Student Workbook Binder for Tussy/Gustafson/Koenig's Intermediate Algebra, 4th / Edition 4

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Overview

The Student Workbook contains all of the Assessments, Activities, and Worksheets from the Instructor's Resource Binder for classroom discussions, in-class activities, and group work.

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Editorial Reviews

Booknews
This text provides a blend of traditional and reform instructional approaches needed to read, write, speak, and think mathematically using the language of algebra. Tussy (Citrus College) and Gustafson (Rock Valley College) provide 11 chapters that expand the students' mathematical reasoning abilities and give them a set of survival skills that will help them to succeed in a world that increasingly requires analytic thinking. They include worked examples followed by self-checks, problem-solving strategies, applications and connections to other disciplines, in-depth coverage of geometry and graphing, study sets and reviews, and one-page summaries of key concepts. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780538734035
  • Publisher: Cengage Learning
  • Publication date: 1/6/2010
  • Edition description: Student
  • Edition number: 4
  • Pages: 512
  • Product dimensions: 8.50 (w) x 10.80 (h) x 1.10 (d)

Meet the Author

: Alan Tussy teaches all levels of developmental mathematics at Citrus College in Glendora, CA. He has written nine math books-a paperback series and a hard-cover series. An extraordinary author, he is dedicated to his students' success, relentlessly meticulous, creative, and a visionary who maintains a keen focus on his students' greatest challenges. Alan received his Bachelor of Science degree in Mathematics from the University of Redlands and his Master of Science degree in Applied Mathematics from California State University, Los Angeles. He has taught up and down the curriculum from prealgebra to differential equations. He is currently focusing on the developmental math courses. Professor Tussy is a member of the American Mathematical Association of Two-Year Colleges.

R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.

Diane Koenig received a Bachelor of Science degree in Secondary Math Education from Illinois State University in 1980. She began her career at Rock Valley College in 1981, when she became the Math Supervisor for the newly formed Personalized Learning Center. Earning her Master's Degree in Applied Mathematics from Northern Illinois University, Ms. Koenig in 1984 had the distinction of becoming the first full-time woman mathematics faculty at Rock Valley College. In addition to being nominated for AMATYC's Excellence in Teaching Award, Diane Koenig was chosen as the Rock Valley College Faculty of the Year by her peers in 2005, and, in 2006, she was awarded the NISOD Teaching Excellence Award as well as the Illinois Mathematics Association of Community Colleges Award for Teaching Excellence. In addition to her teaching, Ms. Koenig has been an active member of the Illinois Mathematics Association of Community Colleges (IMACC). As a member, she has served on the board of directors, on a state-level task force rewriting the course outlines for the developmental mathematics courses, and as the association's newsletter editor.

