Preface 

xi  
An Introduction to Calculators 

xix  

Review of the Real Number System 


1  (44) 


2  (13) 

Operations on Real Numbers 


15  (12) 

Properties of Real Numbers 


27  (18) 


35  (2) 


37  (3) 


40  (3) 


43  (2) 

Linear Equations and Inequalities 


45  (80) 

Linear Equations in One Variable 


46  (8) 


54  (8) 

Applications of Linear Equations 


62  (13) 

More Applications of Linear Equations 


75  (9) 

Linear Inequalities in One Variable 


84  (10) 

Set Operations and Compound Inequalities 


94  (8) 

Absolute Value Equations and Inequalities 


102  (23) 

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


110  (1) 


111  (1) 


112  (4) 


116  (4) 


120  (2) 

Cummulative Review Exercises Chapters 12 


122  (3) 

Graphs, Linear Equations, and Functions 


125  (82) 

The Rectangular Coordinate System 


126  (11) 


137  (14) 

Linear Equations in Two Variables 


151  (14) 

Linear Inequalities in Two Variables 


165  (7) 

Introduction to Functions 


172  (14) 


186  (21) 


195  (1) 


196  (3) 


199  (4) 


203  (2) 

Cumulative Review Exercises Chapters 13 


205  (2) 

Exponents and Polynomials 


207  (83) 

Integer Exponents and Scientific Notation 


208  (14) 

Addition and Subtraction of Polynomials 


222  (6) 


228  (8) 

Multiplication of Polynomials 


236  (8) 

Greatest Common Factors; Factoring by Grouping 


244  (7) 


251  (7) 


258  (6) 

General Methods of Factoring 


264  (4) 

Solving Equations by Factoring 


268  (22) 


277  (2) 


279  (3) 


282  (5) 


287  (1) 

Cumulative Review Exercises Chapters 14 


288  (2) 


290  (66) 

Rational Expressions and Functions; Multiplication and Division 


291  (10) 

Addition and Substraction of Rational Expressions 


301  (8) 


309  (5) 


314  (7) 

Graphs and Equations with Rational Expressions 


321  (9) 

Summary: Exercises on Operations and Equations with Rational Expressions 


329  (1) 

Applications of Rational Expressions 


330  (26) 


342  (1) 


343  (4) 


347  (4) 


351  (1) 

Cumulative Review Exercises Chapters 15 


352  (4) 


356  (67) 

Rational Exponents and Radicals 


357  (10) 

Simplifying Radical Expressions 


367  (11) 

Addition and Substraction of Radical Expressions 


378  (6) 

Multiplication and Division of Radical Expressions 


384  (8) 

Graphs and Equations with Radical Expressions 


392  (11) 


403  (20) 


411  (1) 


412  (4) 


416  (4) 


420  (1) 

Cumulative Review Exercises Chapters 16 


421  (2) 

Quardratic Equations and Inequalities 


423  (57) 


424  (8) 


432  (11) 

Equations Quardratic in Form 


443  (9) 

Formulas and Applications 


452  (10) 


462  (18) 


468  (2) 


470  (3) 


473  (3) 


476  (1) 

Cumulative Review Exercises Chapters 17 


477  (3) 

Graphing Relations and Functions 


480  (88) 


481  (8) 

Quadratic Functions; Translations 


489  (12) 

More About Parabolas; Applications 


501  (12) 

Symmetry; Increasing and Decreasing Functions 


513  (10) 

The Circle and the Ellipse 


523  (10) 

The Hyperbola; Conic Sections 


533  (11) 

Piecewise Linear Functions 


544  (24) 


554  (1) 


554  (6) 


560  (4) 


564  (2) 

Cumulative Review Exercises Chapters 18 


566  (2) 

Polynomial and Rational Functions 


568  (65) 


569  (7) 

Zeros of Polynomial Functions 


576  (9) 

Graphs and Applications of Polynomial Functions 


585  (20) 

Summary: Exercises on Polynomial Functions and Graphs 


604  (1) 

Graphs and Applications of Rational Functions 


605  (28) 


621  (1) 


622  (4) 


626  (3) 


629  (1) 

Cumulative Review Exercises Chapters 19 


630  (3) 

Inverse, Exponential, and Logarithmic Functions 


633  (68) 


634  (10) 


644  (10) 


654  (8) 


662  (8) 


670  (10) 

Exponential and Logarithmic Equations; Applications 


680  (21) 


688  (1) 


689  (4) 


693  (4) 


697  (2) 

Cumulative Review Exercises Chapters 110 


699  (2) 

Systems of Equations and Inequalities 


701  (68) 

Linear Systems of Equations in Two Variables 


702  (12) 

Linear Systems of Equations in Three Variables 


714  (7) 

Applications of Linear Systems of Equations 


721  (15) 

Nonlinear Systems of Equations 


736  (8) 

SecondDegree Inequalities, Systems of Inequalities, and Linear Programming 


744  (25) 


755  (1) 


756  (5) 


761  (4) 


765  (2) 

Cumulative Review Exercises Chapters 111 


767  (2) 

Matrices and Determinants 


769  (63) 

Matrix Solution of Linear Systems 


770  (11) 


781  (13) 


794  (10) 


804  (6) 


810  (22) 


821  (2) 


823  (3) 


826  (3) 


829  (1) 

Cumulative Review Exercises Chapters 112 


830  (2) 

Further Topics in Algebra 


832  


833  (8) 


841  (7) 


848  (11) 


859  (7) 


866  (6) 


872  (8) 


880  


889  (1) 


890  (4) 


894  (3) 


897  (2) 

Cumulative Review Exercises Chapters 113 


899  
Answers to Selected Exercises 

A1  
Index 

I1  
Index of Applications 

I11  