Preface 

xi  
To the Student 

xx  
About the Author 

xxii  


1  (101) 


2  (15) 


17  (11) 


28  (9) 


37  (14) 


49  (2) 


51  (8) 

Subtraction of Real Numbers 


59  (7) 

Multiplication and Division of Real Numbers 


66  (12) 

Exponents, Order of Operations, and Mathematical Models 


78  (24) 


92  (1) 


92  (5) 


97  (3) 


100  (2) 

Linear Equations and Inequalities in One Variable 


102  (82) 

The Addition Property of Equality 


103  (8) 

The Multiplication Property of Equality 


111  (7) 


118  (8) 


126  (12) 


137  (1) 

An Introduction to Problem Solving 


138  (11) 

Problem Solving in Geometry 


149  (12) 

Solving Linear Inequalities 


161  (23) 


173  (1) 


174  (5) 


179  (2) 


181  (2) 

Cumulative Review Exercises (Chapters 12) 


183  (1) 

Linear Equations in Two Variables 


184  (61) 

Graphing Equations in Two Variables 


185  (12) 

Graphing Linear Equations Using Intercepts 


197  (11) 


208  (8) 

The SlopeIntercept Form of the Equation of a Line 


216  (10) 


225  (1) 

The PointSlope Form of the Equation of a Line 


226  (19) 


236  (1) 


236  (4) 


240  (2) 


242  (2) 

Cumulative Review Exercises (Chapters 13) 


244  (1) 

Systems of Linear Equations 


245  (60) 

Solving Systems of Linear Equations by Graphing 


246  (9) 

Solving Systems of Linear Equations by the Substitution Method 


255  (8) 

Solving Systems of Linear Equations by the Addition Method 


263  (8) 


271  (1) 

Problem Solving Using Systems of Equations 


271  (15) 

Systems of Linear Equations in Three Variables 


286  (19) 


297  (1) 


298  (3) 


301  (2) 


303  (1) 

Cumulative Review Exercises (Chapters 14) 


304  (1) 

Exponents and Polynomials 


305  (77) 

Adding and Subtracting Polynomials 


306  (9) 


315  (10) 


325  (9) 

Polynomials in Several Variables 


334  (8) 


341  (1) 


342  (8) 

Long Division of Polynomials; Synthetic Division 


350  (12) 

Negative Exponents and Scientific Notation 


362  (20) 


375  (1) 


375  (3) 


378  (2) 


380  (1) 

Cumulative Review Exercises (Chapters 15) 


381  (1) 


382  (59) 

The Greatest Common Factor and Factoring by Grouping 


383  (8) 

Factoring Trinomials Whose Leading Coefficient Is One 


391  (8) 

Factoring Trinomials Whose Leading Coefficient Is Not One 


399  (8) 


407  (1) 


407  (7) 

A General Factoring Strategy 


414  (9) 

Solving Quadratic Equations by Factoring 


423  (18) 


435  (1) 


435  (2) 


437  (2) 


439  (1) 

Cumulative Review Exercises (Chapters 16) 


440  (1) 


441  (89) 

Rational Expressions and Their Simplification 


442  (10) 

Multiplying and Dividing Rational Expressions 


452  (6) 

Adding and Subtracting Rational Expressions with the Same Denominator 


458  (8) 

Adding and Subtracting Rational Expressions with Different Denominators 


466  (12) 


477  (1) 

Complex Rational Expressions 


478  (7) 

Solving Rational Equations 


485  (10) 

Applications Using Rational Equations and Proportions 


495  (12) 


507  (23) 


517  (1) 


518  (5) 


523  (3) 


526  (1) 

Cumulative Review Exercises (Chapters 17) 


527  (1) 


528  (2) 


530  (48) 

Introduction to Functions 


531  (15) 


546  (11) 


556  (1) 

Composite and Inverse Functions 


557  (21) 


571  (1) 


571  (2) 


573  (3) 


576  (1) 

Cumulative Review Exercises (Chapters 18) 


576  (2) 

Inequalities and Problem Solving 


578  (59) 

Interval Notation and Business Applications Using Linear Inequalities 


579  (13) 


592  (9) 

Equations and Inequalities Involving Absolute Value 


601  (9) 


609  (1) 

Linear Inequalities in Two Variables 


610  (11) 


621  (16) 


629  (1) 


629  (4) 


633  (2) 


635  (1) 

Cumulative Review Exercises (Chapters 19) 


636  (1) 

Radicals, Radical Functions, and Rational Exponents 


637  (80) 

Radical Expressions and Functions 


638  (12) 


650  (12) 

Multiplying and Simplifying Radical Expressions 


662  (8) 

Adding, Subtracting, and Dividing Radical Expressions 


670  (8) 


677  (1) 

Multiplying with More Than One Term and Rationalizing Denominators 


678  (12) 


690  (10) 


700  (17) 


709  (1) 


709  (4) 


713  (2) 


715  (1) 

Cumulative Review Exercises (Chapters 110) 


716  (1) 

Quadratic Equations and Functions 


717  (81) 

The Square Root Property and Completing the Square; Distance and Midpoint Formulas 


718  (17) 


735  (15) 

Quadratic Functions and Their Graphs 


750  (18) 


767  (1) 

Equations Quadratic in Form 


768  (7) 

Polynomial and Rational Inequalities 


775  (23) 


788  (1) 


789  (4) 


793  (3) 


796  (1) 

Cumulative Review Exercises (Chapters 111) 


797  (1) 

Exponential and Logarithmic Functions 


798  (74) 


799  (13) 


812  (13) 


825  (11) 


835  (1) 

Exponential and Logarithmic Equations 


836  (12) 

Exponential Growth and Decay; Modeling Data 


848  (24) 


862  (1) 


862  (3) 


865  (4) 


869  (1) 

Cumulative Review Exercises (Chapters 112) 


870  (2) 

Conic Sections and Systems of Nonlinear Equations 


872  (61) 


873  (7) 


880  (12) 


892  (10) 


901  (1) 

The Parabola; Identifying Conic Sections 


902  (12) 

Systems of Nonlinear Equations in Two Variables 


914  (19) 


925  (1) 


926  (3) 


929  (2) 


931  (1) 

Cumulative Review Exercises (Chapters 113) 


931  (2) 

Sequences, Series, and Probability 


933  (81) 

Sequences and Summation Notation 


934  (10) 


944  (10) 

Geometric Sequences and Series 


954  (16) 


969  (1) 


970  (8) 

Counting Principles, Permutations, and Combinations 


978  (12) 


990  (24) 


1004  (1) 


1005  (4) 


1009  (2) 


1011  (2) 

Cumulative Review Exercises (Chapters 114) 


1013  (1) 
Appendix A Matrix Solutions to Linear Systems 

1014  (10) 
Appendix B Determinants and Cramer's Rule 

1024  (10) 
Appendix C Where Did That Come From? Selected Proofs 

1034  
Answers to Selected Exercises 

1  (1) 
Applications Index 

1  (1) 
Subject Index 

1  (1) 
Photo Credits 

1  