Preface 

ix  
To the Student 

xxiii  

Algebra and Problem Solving 


1  (128) 

The Real Numbers and the Number Line 


2  (15) 

Operations with the Real Numbers and Algebraic Expressions 


17  (12) 


29  (15) 

Properties of Integral Exponents 


44  (13) 


57  (8) 


65  (12) 


77  (12) 

Strategies for Soving Problems 


89  (40) 


113  (2) 


115  (2) 


117  (8) 


125  (4) 

Functions, Linear Functions, and Inequalities 


129  (94) 

Introduction to Functions 


130  (15) 

Linear Functions and Slope 


145  (19) 

The PointSlope Equation of a Line 


164  (11) 

Solving Linear Inequalities 


175  (9) 


184  (11) 

Equations and Inequalities Involving Absolute Value 


195  (8) 

Linear Inequalities Containing Two Variables 


203  (20) 


210  (2) 


212  (2) 


214  (5) 


219  (4) 

Systems of Linear Equations and Inequalities 


223  (92) 

Linear Systems of Equations in Two Variables 


224  (16) 

Problem Solving and Modeling Using Systems of Equations 


240  (15) 

Linear Systems of Equations in Three Variables 


255  (14) 

Matrix Solutions to Linear Systems 


269  (12) 

Solving Linear Systems of Equations Using Determinants and Cramer's Rule 


281  (10) 

Systems of Linear Inequalities and Linear Programming 


291  (24) 


303  (2) 


305  (2) 


307  (3) 


310  (2) 

Cumulative Review Problems (Chapters 13) 


312  (3) 

Polynomials, Polynomial Functions, and Factoring 


315  (96) 

Introduction to Polynomials and Polynomial Functions 


316  (15) 

Multiplication of Polynomials 


331  (15) 

Greatest Common Factors and Factoing by Grouping 


346  (7) 


353  (14) 


367  (9) 

A General Factoring Strategy 


376  (7) 

Polynomial Equations, Modeling, and Problem Solving 


383  (28) 


401  (2) 


403  (1) 


404  (3) 


407  (1) 

Cumulative Review Problems (Chapters 14) 


408  (3) 

Rational Expressions, Functions, and Equations 


411  (90) 

Rational Expressions and Functions: Multiplying and Dividing 


412  (21) 

Adding and Subtracting Rational Expressions 


433  (14) 


447  (12) 

Rational Equations, Modeling, and Problem Solving 


459  (19) 


478  (23) 


491  (1) 


492  (2) 


494  (3) 


497  (1) 

Cumulative Review Problems (Chapters 15) 


498  (3) 

Radicals, Radical Functions, and Rational Exponents 


501  (90) 

Radicals and Radical Functions 


502  (14) 

Inverse Properties of nth Powers and nth Roots; Rational Exponents 


516  (12) 

Multiplying and Simplifying Radical Expressions 


528  (7) 

Dividing and Simplifying Radical Expressions 


535  (10) 

Further Operations with Radicals 


545  (11) 


556  (10) 

Imaginary and Complex Numbers 


566  (25) 


581  (1) 


582  (2) 


584  (3) 


587  (1) 

Cumulative Review Problems (Chapters 16) 


588  (3) 

Quadratic Equations and Functions 


591  (82) 

Solving Quadratic Equations by the Square Root Method 


592  (16) 

Completing the Square and Graphs of Quadatic Functions 


608  (12) 


620  (17) 

Problem Solving and Equations That Are Quadratic in Form 


637  (13) 

Solving Quadratic and Rational Inequalities 


650  (23) 


662  (1) 


663  (2) 


665  (3) 


668  (2) 

Cumulative Review Problems (Chapters 17) 


670  (3) 

Exponential and Logarithmic Functions 


673  (88) 


674  (14) 

Composite and Inverse Functions 


688  (12) 


700  (13) 

Properties of Logarithmic Functions 


713  (11) 

Solving Exponential and Logarithmic Equations 


724  (14) 

Modeling with Exponential and Logarithmic Functions 


738  (23) 


749  (2) 


751  (1) 


752  (5) 


757  (1) 

Cumulative Review Problems (Chapters 18) 


758  (3) 

Conic Sections and Nonlinear Systems of Equations 


761  (50) 

Conic Sections: Circles and Parabolas 


762  (10) 

Conic Sections: Ellipses and Hyperbolas 


772  (17) 

Nonlinear Systems of Equations 


789  (22) 


804  (2) 


806  (1) 


807  (2) 


809  (1) 

Cumulative Review Prolems (Chapters 19) 


809  (2) 

Sequences, Series, and the Binomial Theorem 


811  


812  (14) 

Arithmetic Sequences and Series 


826  (11) 

Geometric Sequences and Series 


837  (17) 


854  


862  (2) 


864  (1) 


865  (4) 


869  

Review Problems Covering the Entire Book 


A1  (1) 
Answers to Selected Exercises 

AA1  (1) 
Index 

I1  (1) 
Index of Applications Inside front cover 

Definitions, Rules, and Formulas Inside back cover 
