Preface 

vii  
To the Student 

xvii  
Learning Styles Inventory 

xxiii  


1  (100) 

Number Sets and the Structure of Algebra 


2  (9) 


11  (13) 

Adding and Subtracting Real Numbers; Properties of Real Numbers 


24  (17) 

Multiplying and Dividing Real Numbers; Properties of Real Numbers 


41  (15) 

Exponents, Roots, and Order of Operations 


56  (14) 

Translating Word Phrases to Expressions 


70  (8) 

Evaluating and Rewriting Expressions 


78  (23) 


89  (6) 


95  (4) 


99  (2) 

Solving Linear Equations and Inequalities 


101  (88) 

Equations, Formulas, and the ProblemSolving Process 


102  (16) 


118  (14) 

The Multiplication Principle 


132  (15) 

Applying the Principles to Formulas 


147  (6) 

Translating Word Sentences to Equations 


153  (11) 

Solving Linear Inequalities 


164  (25) 


177  (5) 


182  (4) 


186  (3) 


189  (78) 


190  (15) 


205  (16) 

Problems with Two or More Unknowns 


221  (15) 


236  (8) 


244  (23) 


252  (5) 


257  (5) 


262  (2) 

Cumulative Review Exercises 


264  (3) 

Graphing Linear Equations and Inequalities 


267  (106) 

The Rectangular Coordinate System 


268  (9) 

Graphing Linear Equations 


277  (12) 

Graphing Using Intercepts 


289  (10) 


299  (14) 


313  (14) 

Graphing Linear Inequalities 


327  (10) 

Introduction to Functions and Function Notation 


337  (36) 


355  (8) 


363  (7) 


370  (3) 


373  (86) 

Exponents and Scientific Notation 


374  (13) 

Introduction to Polynomials 


387  (13) 

Adding and Subtracting Polynomials 


400  (11) 

Exponent Rules and Multiplying Monomials 


411  (12) 

Multiplying Polynomials; Special Products 


423  (12) 

Exponent Rules and Dividing Polynomials 


435  (24) 


451  (3) 


454  (4) 


458  (1) 


459  (78) 

Greatest Common Factor and Factoring by Grouping 


460  (11) 

Factoring Trinomials of the Form x2 + bx + c 


471  (7) 

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


478  (9) 

Factoring Special Products 


487  (9) 


496  (6) 

Solving Quadratic Equations by Factoring 


502  (13) 

Graphs of Quadratic Equations and Functions 


515  (22) 


525  (5) 


530  (3) 


533  (1) 

Cumulative Review Exercises 


534  (3) 

Rational Expressions and Equations 


537  (92) 

Simplifying Rational Expressions 


538  (14) 

Multiplying and Dividing Rational Expressions 


552  (11) 

Adding and Subtracting Rational Expressions with the Same Denominator 


563  (7) 

Adding and Subtracting Rational Expressions with Different Denominators 


570  (12) 

Complex Rational Expressions 


582  (9) 

Solving Equations Containing Rational Expressions 


591  (10) 

Applications with Rational Expressions 


601  (28) 


615  (7) 


622  (4) 


626  (3) 

More on Inequalities, Absolute Value, and Functions 


629  (58) 


630  (14) 

Equations Involving Absolute Value 


644  (5) 

Inequalities Involving Absolute Value 


649  (8) 


657  (12) 


669  (18) 


676  (4) 


680  (5) 


685  (2) 


687  (96) 

Solving Systems of Linear Equations Graphically 


688  (11) 

Solving Systems of Linear Equations by Substitution 


699  (11) 

Solving Systems of Linear Equations by Elimination 


710  (12) 

Solving Systems of Linear Equations in Three Variables 


722  (14) 

Solving Systems of Linear Equations Using Matrices 


736  (11) 

Solving Systems of Linear Equations Using Cramer's Rule 


747  (10) 

Solving Systems of Linear Inequalities 


757  (26) 


767  (6) 


773  (4) 


777  (2) 

Cumulative Review Exercises 


779  (4) 

Rational Exponents, Radicals, and Complex Numbers 


783  (88) 

Radical Expressions and Functions 


784  (12) 


796  (12) 

Multiplying, Dividing, and Simplifying Radicals 


808  (9) 

Adding, Subtracting, and Multiplying Radical Expressions 


817  (9) 

Rationalizing Numerators and Denominators of Radical Expressions 


826  (12) 

Radical Equations and Problem Solving 


838  (11) 


849  (22) 


857  (6) 


863  (6) 


869  (2) 


871  (76) 


872  (13) 

Solving Quadratic Equations Using the Quadratic Formula 


885  (12) 

Solving Equations That Are Quadratic in Form 


897  (11) 

Graphing Quadratic Functions 


908  (15) 

Solving Nonlinear Inequalities 


923  (24) 


936  (5) 


941  (4) 


945  (2) 

Exponential and Logarithmic Functions 


947  (84) 

Composite and Inverse Functions 


948  (14) 


962  (12) 


974  (10) 


984  (9) 

Common and Natural Logarithms 


993  (7) 

Exponential and Logarithmic Equations with Applications 


1000  (31) 


1014  (9) 


1023  (6) 


1029  (2) 


1031  


1032  (14) 


1046  (14) 

Nonlinear Systems of Equations 


1060  (7) 

Nonlinear Inequalities and Systems of Inequalities 


1067  


1075  (7) 


1082  (5) 


1087  (2) 

Cumulative Review Exercises 


1089  

Elementary Algebra Review 




1  (2) 

Review of Solving Linear Equations 


3  (5) 

Review of Graphing Linear Equations 


8  (7) 


15  (5) 


20  
Appendix A Arithmetic Sequences and Series 

1  (10) 
Appendix B Geometric Sequences and Series 

11  (10) 
Appendix C The Binomial Theorem 

21  (6) 
Appendix D Permutations and Combinations 

27  (6) 
Appendix E Probability 

33  
Answers (Student edition only) 

1  (1) 
Glossary 

1  (1) 
Index 

1  (1) 
Applications Index 

1  (1) 
Photograph Credits 

1  