To the Student 

i  
Preface 

xiii  
Acknowledgments 

xx  
Diagnostic Pretest 

xxiv  


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) 


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) 

Systems of Linear Equations and Inequalities 


271  (52) 

Systems of Linear Equations in Two Variables 


272  (14) 

Systems of Linear Equations in Three Variables 


286  (8) 

How Am I Doing? Sections 4.14.2 


293  (1) 

Applications of Systems of Linear Equations 


294  (11) 

Systems of Linear Inequalities 


305  (18) 


314  (2) 

Chapter 4 Review Problems 


316  (4) 

How Am I Doing? Chapter 4 Test 


320  (1) 

Cumulative Test for Chapters 04 


321  (2) 

Exponents and Polynomials 


323  (52) 


324  (9) 

Negative Exponents and Scientific Notation 


333  (7) 

Fundamental Polynomial Operations 


340  (7) 

How Am I Doing? Sections 5.15.3 


346  (1) 


347  (6) 

Multiplication: Special Cases 


353  (7) 


360  (15) 


368  (1) 

Chapter 5 Review Problems 


369  (4) 

How Am I Doing? Chapter 5 Test 


373  (1) 

Cumulative Test for Chapters 05 


374  (1) 


375  (52) 


376  (5) 


381  (5) 

Factoring Trinomials of the Form X2 + bx + c 


386  (7) 

Factoring Trinomials of the Form ax2 + bx + c 


393  (7) 

How Am I Doing? Sections 6.16.4 


399  (1) 

Special Cases of Factoring 


400  (6) 

A Brief Review of Factoring 


406  (4) 

Solving Quadratic Equations by Factoring 


410  (17) 


420  (1) 

Chapter 6 Review Problems 


421  (4) 

How Am I Doing? Chapter 6 Test 


425  (1) 

Cumulative Test for Chapters 06 


426  (1) 

Rational Expressions and Equations 


427  (50) 

Simplifying Rational Expressions 


428  (6) 

Multiplying and Dividing Rational Expressions 


434  (5) 

Adding and Subtracting Rational Expressions 


439  (9) 

How Am I Doing? Sections 7.17.3 


447  (1) 

Simplifying Complex Rational Expressions 


448  (5) 

Solving Equations Involving Rational Expressions 


453  (5) 

Ratio, Proportion, and Other Applied Problems 


458  (19) 


468  (2) 

Chapter 7 Review Problems 


470  (5) 

How Am I Doing? Chapter 7 Test 


475  (1) 

Cumulative Test for Chapters 07 


476  (1) 

Rational Exponents and Radicals 


477  (66) 


478  (7) 

Radical Expressions and Functions 


485  (8) 

Simplifying, Adding, and Subtracting Radicals 


493  (6) 

Multiplying and Dividing Radicals 


499  (11) 

How Am I Doing? Sections 8.18.4 


509  (1) 


510  (6) 


516  (8) 


524  (19) 


532  (3) 

Chapter 8 Review Problems 


535  (4) 

How Am I Doing? Chapter 8 Test 


539  (2) 

Cumulative Test for Chapters 08 


541  (2) 

Quadratic Equations and Inequalities 


543  (82) 


544  (7) 

The Quadratic Formula and Solutions to Quadratic Equations 


551  (9) 

Equations That Can Be Transformed into Quadratic Form 


560  (8) 

How Am I Doing? Sections 9.19.3 


567  (1) 

Formulas and Applications 


568  (11) 


579  (9) 

Compound Inequalities and Quadratic Inequalities 


588  (12) 

Absolute Value Equations and Inequalities 


600  (25) 


612  (4) 

Chapter 9 Review Problems 


616  (5) 

How Am I Doing? Chapter 9 Test 


621  (2) 

Cumulative Test for Chapters 09 


623  (2) 


625  (54) 

The Distance Formula and the Circle 


626  (8) 


634  (11) 


645  (9) 

How Am I Doing? Sections 10.110.3 


653  (1) 


654  (8) 

Nonlinear Systems of Equations 


662  (17) 


669  (3) 

Chapter 10 Review Problems 


672  (3) 

How Am I Doing? Chapter 10 Test 


675  (2) 

Cumulative Test for Chapters 010 


677  (2) 

Additional Properties of Functions 


679  (44) 


680  (6) 

General Graphing Procedures for Functions 


686  (9) 

How Am I Doing? Sections 11.111.2 


694  (1) 

Algebraic Operations on Functions 


695  (7) 


702  (21) 


712  (2) 

Chapter 11 Review Problems 


714  (5) 

How Am I Doing? Chapter 11 Test 


719  (2) 

Cumulative Test for Chapters 011 


721  (2) 

Logarithmic and Exponential Functions 


723  (52) 


724  (9) 


733  (7) 


740  (8) 

How Am I Doing? Sections 12.112.3 


747  (1) 

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


748  (8) 

Exponential and Logarithmic Equations 


756  (19) 


768  (2) 

Chapter 12 Review Problems 


770  (2) 

How Am I Doing? Chapter 12 Test 


772  (1) 

Cumulative Test for Chapters 012 


773  (2) 

Practice Final Examination 


775  


1  (1) 

Appendix A: Foundations for Intermediate Algebra 


1  (42) 

Integer Exponents, Square Roots, Order of Operations, and Scientific Notation 


1  (12) 


13  (7) 


20  (10) 

Special Cases of Factoring 


30  (8) 

The PointSlope Form of a Line 


38  (5) 

Appendix B: Using the Mathematics Blueprint for Problem Solving 


43  (7) 

Appendix C: Practice with Operations of Whole Numbers 


50  (2) 


52  (2) 

Table D1: Table of Square Roots 


52  (1) 

Table D2: Exponential Values 


53  (1) 

Appendix E: Determinants and Cramer's Rule 


54  (8) 

Appendix F: Solving Systems of Linear Equations Using Matrices 


62  (5) 


67  
Solutions to Practice Problems 

1  (1) 
Answers to Selected Exercises 

1  (1) 
Applications Index 

1  (4) 
Subject Index 

5  
Photo Credits 

1  