Preface 

xi  
An Introduction to Calculators 

xxi  


1  (87) 


2  (12) 

Exponents, Order of Operations, and Inequality 


14  (7) 

Variables, Expressions, and Equations 


21  (6) 

Real Numbers and the Number Line 


27  (10) 

Addition and Subtraction of Real Numbers 


37  (12) 

Multiplication and Division of Real Numbers 


49  (12) 

Properties of Real Numbers 


61  (8) 


69  (19) 


75  (1) 


76  (3) 


79  (6) 


85  (3) 

Linear Equations and Applications 


88  (73) 

The Addition and Multiplication Properties of Equality 


89  (8) 

More on Solving Linear Equations 


97  (8) 

An Introduction to Applications of Linear Equations 


105  (11) 

Formulas and Applications from Geometry 


116  (10) 


126  (9) 

More about Problem Solving 


135  (26) 


149  (1) 


150  (4) 


154  (4) 


158  (1) 

Cumulative Review Exercises Chapters 12 


159  (2) 

Linear Inequalities and Absolute Value 


161  (38) 

Linear Inequalities in One Variable 


162  (11) 

Set Operations and Compound Inequalities 


173  (8) 

Absolute Value Equations and Inequalities 


181  (18) 

Summary: Exercises on Solving Linear and Absolute Value Equations and Inequalities 


190  (1) 


190  (2) 


192  (2) 


194  (1) 


195  (1) 

Cumulative Review Exercises Chapters 13 


196  (3) 

Linear Equations in Two Variables 


199  (48) 

Linear Equations in Two Variables 


200  (12) 

Graphing Linear Equations in Two Variables 


212  (12) 


224  (23) 


237  (1) 


238  (3) 


241  (2) 


243  (1) 

Cumulative Review Exercises Chapters 14 


244  (3) 

Polynomials and Exponents 


247  (65) 

Addition and Subtraction of Polynomials; Graphing Simple Polynomials 


248  (10) 

The Product Rule and Power Rules for Exponents 


258  (8) 

Multiplication of Polynomials 


266  (6) 


272  (5) 

Integer Exponents and the Quotient Rule 


277  (8) 


285  (9) 

An Application of Exponents: Scientific Notation 


294  (18) 


300  (1) 


301  (3) 


304  (4) 


308  (1) 

Cumulative Review Exercises Chapters 15 


309  (3) 

Factoring and Applications 


312  (59) 

The Greatest Common Factor; Factoring by Grouping 


313  (7) 


320  (5) 

More on Factoring Trinomials 


325  (7) 


332  (10) 

Summary: Exercises on Factoring 


340  (2) 

Solving Quadratic Equations by Factoring 


342  (7) 

Applications of Quadratic Equations 


349  (22) 


360  (1) 


361  (2) 


363  (5) 


368  (1) 

Cumulative Review Exercises Chapters 16 


369  (2) 


371  (75) 

The Fundamental Property of Rational Expressions 


372  (9) 

Multiplication and Division of Rational Expressions 


381  (7) 

The Least Common Denominator 


388  (5) 

Addition and Subtraction of Rational Expressions 


393  (8) 


401  (8) 

Solving Equations Involving Rational Expressions 


409  (11) 

Summary: Exercises on Operations and Equations with Rational Expressions 


417  (3) 

Applications of Rational Expressions 


420  (26) 


434  (1) 


435  (4) 


439  (4) 


443  (1) 

Cumulative Review Exercises Chapters 17 


444  (2) 

Equations of Lines, Inequalities, and Functions 


446  (63) 

Review of Graphs and Slopes of Lines 


447  (16) 


463  (14) 

Linear Inequalities in Two Variables 


477  (7) 


484  (25) 


498  (1) 


498  (3) 


501  (4) 


505  (2) 

Cumulative Review Exercises Chapters 18 


507  (2) 


509  (85) 

Solving Systems of Linear Equations by Graphing 


510  (9) 

Solving Systems of Linear Equations by Substitution 


519  (6) 

Solving Systems of Linear Equations by Elimination 


525  (8) 

Linear Systems of Equations in Three Variables 


533  (7) 

Applications of Linear Systems of Equations 


540  (15) 

Solving Linear Systems of Equations by Matrix Methods 


555  (10) 

Determinants and Cramer's Rule 


565  (29) 


577  (1) 


578  (6) 


584  (5) 


589  (1) 

Cumulative Review Exercises Chapters 19 


590  (4) 


594  (59) 


595  (11) 

Multiplication and Division of Radicals 


606  (7) 

Addition and Subtraction of Radicals 


613  (5) 

Rationalizing the Denominator 


618  (4) 

Simplifying Radical Expressions 


622  (6) 

Solving Equations with Radicals 


628  (10) 


638  (15) 


643  (1) 


644  (3) 


647  (3) 


650  (1) 

Cumulative Review Exercises Chapters 110 


650  (3) 

Quadratic Equations, Inequalities, and Graphs 


653  (94) 

Solving Quadratic Equations by the Square Root Property 


654  (5) 

Solving Quadratic Equations by Completing the Square 


659  (6) 

Solving Quadratic Equations by the Quadratic Formula 


665  (10) 


675  (8) 

Equations Quadratic in Form 


683  (8) 

Formulas and Applications 


691  (10) 

Graphs of Quadratic Functions 


701  (10) 

More about Parabolas; Applications 


711  (12) 


723  (24) 


730  (1) 


731  (6) 


737  (5) 


742  (2) 

Cumulative Review Exercises Chapters 111 


744  (3) 

Inverse, Exponential, and Logarithmic Functions 


747  (68) 


748  (10) 


758  (10) 


768  (8) 


776  (8) 


784  (10) 

Exponential and Logarithmic Equations; Applications 


794  (21) 


802  (1) 


803  (4) 


807  (4) 


811  (2) 

Cumulative Review Exercises Chapters 112 


813  (2) 


815  (47) 

The Circle and the Ellipse 


816  (8) 

The Hyperbola and Square Root Functions 


824  (11) 

Nonlinear Systems of Equations 


835  (9) 

SecondDegree Inequalities; Systems of Inequalities 


844  (18) 


851  (1) 


852  (4) 


856  (2) 


858  (1) 

Cumulative Review Exercises Chapters 113 


859  (3) 


862  (43) 


863  (8) 


871  (7) 


878  (11) 


889  (16) 


896  (1) 


897  (2) 


899  (3) 


902  (1) 

Cumulative Review Exercises Chapters 114 


903  (2) 
Appendix A Review of Decimals and Percents 

905  (4) 
Appendix B Sets 

909  (5) 
Appendix C Joint and Combined Variation 

914  (5) 
Appendix D Synthetic Division 

919  (5) 
Appendix E Review of Exponents, Polynomials, and Factoring (Transition from Beginning to Intermediate Algebra) 

924  
Answers to Selected Exercises 

1  (1) 
Index 

1  (9) 
Index of Applications 

10  