Beginning and intermediate algebra with graphing calculators / 3rd ed.

Table Of Contents:
PREFACE ix

1 Basic Arithmetic and Graphing Calculator Concepts 1(62)

1.1 Review of Fractions 2(18)

Technology 1.1: Introduction to the Graphing Calculator 14(6)

1.2 Exponents and Order of Operations 20(9)

Technology 1.2: Using the STOre Key 27(2)

1.3 Adding and Subtracting Real Numbers 29(9)

1.4 Multiplying and Dividing Real Numbers 38(7)

1.5 Basic Applications 45(11)

Chapter Summary 56(3)

Chapter Test 59(2)

Careers & Mathematics 61(2)

2 Exponents and Polynomials 63(44)

2.1 Whole-Number Exponents 64(7)

2.2 Algebraic Expressions and Polynomials 71(7)

2.3 Adding and Substracting Polynomials 78(5)

2.4 Multiplying Polynomials 83(7)

2.5 Dividing Polynomials by Monomials 90(3)

2.6 Dividing Polynomials by Polynomials 93(7)

Chapter Summary 100(2)

Chapter Test 102(1)

Cumulative Review: Chapter 1 and 2 102(3)

Careers & Mathematics 105(2)

3 Modeling Linear Equations in One and Two Variables 107(78)

3.1 Introduction to Linear Equations in One Variable 108

3.2 Literal Equations and Formulas 18

3.3 Introduction to Equations in Two Variables 123(10)

3.4 The Rectangular Coordinate Systems 133(24)

Technology 3.4: Graphing Basics 151(6)

3.5 Linear Applications and Models 157(8)

Technology 3.5: INTERSECT Method for Solving 165(1)

3.6 Algebraic and Graphical Solutions to One-Variable Linear Equations 165(13)

Chapter Summary 178(3)

Chapter Test 181(2)

Careers & Mathematics 183(2)

4 An Extended Look at Applications and Absolute Value Equations 185(34)

4.1 Applications--A Numeric Approach 186(9)

4.2 Business Applications 195(5)

4.3 More Applications of Equations 200(5)

4.4 Equations Containing Absolute Value 205(6)

Chapter Summary 211(2)

Chapter Test 213(1)

Cumulative Review: Chapters 3 and 4 214(3)

Careers & Mathematics 217(2)

5 Factoring 219(44)

5.1 Using the Distributive Property to Factor 220(8)

5.2 Factoring Trinomials 228(8)

5.3 Factoring the Difference of Two Squares and a Summary of Factoring Techniques 236(8)

5.4 Using Factoring to Solve Equations 244(13)

Chapter Summary 257(3)

Chapter Test 260(1)

Careers & Mathematics 261(2)

6 Rational Expressions and Equations 263(53)

6.1 Simplifying Rational Expressions 264(8)

6.2 Adding and Subtracting Rational Expressions 272(7)

6.3 Multiplying and Dividing Rational Expressions 279(4)

6.4 Mixed Operations and Complex Fractions 283(6)

6.5 Algebraic and Graphical Solutions of Rational Equations 289(11)

6.6 Applications of Rational Equations 300(6)

Chapter Summary 306(4)

Chapter Test 310(1)

Cumulative Review: Chapters 5 and 6 311(3)

Careers & Mathematics 314(2)

7 Making the Transition from Elementary to Intermediate Algebra 316(78)

7.1 Negative Integral Exponents 317(9)

7.2 Review of Factoring 326(5)

7.3 Equation Review 331(11)

7.4 Graphing and Its Applications Revisited 342(15)

Technology 7.4: ROOT/ZERO Method for Solving 356(1)

7.5 Solving Simple Linear Inequalities 357(11)

7.6 Compound Inequalities 368(10)

7.7 Absolute Value Inequalities 378(7)

Chapter Summary 385(5)

Chapter Test 390(2)

Careers & Mathematics 392(2)

8 Functions 394(56)

8.1 Relations and Functions 395(11)

8.2 Functions and Graphs 406(5)

8.3 Slope of a Nonvertical Line 411(10)

8.4 Equations of Lines 421(9)

8.5 Variation 430(9)

Chapter Summary 439(5)

Chapter Test 444(1)

Cumulative Review: Chapters 7 and 8 444(4)

Careers & Mathematics 448(2)

9 Rational Exponents and Radicals 450(53)

9.1 Introduction to Roots and Radicals 451(6)

9.2 Rational Exponents and Simplifying Radical Expressions 457(8)

9.3 Arithmetic Operations with Radicals 465(7)

9.4 Radical Equations and Their Applications 472(9)

9.5 Radical Functions 481(7)

9.6 (XXX)-1 and Complex Numbers 488(9)

Chapter Summary 497(3)

Chapter Test 500(1)

Careers & Mathematics 501(2)

10 Quadratics 503(58)

10.1 Square Root Property and Completing the Square 504(9)

10.2 The Quadratic Formula and the Discriminant 513(9)

10.3 Applications of Quadratic Functions and Solutions of Equations Using Quadratic Methods 522(9)

10.4 Graphs of Quadratic Functions 531(9)

10.5 Quadratic and Other Inequalities 540(11)

Chapter Summary 551(3)

Chapter Test 554(1)

Cumulative Review: Chapter 9 and 10 555(4)

Careers & Mathematics 559(2)

11 Functions and Their Inverses 561(60)

11.1 Algebra of Functions 562(7)

11.2 Inverse Functions 569(9)

11.3 Exponential Functions 578(11)

11.4 Logarithmic Functions 589(9)

11.5 Properties of Logarithms 598(8)

11.6 Exponential and Logarithmic Equations 606(7)

Chapter Summary 613(4)

Chapter Test 617(2)

Careers & Mathematics 619(2)

12 Systems of Equations and Inequalities 621

12.1 Solving Systems of Two Equations in Two Variables 622(8)

12.2 Applications of Systems of Two Equations in Two Variables 630(9)

12.3 Solving Systems of Three Equations in Three Variables 639(6)

12.4 Using Matrices to Solve Systems of Equations 645(9)

12.5 Using Determinants to Solve Systems of Equations 654(7)

12.6 Systems of Inequalities 661(6)

Chapter Summary 667(2)

Chapter Test 669(1)

Cumulative Review: Chapter 11 and 12 670(3)

Careers & Mathematics 673
APPENDIX A CONIC SECTIONS A-1(13)
APPENDIX B BINOMIAL THEOREM A-14(5)
APPENDIX C ARITHMETIC AND GEOMETRIC SEQUENCES A-19(9)
APPENDIX D PERMUTATIONS AND COMBINATIONS A-28(8)
APPENDIX E ANSWERS TO SELECTED EXERCISES A-36
GLOSSARY/INDEX I-1(5)
APPLICATIONS INDEX I-6