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Table of Contents

1 A Review of Basic Algebra 1
TLE Lesson 1 The Real Numbers
1.1 The Language of Algebra 4
1.2 The Real Number System 11
1.3 Operations with Real Numbers 22
1.4 Simplifying Algebraic Expressions 36
1.5 Solving Linear Equations and Formulas 47
1.6 Using Equations to Solve Problems 60
1.7 More Problem Solving 71
Key Concept: Let x = 87
Accent on Teamwork 88
Chapter Review 89
Chapter Test 95
2 Graphs, Equations of Lines, and Functions 97
TLE Lesson 2 The Rectangular Coordinate System
TLE Lesson 3 Rate of Change and the Slope of a Line
TLE Lesson 4 Function Notation
2.1 The Rectangular Coordinate System 100
2.2 Graphing Linear Equations 112
2.3 Rate of Change and the Slope of a Line 124
2.4 Writing Equations of Lines 137
2.5 Introduction to Functions 149
2.6 Graphs of Functions 162
Key Concept: Functions 174
Accent on Teamwork 175
Chapter Review 176
Chapter Test 181
Cumulative Review Exercises 183
3 Systems of Equations 185
TLE Lesson 5 Solving Systems of Equations by Graphing
3.1 Solving Systems by Graphing 188
3.2 Solving Systems Algebraically 197
3.3 Systems of Three Equations 211
3.4 Solving Systems Using Matrices 223
3.5 Solving Systems Using Determinants 232
Key Concept: Systems of Equations 242
Accent on Teamwork 243
Chapter Review 244
Chapter Test 249
Cumulative Review Exercises 251
4 Inequalities 253
TLE Lesson 6 Absolute Value Equations
4.1 Solving Linear Inequalities 256
4.2 Solving Compound Inequalities 268
4.3 Solving Absolute Value Equations and Inequalities 278
4.4 Linear Inequalities in Two Variables 288
4.5 Systems of Linear Inequalities 297
Key Concept: Inequalities 306
Accent on Teamwork 307
Chapter Review 308
Chapter Test 313
Cumulative Review Exercises 315
5 Exponents, Polynomials, and Polynomial Functions 317
TLE Lesson 7 The Greatest Common Factor and Factoring by Grouping
TLE Lesson 8 Factoring Trinomials and the Difference of Squares
5.1 Exponents 320
5.2 Scientific Notation 329
5.3 Polynomials and Polynomial Functions 336
5.4 Multiplying Polynomials 348
5.5 The Greatest Common Factor and Factoring by Grouping 358
5.6 The Difference of Two Squares; the Sum and Difference of Two Cubes 365
5.7 Factoring Trinomials 372
5.8 Summary of Factoring Techniques 381
5.9 Solving Equations by Factoring 384
Key Concept: Polynomials 394
Accent on Teamwork 395
Chapter Review 396
Chapter Test 401
Cumulative Review Exercises 403
6 Rational Expressions, Equations, and Functions 405
TLE Lesson 9 Solving Rational Equations
6.1 Rational Functions and Simplifying Rational Expressions 408
6.2 Multiplying and Dividing Rational Expressions 419
6.3 Adding and Subtracting Rational Expressions 428
6.4 Complex Fractions 436
6.5 Equations Containing Rational Expressions 445
6.6 Dividing Polynomials 458
6.7 Proportion and Variation 469
Key Concept: Expressions and Equations 483
Accent on Teamwork 484
Chapter Review 485
Chapter Test 491
Cumulative Review Exercises 493
7 Radical Expressions, Equations, and Functions 496
TLE Lesson 10 Simplifying Radical Expressions
TLE Lesson 11 Radical Equations
7.1 Radical Expressions and Radical Functions 499
7.2 Simplifying and Combining Radical Expressions 510
7.3 Multiplying and Dividing Radical Expressions 519
7.4 Radical Equations 528
7.5 Rational Exponents 536
7.6 Geometric Applications of Radicals 547
Key Concept: Radicals 557
Accent on Teamwork 558
Chapter Review 559
Chapter Test 565
Cumulative Review Exercises 567
8 Quadratic Equations, Functions, and Inequalities 569
TLE Lesson 12 The Quadratic Formula
8.1 Completing the Square 572
8.2 The Quadratic Formula 582
8.3 Quadratic Functions and Their Graphs 591
8.4 Complex Numbers 606
8.5 The Discriminant and Equations That Can Be Written in Quadratic Form 616
8.6 Quadratic and Other Nonlinear Inequalities 623
Key Concept: Solving Quadratic Equations 631
Accent on Teamwork 632
Chapter Review 633
Chapter Test 639
Cumulative Review Exercises 641
9 Exponential and Logarithmic Functions 644
TLE Lesson 13 Exponential Functions
TLE Lesson 14 Properties of Logarithms
9.1 Algebra and Composition of Functions 647
9.2 Inverses of Functions 654
9.3 Exponential Functions 664
9.4 Base-e Exponential Functions 676
9.5 Logarithmic Functions 684
9.6 Base-e Logarithms 695
9.7 Properties of Logarithms 700
9.8 Exponential and Logarithmic Equations 709
Key Concept: Inverse Functions 721
Accent on Teamwork 722
Chapter Review 723
Chapter Test 729
Cumulative Review Exercises 731
10 Conic Sections; More Graphing 733
TLE Lesson 15 Introduction to Conic Sections
10.1 The Circle and the Parabola 736
10.2 The Ellipse 747
10.3 The Hyperbola 756
10.4 Solving Simultaneous Second-Degree Equations 764
Key Concept: Conic Sections 770
Accent on Teamwork 771
Chapter Review 772
Chapter Test 775
Cumulative Review Exercises 777
Appendix I Fractions and Decimals 1
Appendix II Cumulative Review of Graphing 13
Appendix III Answers to Selected Exercises (Appears in the Student Edition only) 15
Index 1
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