Chapters 09 


568  (1) 


569  (48) 

Introduction to Quadratic Equations 


570  (8) 

Using the Square Root Property and Completing the Square to Find Solutions 


578  (6) 

Using the Quadratic Formula to find solutions 


584  (8) 

How Am I Doing? Sections 10.110.3 


591  (1) 

Graphing Quadratic Equations 


592  (9) 

Formulas and Applied Problems 


601  (16) 


608  (2) 

Chapter 10 Review Problems 


610  (4) 

How Am I Doing? Chapter 10 Test 


614  (1) 

Cumulative Test for Chapters 010 


615  (2) 
Practice Final Examination 

617  
Beginning Algebra Glossary 

1  (1) 
Appendix A: Table of Square Roots 

1  (1) 
Appendix B: Metric Measurement and Conversion of Units 

2  (4) 
Appendix C: Interpreting Data from Tables, Charts, and Graphs 

6  (9) 
Appendix D: Inductive and Deductive Reasoning 

15  
Solutions to Practice Problems 

1  (1) 
Answers to Selected Exercises 

1  (1) 
Applications Index 

1  (4) 
Subject Index 

5  
Photo Credits 

1  