Preface 

vi  
To the Student 

xiii  
Learning Styles Inventory 

xix  


1  (102) 

Number Sets and the Structure of Algebra 


2  (11) 


13  (14) 

Adding and Subtracting Real Numbers; Properties of Real Numbers 


27  (16) 

Multiplying and Dividing Real Numbers; Properties of Real Numbers 


43  (16) 

Exponents, Roots, and Order of Operations 


59  (14) 

Translating Word Phrases to Expressions 


73  (8) 

Evaluating and Rewriting Expressions 


81  (22) 


91  (6) 


97  (4) 


101  (2) 

Solving Linear Equations and Inequalities 


103  (88) 

Equations, Formulas, and the ProblemSolving Process 


104  (15) 


119  (14) 

The Multiplication Principle 


133  (14) 

Applying the Principles to Formulas 


147  (7) 

Translating Word Sentences to Equations 


154  (12) 

Solving Linear Inequalities 


166  (25) 


180  (5) 


185  (4) 


189  (2) 


191  (76) 


192  (15) 


207  (15) 

Problems with Two or More Unknowns 


222  (14) 


236  (8) 


244  (23) 


252  (5) 


257  (5) 


262  (2) 

Chapters 13 Cumulative Review Exercises 


264  (3) 

Graphing Linear Equations and Inequalities 


267  (110) 

The Rectangular Coordinate System 


268  (10) 

Graphing Linear Equations 


278  (12) 

Graphing Using Intercepts 


290  (10) 


300  (16) 


316  (12) 

Graphing Linear Inequalities 


328  (11) 

Introduction to Functions and Function Notation 


339  (38) 


359  (8) 


367  (7) 


374  (3) 


377  (86) 

Exponents and Scientific Notation 


378  (12) 

Introduction to Polynomials 


390  (12) 

Adding and Subtracting Polynomials 


402  (11) 

Exponent Rules and Multiplying Monomials 


413  (12) 

Multiplying Polynomials; Special Products 


425  (12) 

Exponent Rules and Dividing Polynomials 


437  (26) 


454  (3) 


457  (4) 


461  (2) 


463  (82) 

Greatest Common Factor and Factoring by Grouping 


464  (13) 

Factoring Trinomials of the Form x2 + bx + c 


477  (7) 

Factoring Trinomials of the Form ax2 + bx + c, where a ≠ 1 


484  (9) 

Factoring Special Products 


493  (9) 


502  (6) 

Solving Quadratic Equations by Factoring 


508  (12) 

Graphs of Quadratic Equations and Functions 


520  (25) 


532  (5) 


537  (3) 


540  (1) 

Chapters 16 Cumulative Review Exercises 


541  (4) 

Rational Expressions and Equations 


545  (98) 

Simplifying Rational Expressions 


546  (15) 

Multiplying and Dividing Rational Expressions 


561  (11) 

Adding and Subtracting Rational Expressions with the Same Denominator 


572  (7) 

Adding and Subtracting Rational Expressions with Different Denominators 


579  (12) 

Complex Rational Expressions 


591  (11) 

Solving Equations Containing Rational Expressions 


602  (12) 

Applications with Rational Expressions 


614  (29) 


629  (6) 


635  (5) 


640  (3) 

More on Inequalities, Absolute Value, and Functions 


643  (66) 


644  (15) 

Equations Involving Absolute Value 


659  (5) 

Inequalities Involving Absolute Value 


664  (9) 


673  (16) 


689  (20) 


697  (5) 


702  (5) 


707  (2) 


709  (108) 

Solving Systems of Linear Equations Graphically 


710  (12) 

Solving Systems of Linear Equations by Substitution 


722  (14) 

Solving Systems of Linear Equations by Elimination 


736  (18) 

Solving Systems of Linear Equations in Three Variables 


754  (13) 

Solving Systems of Linear Equations Using Matrices 


767  (11) 


778  (10) 

Solving Systems of Linear Inequalities 


788  (29) 


799  (6) 


805  (5) 


810  (2) 

Chapters 19 Cumulative Review Exercises 


812  (5) 

Rational Exponents, Radicals, and Complex Numbers 


817  (86) 

Radical Expressions and Functions 


818  (12) 


830  (12) 

Multiplying, Dividing, and Simplifying Radicals 


842  (10) 

Adding, Subtracting, and Multiplying Radical Expressions 


852  (9) 

Rationalizing Numerators and Denominators of Radical Expressions 


861  (11) 

Radical Equations and Problem Solving 


872  (10) 


882  (21) 


890  (7) 


897  (5) 


902  (1) 


903  (80) 


904  (15) 

Solving Quadratic Equations Using the Quadratic Formula 


919  (14) 

Solving Equations That Are Quadratic in Form 


933  (10) 

Graphing Quadratic Functions 


943  (15) 

Solving Nonlinear Inequalities 


958  (25) 


971  (5) 


976  (4) 


980  (3) 

Exponential and Logarithmic Functions 


983  (84) 

Composite and Inverse Functions 


984  (15) 


999  (12) 


1011  (10) 


1021  (9) 

Common and Natural Logarithms 


1030  (7) 

Exponential and Logarithmic Equations with Applications 


1037  (30) 


1050  (9) 


1059  (6) 


1065  (2) 


1067  

The Parabola and the Circle 


1068  (16) 


1084  (15) 

Nonlinear Systems of Equations 


1099  (8) 

Nonlinear Inequalities and Systems of Inequalities 


1107  


1116  (8) 


1124  (6) 


1130  (3) 

Chapters 113 Cumulative Review Exercises 


1133  
Appendices AE 

1  (1) 
Answers 

1  (1) 
Glossary 

1  (1) 
Index 

1  (1) 
Photograph Credits 

1  