How Am I Doing? Guide to Math Success 

To the Student 

i  
Preface 

xiii  
Acknowledgments 

xx  
Diagnostic Pretest 

xxiii  


1  (56) 


2  (7) 

Operations with Real Numbers 


9  (8) 

Powers, Square Roots, and the Order of Operations 


17  (9) 

How Am I Doing? Sections 1.11.3 


25  (1) 

Integer Exponents and Scientific Notation 


26  (11) 

Operations with Variables and Grouping Symbols 


37  (6) 

Evaluating Variable Expressions and Formulas 


43  (14) 


52  (2) 

Chapter 1 Review Problems 


54  (2) 

How Am I Doing? Chapter 1 Test 


56  (1) 

Linear Equations and Inequalities 


57  (68) 

FirstDegree Equations with One Unknown 


58  (8) 

Literal Equations and Formulas 


66  (6) 


72  (6) 

Using Equations to Solve Word Problems 


78  (7) 

How Am I Doing? Sections 2.12.4 


84  (1) 

Solving MoreInvolved Word Problems 


85  (9) 


94  (9) 


103  (6) 

Absolute Value Inequalities 


109  (16) 


117  (2) 

Chapter 2 Review Problems 


119  (4) 

How Am I Doing? Chapter 2 Test 


123  (1) 

Cumulative Test for Chapters 12 


124  (1) 

Equations and Inequalities in Two Variables and Functions 


125  (70) 

Graphing Linear Equations with Two Unknowns 


126  (9) 


135  (8) 

Graphs and the Equations of a Line 


143  (11) 

How Am I Doing? Sections 3.13.3 


153  (1) 

Linear Inequalities in Two Variables 


154  (6) 


160  (9) 

Graphing Functions from Equations and Tables of Data 


169  (26) 


184  (2) 

Chapter 3 Review Problems 


186  (5) 

How Am I Doing? Chapter 3 Test 


191  (2) 

Cumulative Test for Chapters 13 


193  (2) 

Systems of Linear Equations and Inequalities 


195  (52) 

Systems of Linear Equations in Two Variables 


196  (14) 

Systems of Linear Equations in Three Variables 


210  (8) 

How Am I Doing? Sections 4.14.2 


217  (1) 

Applications of Systems of Linear Equations 


218  (11) 

Systems of Linear Inequalities 


229  (18) 


238  (2) 

Chapter 4 Review Problems 


240  (4) 

How Am I Doing? Chapter 4 Test 


244  (1) 

Cumulative Test for Chapters 14 


245  (2) 


247  (60) 

Introduction to Polynomials and Polynomial Functions: Adding, Subtracting, and Multiplying 


248  (7) 


255  (5) 


260  (4) 

Removing Common Factors; Factoring by Grouping 


264  (6) 


270  (8) 

How Am I Doing? Sections 5.15.5 


277  (1) 

Special Cases of Factoring 


278  (7) 

Factoring a Polynomial Completely 


285  (4) 

Solving Equations and Applications Using Polynomials 


289  (18) 


298  (2) 

Chapter 5 Review Problems 


300  (3) 

How Am I Doing? Chapter 5 Test 


303  (2) 

Cumulative Test for Chapters 15 


305  (2) 

Rational Expressions and Equations 


307  (48) 

Rational Expressions and Functions: Simplifying, Multiplying, and Dividing 


308  (8) 

Adding and Subtracting Rational Expressions 


316  (7) 

Complex Rational Expressions 


323  (7) 

How Am I Doing? Sections 6.16.3 


329  (1) 


330  (5) 

Applications: Formulas and Advanced Ratio Exercises 


335  (20) 


344  (2) 

Chapter 6 Review Problems 


346  (6) 

How Am I Doing? Chapter 6 Test 


352  (1) 

Cumulative Test for Chapters 16 


353  (2) 

Rational Exponents and Radicals 


355  (66) 


356  (7) 

Radical Expressions and Functions 


363  (8) 

Simplifying, Adding, and Subtracting Radicals 


371  (6) 

Multiplying and Dividing Radicals 


377  (11) 

How Am I Doing? Sections 7.17.4 


387  (1) 


388  (6) 


394  (8) 


402  (19) 


410  (3) 

Chapter 7 Review Problems 


413  (4) 

How Am I Doing? Chapter 7 Test 


417  (2) 

Cumulative Test for Chapters 17 


419  (2) 

Quadratic Equations and Inequalities 


421  (64) 


422  (7) 

The Quadratic Formula and Solutions to Quadratic Equations 


429  (9) 

Equations That Can Be Transformed into Quadratic Form 


438  (8) 

How Am I Doing? Sections 8.18.3 


445  (1) 

Formulas and Applications 


446  (11) 


457  (9) 

Quadratic Inequalities in One Variable 


466  (19) 


474  (3) 

Chapter 8 Review Problems 


477  (4) 

How Am I Doing? Chapter 8 Test 


481  (2) 

Cumulative Test for Chapters 18 


483  (2) 


485  (54) 

The Distance Formula and the Circle 


486  (8) 


494  (11) 


505  (9) 

How Am I Doing? Sections 9.19.3 


513  (1) 


514  (8) 

Nonlinear Systems of Equations 


522  (17) 


529  (3) 

Chapter 9 Review Problems 


532  (3) 

How Am I Doing? Chapter 9 Test 


535  (2) 

Cumulative Test for Chapters 19 


537  (2) 

Additional Properties of Functions 


539  (44) 


540  (6) 

General Graphing Procedures for Functions 


546  (9) 

How Am I Doing? Sections 10.110.2 


554  (1) 

Algebraic Operations on Functions 


555  (7) 


562  (21) 


572  (2) 

Chapter 10 Review Problems 


574  (5) 

How Am I Doing? Chapter 10 Test 


579  (2) 

Cumulative Test for Chapters 110 


581  (2) 

Logarithmic and Exponential Functions 


583  (52) 


584  (9) 


593  (7) 


600  (8) 

How Am I Doing? Sections 11.111.3 


607  (1) 

Common Logarithms, Natural Logarithms, and Change of Base of Logarithms 


608  (8) 

Exponential and Logarithmic Equations 


616  (19) 


628  (2) 

Chapter 11 Review Problems 


630  (2) 

How Am I Doing? Chapter 11 Test 


632  (1) 

Cumulative Test for Chapters 111 


633  (2) 

Practice Final Examination 


635  

Intermediate Algebra Glossary 


1  (1) 


1  (2) 

Table A1: Table of Square Roots 


1  (7) 

Table A2: Exponential Values 


8  

Appendix B: Determinants and Cramer's Rule 


3  (8) 

Appendix C: Solving Systems of Linear Equations Using Matrices 


11  
Solutions to Practice Problems 

1  (1) 
Answers to Selected Exercises 

1  (1) 
Applications Index 

1  (4) 
Subject Index 

5  
Photo Credits 

1  