Preface 

xi  
To The Student 

xix  
About the Author 

xxi  

Algebra, Mathematical Models, and Problem Solving 


1  (94) 

Algebraic Expressions and Real Numbers 


2  (11) 

Operations with Real Numbers and Simplifying Algebraic Expressions 


13  (15) 


28  (11) 


39  (12) 


51  (1) 

Problem Solving and Using Formulas 


51  (15) 

Properties of Integral Exponents 


66  (12) 


78  (17) 


85  (1) 


86  (5) 


91  (3) 


94  (1) 

Functions and Linear Functions 


95  (67) 

Introduction to Functions 


96  (16) 


112  (11) 


122  (1) 

Linear Functions and Slope 


123  (18) 

The PointSlope Form of the Equation of a Line 


141  (21) 


152  (1) 


153  (3) 


156  (3) 


159  (1) 

Cumulative Review Exercises (Chapters 12) 


160  (2) 

Systems of Linear Equations 


162  (76) 

Systems of Linear Equations in Two Variables 


163  (15) 

Problem Solving and Business Applications Using Systems of Equations 


178  (15) 

Systems of Linear Equations in Three Variables 


193  (12) 


204  (1) 

Matrix Solutions to Linear Systems 


205  (12) 

Determinants and Cramer's Rule 


217  (21) 


227  (1) 


228  (5) 


233  (2) 


235  (1) 

Cumulative Review Exercises (Chapters 13) 


236  (2) 

Inequalities and Problem Solving 


238  (59) 

Solving Linear Inequalities 


239  (14) 


253  (9) 

Equations and Inequalities Involving Absolute Value 


262  (9) 


270  (1) 

Linear Inequalities in Two Variables 


271  (11) 


282  (15) 


290  (1) 


290  (3) 


293  (2) 


295  (1) 

Cumulative Review Exercises (Chapters 14) 


296  (1) 

Polynomials, Polynomial Functions, and Factoring 


297  (87) 

Introduction to Polynomials and Polynomial Functions 


298  (13) 

Multiplication of Polynomials 


311  (13) 

Greatest Common Factors and Factoring by Grouping 


324  (9) 


333  (14) 


346  (1) 


347  (9) 

A General Factoring Strategy 


356  (6) 

Polynomial Equations and Their Applications 


362  (22) 


375  (1) 


376  (4) 


380  (2) 


382  (1) 

Cumulative Review Exercises (Chapters 15) 


383  (1) 

Rational Expressions, Functions, and Equations 


384  (95) 

Rational Expressions and Functions: Multiplying and Dividing 


385  (14) 

Adding and Subtracting Rational Expressions 


399  (12) 

Complex Rational Expressions 


411  (8) 


419  (9) 


427  (1) 

Synthetic Division and the Remainder Theorem 


428  (8) 


436  (9) 

Formulas and Applications of Rational Equations 


445  (13) 


458  (21) 


469  (1) 


470  (4) 


474  (3) 


477  (1) 

Cumulative Review Exercises (Chapters 16) 


478  (1) 

Radicals, Radical Functions, and Rational Exponents 


479  (80) 

Radical Expressions and Functions 


480  (12) 


492  (12) 

Multiplying and Simplifying Radical Expressions 


504  (8) 

Adding, Subtracting, and Dividing Radical Expressions 


512  (8) 


519  (1) 

Multiplying with More Than One Term and Rationalizing Denominators 


520  (12) 


532  (10) 


542  (17) 


551  (1) 


551  (4) 


555  (2) 


557  (1) 

Cumulative Review Exercises (Chapters 17) 


558  (1) 

Quadratic Equations and Functions 


559  (77) 

The Square Root Property and Completing the Square 


560  (14) 


574  (15) 

Quadratic Functions and Their Graphs 


589  (18) 


606  (1) 

Equations Quadratic in Form 


607  (7) 

Polynomial and Rational Inequalities 


614  (22) 


627  (1) 


628  (4) 


632  (2) 


634  (1) 

Cumulative Review Exercises (Chapters 18) 


635  (1) 

Exponential and Logarithmic Functions 


636  (92) 


637  (13) 

Composite and Inverse Functions 


650  (15) 


665  (13) 


678  (12) 


688  (2) 

Exponential and Logarithmic Equations 


690  (12) 

Exponential Growth and Decay; Modeling Data 


702  (26) 


716  (1) 


716  (4) 


720  (5) 


725  (1) 

Cumulative Review Exercises (Chapters 19) 


726  (2) 

Conic Sections and Systems of Nonlinear Equations 


728  (63) 

Distance and Midpoint Formulas; Circles 


729  (10) 


739  (12) 


751  (10) 


760  (1) 

The Parabola; Identifying Conic Sections 


761  (12) 

Systems of Nonlinear Equations in Two Variables 


773  (18) 


784  (1) 


785  (2) 


787  (2) 


789  (1) 

Cumulative Review Exercises (Chapters 110) 


790  (1) 

More on Polynomial and Rational Functions 


791  (49) 

Polynomial Functions and their Graphs 


792  (13) 

Zeros of Polynomial Functions 


805  (13) 


818  (1) 

Rational Functions and their Graphs 


818  (22) 


833  (1) 


834  (2) 


836  (2) 


838  (1) 

Cumulative Review Exercises (Chapters 111) 


839  (1) 

Sequences, Induction, and Probability 


840  (89) 

Sequences and Summation Notation 


841  (10) 


851  (10) 

Geometric Sequences and Series 


861  (16) 


876  (1) 


877  (8) 


885  (8) 

Counting Principles, Permutations, and Combinations 


893  (12) 


905  (24) 


919  (1) 


920  (4) 


924  (2) 


926  (2) 

Cumulative Review Exercises (Chapters 112) 


928  (1) 
Appendix Where Did That Come From? Selected Proofs 

929  
Answers to Selected Exercises 

1  (1) 
Applications Index 

1  (1) 
Subject Index 

1  (1) 
Photo Credits 

1  