Intermediate Algebra / Edition 3

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Overview

While using Intermediate Algebra, Second Edition, you will find that the text focuses on building competence and confidence. The authors present the concepts, show how to do the math, and explain the reasoning behind it in a language you can understand. The text ties concepts together using the Algebra Pyramid, which will help you see the big picture of algebra. The skills Carson presents through both the Learning Strategy boxes and the Study System, introduced in the Preface and incorporated throughout the text, will not only enhance your algebra experience but will also help you succeed in future college courses.
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Product Details

  • ISBN-13: 9780321607119
  • Publisher: Pearson
  • Publication date: 11/27/2009
  • Series: The Carson Algebra Series
  • Edition description: Older Edition
  • Edition number: 3
  • Pages: 792
  • Sales rank: 423,034
  • Product dimensions: 8.70 (w) x 11.00 (h) x 1.20 (d)

Meet the Author

Tom Carson’s first teaching experience was teaching guitar while an undergraduate student studying electrical engineering. That experience helped him to realize that his true gift and passion are for teaching. He earned his MAT. in mathematics at the University of South Carolina. In addition to teaching at Midlands Technical College, Columbia State Community College, and Franklin Classical School, Tom has served on the faculty council and has been a board member of the South Carolina Association of Developmental Educators (SCADE). Ever the teacher, Tom teaches outside the classroom by presenting at conferences such as NADE, AMATYC, and ICTCM on topics such as Combating Innumeracy, Writing in Mathematics, and Implementing a Study System.

Bill Jordan received his BS from Rollins College and his MAT from Tulane University. A decorated teacher for more than 40 years, Jordan has served as the chair of the math department at Seminole Community College and has taught at Rollins College. He has been a member and leader of numerous professional organizations, including the Florida Two-Year College Mathematical Association (president), Florida Council of Teachers of Mathematics (district director), and others. In addition to his work on the Carson series, Jordan is also the lead author of _Integrated Algebra and Arithmetic, 2/e, also published by Pearson. In his spare time, he enjoys fishing, traveling, and hiking.

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Table of Contents

Preface vi
To the Student xvii
Learning Styles Inventory xxiii
Chapter 1 Real Numbers and Expressions 1
1.1 Sets and the Structure of Algebra 2
1.2 Operations with Real Numbers; Properties of Real Numbers 12
1.3 Exponents, Roots, and Order of Operations 24
1.4 Evaluating and Rewriting Expressions 35
Summary 46
Review Exercises 50
Practice Test 54
Chapter 2 Linear Equations and Inequalities in One Variable 55
2.1 Linear Equations and Formulas 56
2.2 Solving Problems 66
2.3 Solving Linear Inequalities 82
2.4 Compound Inequalities 94
2.5 Equations Involving Absolute Value 108
2.6 Inequalities Involving Absolute Value 113
Summary 121
Review Exercises 127
Practice Test 132
Chapter 3 Equations and Inequalities in Two Variables and Functions 135
3.1 Graphing Linear Equations 136
3.2 The Slope of a Line 150
3.3 The Equation of a Line 165
3.4 Graphing Linear Inequalities 179
3.5 Introduction to Functions and Function Notation 188
Summary 206
Review Exercises 212
Practice Test 217
Chapters 1-3 Cumulative Review Exercises 219
Chapter 4 Systems of Linear Equations and Inequalities 223
4.1 Solving Systems of Linear Equations in Two Variables 224
4.2 Solving Systems of Linear Equations in Three Variables 244
4.3 Solving Applications Using Systems of Equations 252
4.4 Solving Systems of Linear Equations Using Matrices 267
4.5 Solving Systems of Linear Equations Using Cramer's Rule 278
4.6 Solving Systems of Linear Inequalities 288
Summary 297
Review Exercises 303
Practice Test 307
Chapter 5 Polynomials 309
5.1 Exponents and Scientific Notation 310
5.2 Polynomials and Polynomial Functions 325
5.3 Multiplying Polynomials 341
5.4 Dividing Polynomials 353
5.5 Synthetic Division and the Remainder Theorem 363
Summary 370
Review Exercises 375
Practice Test 380
Chapter 6 Factoring 383
6.1 Greatest Common Factor and Factoring by Grouping 384
6.2 Factoring Trinomials 394
6.3 Factoring Special Products and Factoring Strategies 406
6.4 Solving Equations by Factoring 417
Summary 433
Review Exercises 438
Practice Test 442
Chapters 1-6 Cumulative Review Exercises 443
Chapter 7 Rational Expressions and Equations 447
7.1 Simplifying, Multiplying, and Dividing Rational Expressions 448
7.2 Adding and Subtracting Rational Expressions 465
7.3 Simplifying Complex Rational Expressions 478
7.4 Solving Equations Containing Rational Expressions 489
7.5 Applications with Rational Expressions; Variation 500
Summary 518
Review Exercises 525
Practice Test 530
Chapter 8 Rational Exponents, Radicals, and Complex Numbers 533
8.1 Radical Expressions and Functions 534
8.2 Rational Exponents 546
8.3 Multiplying, Dividing, and Simplifying Radicals 558
8.4 Adding, Subtracting, and Multiplying Radical Expressions 567
8.5 Rationalizing Numerators and Denominators of Radical Expressions 576
8.6 Radical Equations and Problem Solving 588
8.7 Complex Numbers 599
Summary 607
Review Exercises 613
Practice Test 619
Chapter 9 Quadratic Equations 621
9.1 Completing the Square 622
9.2 Solving Quadratic Equations Using the Quadratic Formula 635
9.3 Solving Equations That Are Quadratic in Form 647
9.4 Graphing Quadratic Functions 658
9.5 Solving Nonlinear Inequalities 673
Summary 687
Review Exercises 692
Practice Test 696
Chapters 1-9 Cumulative Review Exercises 698
Chapter 10 Exponential and Logarithmic Functions 703
10.1 Composite and Inverse Functions 704
10.2 Exponential Functions 718
10.3 Logarithmic Functions 730
10.4 Properties of Logarithms 740
10.5 Common and Natural Logarithms 749
10.6 Exponential and Logarithmic Equations with Applications 756
Summary 770
Review Exercises 779
Practice Test 785
Chapter 11 Conic Sections 787
11.1 The Parabola and Circle 788
11.2 Ellipses and Hyperbolas 802
11.3 Nonlinear Systems of Equations 816
11.4 Nonlinear Inequalities and Systems of Inequalities 823
Summary 831
Review Exercises 838
Practice Test 843
Chapters 1-11 Cumulative Review Exercises 845
Appendix A Arithmetic Sequences and Series 1
Appendix B Geometric Sequences and Series 11
Appendix C The Binomial Theorem 21
Appendix D Permutations and Combinations 27
Appendix E Probability 33
Answers (Student edition only) 1
Glossary 1
Index 1
Applications Index 10
Photograph Credits 14
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