Preface 

ix  
An Introduction to Calculators 

xvii  

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  (79) 

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  (22) 

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


110  (1) 


111  (1) 


112  (4) 


116  (4) 


120  (2) 

Cumulative Review Exercises Chapters 12 


122  (2) 

Exponents and Polynomials 


124  (75) 

Integer Exponents and Scientific Notation 


125  (14) 

Addition and Subtraction of Polynomials 


139  (9) 

Multiplication of Polynomials 


148  (9) 

Greatest Common Factors; Factoring by Grouping 


157  (6) 


163  (7) 


170  (6) 

General Methods of Factoring 


176  (4) 

Solving Equations by Factoring 


180  (19) 


186  (2) 


188  (3) 


191  (5) 


196  (1) 

Cumulative Review Exercises Chapters 13 


197  (2) 


199  (65) 

Multiplication and Division of Rational Expressions 


200  (10) 

Addition and Subtraction of Rational Expressions 


210  (8) 


218  (5) 


223  (6) 


229  (5) 

Equations with Rational Expressions 


234  (6) 

Summary: Exercises on Operations and Equations with Rational Expressions 


239  (1) 

Applications of Rational Expressions 


240  (24) 


252  (1) 


253  (4) 


257  (4) 


261  (1) 

Cumulative Review Exercises Chapters 14 


262  (2) 


264  (63) 

Rational Exponents and Radicals 


265  (10) 

Simplifying Radical Expressions 


275  (9) 

Addition and Subtraction of Radical Expressions 


284  (6) 

Multiplication and Division of Radical Expressions 


290  (8) 

Equations with Radical Expression 


298  (8) 


306  (21) 


315  (1) 


316  (4) 


320  (4) 


324  (1) 

Cumulative Review Exercises Chapters 15 


325  (2) 

Graphs, Linear Equations, and Functions 


327  (85) 

The Rectangular Coordinate System 


328  (13) 


341  (14) 

Linear Equations in Two Variables 


355  (14) 

Linear Inequalities in Two Variables 


369  (7) 

Introduction to Functions 


376  (15) 


391  (21) 


400  (1) 


401  (3) 


404  (4) 


408  (2) 

Cumulative Review Exercises Chapters 16 


410  (2) 

Systems of Linear Equations 


412  (71) 

Linear Systems of Equations in Two Variables 


413  (12) 

Linear Systems of Equations in Three Variables 


425  (7) 

Applications of Linear Systems of Equations 


432  (15) 

Solving Linear Systems of Equations by Matrix Methods 


447  (10) 

Determinants and Cramer's Rule 


457  (26) 


469  (1) 


470  (5) 


475  (4) 


479  (2) 

Cumulative Review Exercises Chapters 17 


481  (2) 

Quadratic Equations and Inequalities 


483  (82) 


484  (8) 


492  (11) 

Equations Quadratic in Form 


503  (9) 

Formulas and Applications 


512  (10) 

Graphs of Quadratic Functions 


522  (10) 

More about Parabolas; Applications 


532  (12) 


544  (21) 


551  (1) 


552  (4) 


556  (5) 


561  (1) 

Cumulative Review Exercises Chapters 18 


562  (3) 

Inverse, Exponential, and Logarithmic Functions 


565  (68) 


566  (10) 


576  (10) 


586  (8) 


594  (8) 


602  (10) 

Exponential and Logarithmic Equations; Applications 


612  (21) 


620  (1) 


621  (4) 


625  (4) 


629  (2) 

Cumulative Review Exercises Chapters 19 


631  (2) 


633  (47) 

The Circle and the Ellipse 


634  (8) 

The Hyperbola and Square Root Functions 


642  (11) 

Nonlinear Systems of Equations 


653  (9) 

SecondDegree Inequalities; Systems of Inequalities 


662  (18) 


669  (1) 


670  (4) 


674  (2) 


676  (1) 

Cumulative Review Exercises Chapters 110 


677  (3) 


680  (41) 


681  (8) 


689  (7) 


696  (11) 


707  (14) 


714  (1) 


715  (2) 


717  (3) 


720  (1) 

Cumulative Review Exercises Chapters 111 


721  
Answers to Selected Exercises 

A1  
Index 

I1  
Index of Applications 

I9  