Preface 

xi  
To the Student: Success in Algebra 

xxi  
An Introduction to Graphics Calculators 

xxiii  


1  (40) 


2  (11) 

Operations on Real Numbers 


13  (13) 

Properties of Real Numbers 


26  (15) 


33  (1) 


33  (1) 


33  (1) 


33  (2) 


35  (4) 


39  (2) 

Linear Equations and Inequalities 


41  (82) 

Linear Equations in One Variable 


42  (8) 

Formulas and Topics from Geometry 


50  (10) 

Applications of Linear Equations 


60  (12) 

More Applications of Linear Equations 


72  (9) 

Linear Inequalities in One Variable 


81  (10) 

Set Operations and Compound Inequalities 


91  (7) 

Absolute Value Equations and Inequalities 


98  (25) 

Summary: Solving Linear and Absolute Value Equations and Inequalities 


108  (1) 


109  (1) 


109  (1) 


109  (1) 


110  (3) 


113  (6) 


119  (1) 

Cumulative Review (Chapters 12) 


120  (3) 

Exponents and Polynomials 


123  (78) 


124  (7) 

Further Properties of Exponents 


131  (9) 

Addition and Subtraction of Polynomials 


140  (9) 

Multiplication of Polynomials 


149  (8) 

Greatest Common Factors; Factoring by Grouping 


157  (7) 


164  (7) 


171  (6) 

General Methods of Factoring 


177  (5) 

Solving Equations by Factoring 


182  (19) 


190  (1) 


190  (1) 


190  (1) 


190  (2) 


192  (5) 


197  (1) 

Cumulative Review (Chapters 13) 


198  (3) 


201  (60) 

Multiplication and Division of Rational Expressions 


202  (10) 

Addition and Subtraction of Rational Expressions 


212  (6) 


218  (6) 


224  (5) 


229  (5) 

Equations with Rational Expressions 


234  (6) 

Summary of Rational Expressions: Equations Versus Expressions 


239  (1) 


240  (21) 


250  (1) 


250  (1) 


250  (3) 


253  (4) 


257  (1) 

Cumulative Review (Chapters 14) 


258  (3) 


261  (60) 

Rational Exponents and Radicals 


262  (7) 

More About Rational Exponents and Radicals 


269  (5) 


274  (8) 

Adding and Subtracting Radical Expressions 


282  (5) 

Multiplying and Dividing Radical Expressions 


287  (8) 


295  (7) 


302  (19) 


310  (1) 


310  (1) 


310  (1) 


310  (3) 


313  (4) 


317  (1) 

Cumulative Review (Chapters 15) 


318  (3) 

Quadratic Equations and Inequalities 


321  (52) 


322  (8) 


330  (10) 

Equations Quadratic in Form 


340  (8) 

Formulas and Applications 


348  (9) 


357  (16) 


363  (1) 


363  (1) 


363  (3) 


366  (3) 


369  (1) 

Cumulative Review (Chapters 16) 


370  (3) 


373  (78) 

The Rectangular Coordinate System 


374  (15) 


389  (14) 


403  (10) 


413  (8) 

Introduction to Functions 


421  (12) 


433  (18) 


442  (1) 


442  (1) 


442  (1) 


442  (2) 


444  (3) 


447  (2) 

Cumulative Review (Chapters 17) 


449  (2) 

Systems of Linear Equations 


451  (62) 

Linear Systems of Equations in Two Variables 


452  (10) 

Linear Systems of Equations in Three Variables 


462  (7) 

Applications of Linear Systems of Equations 


469  (11) 

Solution of Linear Systems of Equations by Matrix Methods 


480  (9) 


489  (6) 

Solution of Linear Systems of Equations by DeterminantsCramer's Rule 


495  (18) 


501  (1) 


501  (1) 


501  (1) 


502  (3) 


505  (4) 


509  (1) 

Cumulative Review (Chapters 18) 


510  (3) 

Quadratic Functions and The Conic Sections 


513  (74) 

Quadratic Functions: Paraboles 


514  (10) 

More About Parabolas and Their Applications 


524  (11) 

The Circle and the Ellipse 


535  (10) 

The Hyperbola and Square Root Functions 


545  (11) 

Nonlinear Systems of Equations 


556  (10) 

SecondDegree Inequalities and Systems of Inequalities 


566  (21) 


574  (1) 


574  (1) 


574  (3) 


577  (6) 


583  (1) 

Cumulative Review (Chapters 19) 


584  (3) 

Inverse, Exponential, and Logarithmic Functions 


587  (62) 


588  (9) 


597  (9) 


606  (8) 


614  (7) 


621  (9) 

Exponential and Logarithmic Equations and Their Applications 


630  (19) 


638  (1) 


638  (1) 


638  (1) 


638  (3) 


641  (4) 


645  (1) 

Cumulative Review (Chapters 110) 


646  (3) 


649  (36) 


650  (7) 


657  (6) 


663  (8) 


671  (14) 


677  (1) 


677  (1) 


677  (1) 


677  (2) 


679  (2) 


681  (1) 

Cumulative Review (Chapters 111) 


682  (3) 
Answers to Selected Exercises 

685  (42) 
Index 

727  