To the Student 

i  
Preface 

xv  
Acknowledgments 

xxi  
Diagnostic Pretest 

xxv  


1  (58) 


2  (9) 

Adding and Subtracting Fractions 


11  (11) 

Multiplying and Dividing Fractions 


22  (9) 

How Am I Doing? Sections 0.10.3 


30  (1) 


31  (11) 

Percents, Rounding, and Estimating 


42  (17) 


53  (2) 

Chapter 0 Review Problems 


55  (2) 

How Am I Doing? Chapter 0 Test 


57  (2) 

Real Numbers and Variables 


59  (66) 


60  (11) 


71  (5) 

Multiplying and Dividing Real Numbers 


76  (10) 


86  (4) 


90  (5) 

How Am I Doing? Sections 1.11.5 


94  (1) 

Using the Distributive Property to Simplify Algebraic Expressions 


95  (5) 


100  (5) 

Using Substitution to Evaluate Algebraic Expressions and Formulas 


105  (8) 


113  (12) 


118  (1) 

Chapter 1 Review Problems 


119  (4) 

How Am I Doing? Chapter 1 Test 


123  (2) 

Equations, Inequalities, and Applications 


125  (78) 

The Addition Principle of Equality 


126  (6) 

The Multiplication Principle of Equality 


132  (6) 

Using the Addition and Multiplication Principles Together 


138  (7) 

Solving Equations with Fractions 


145  (9) 

How Am I Doing? Sections 2.12.4 


153  (1) 

Translating English Phrases into Algebraic Expressions 


154  (6) 

Using Equations to Solve Word Problems 


160  (9) 

Solving Word Problems Using Geometric Formulas 


169  (12) 

Solving Inequalities in One Variable 


181  (22) 


193  (2) 

Chapter 2 Review Problems 


195  (5) 

How Am I Doing? Chapter 2 Test 


200  (2) 

Cumulative Test for Chapters 02 


202  (1) 


203  (68) 

The Rectangular Coordinate System 


204  (12) 

Graphing Linear Equations 


216  (10) 


226  (13) 

How Am I Doing? Sections 3.13.3 


237  (2) 

Writing the Equation of a Line 


239  (4) 

Graphing Linear Inequalities 


243  (5) 


248  (23) 


260  (2) 

Chapter 3 Review Problems 


262  (5) 

How Am I Doing? Chapter 3 Test 


267  (2) 

Cumulative Test for Chapters 03 


269  (2) 


271  (46) 

Solving a System of Equations in Two Variables by Graphing 


272  (8) 

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


280  (6) 

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


286  (9) 

How Am I Doing? Sections 4.14.3 


294  (1) 

Review of Methods for Solving Systems of Equations 


295  (5) 

Solving Word Problems Using Systems of Equations 


300  (17) 


309  (2) 

Chapter 4 Review Problems 


311  (4) 

How Am I Doing? Chapter 4 Test 


315  (1) 

Cumulative Test for Chapters 04 


316  (1) 

Exponents and Polynomials 


317  (52) 


318  (9) 

Negative Exponents and Scientific Notation 


327  (7) 

Fundamental Polynomial Operations 


334  (7) 

How Am I Doing? Sections 5.15.3 


340  (1) 


341  (6) 

Multiplication: Special Cases 


347  (7) 


354  (15) 


362  (1) 

Chapter 5 Review Problems 


363  (4) 

How Am I Doing? Chapter 5 Test 


367  (1) 

Cumulative Test for Chapters 05 


368  (1) 


369  (52) 


370  (5) 


375  (5) 

Factoring Trinomials of the Form x2 + bx + c 


380  (7) 

Factoring Trinomials of the Form ax2 + bx + c 


387  (7) 

How Am I Doing? Sections 6.16.4 


393  (1) 

Special Cases of Factoring 


394  (6) 

A Brief Review of Factoring 


400  (4) 

Solving Quadratic Equations by Factoring 


404  (17) 


414  (1) 

Chapter 6 Review Problems 


415  (4) 

How Am I Doing? Chapter 6 Test 


419  (1) 

Cumulative Test for Chapters 06 


420  (1) 

Rational Expressions and Equations 


421  (50) 

Simplifying Rational Expressions 


422  (6) 

Multiplying and Dividing Rational Expressions 


428  (5) 

Adding and Subtracting Rational Expressions 


433  (9) 

How Am I Doing? Sections 7.17.3 


441  (1) 

Simplifying Complex Rational Expressions 


442  (5) 

Solving Equations Involving Rational Expressions 


447  (5) 

Ratio, Proportion, and Other Applied Problems 


452  (19) 


462  (2) 

Chapter 7 Review Problems 


464  (5) 

How Am I Doing? Chapter 7 Test 


469  (1) 

Cumulative Test for Chapters 07 


470  (1) 


471  (52) 


472  (5) 

Simplifying Radical Expressions 


477  (5) 

Adding and Subtracting Radical Expressions 


482  (4) 

Multiplying Radical Expressions 


486  (6) 

How Am I Doing? Sections 8.18.4 


491  (1) 

Dividing Radical Expressions 


492  (6) 

The Pythagorean Theorem and Radical Equations 


498  (8) 

Word Problems Involving Radicals: Direct and Inverse Variation 


506  (17) 


516  (1) 

Chapter 8 Review Problems 


517  (4) 

How Am I Doing? Chapter 8 Test 


521  (1) 

Cumulative Test for Chapters 08 


522  (1) 


523  (48) 

Introduction to Quadratic Equations 


524  (8) 

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


532  (6) 

Using the Quadratic Formula to Find Solutions 


538  (8) 

How Am I Doing? Sections 9.19.3 


545  (1) 

Graphing Quadratic Equations 


546  (9) 

Formulas and Applied Problems 


555  (16) 


562  (2) 

Chapter 9 Review Problems 


564  (4) 

How Am I Doing? Chapter 9 Test 


568  (1) 

Cumulative Test for Chapters 09 


569  (2) 
Practice Final Examination 

571  
Beginning Algebra: Early Graphing Glossary 

1  (1) 
Appendix A: Table of Square Roots 

1  (2) 
Appendix B: Using the Mathematics Blueprint for Problem Solving 

3  (7) 
Appendix C: Practice with Operations of Whole Numbers 

10  (2) 
Appendix D: The PointSlope Form of a Line 

12  
Solutions to Practice Problems 

1  (1) 
Answers to Selected Exercises 

1  (1) 
Applications Index 

1  (4) 
Subject Index 

5  
Photo Credits 

1  