Understanding Intermediate Algebra: A Course for College Students / Edition 4

Understanding Intermediate Algebra: A Course for College Students / Edition 4

by Lewis R. Hirsch, Arthur Goodman
     
 

This text/CD-ROM strives to present algebra as a whole rather than as a series of isolated ideas. Basic concepts, rules, and definitions are explained with numerical, analytic, and graphical examples. Many sections begin with a real-life application. Some 6,000 exercises, including calculator exercises, are included. Other learning features include critical thinking… See more details below

Overview

This text/CD-ROM strives to present algebra as a whole rather than as a series of isolated ideas. Basic concepts, rules, and definitions are explained with numerical, analytic, and graphical examples. Many sections begin with a real-life application. Some 6,000 exercises, including calculator exercises, are included. Other learning features include critical thinking questions, margin comments, boxes on the connection between algebraic and geometric aspects of concepts, and worked examples in question-and-answer format. Explanations of key elementary algebra concepts are provided for less prepared students. The CD-ROM contains video lessons for each section of the text. Hirsch is affiliated with Rutgers University. Goodman is affiliated with Queens College, City University of New York. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9780534353384
Publisher:
Cengage Learning
Publication date:
01/28/1998
Edition description:
Older Edition
Pages:
735
Product dimensions:
8.80(w) x 11.17(h) x 1.17(d)

Related Subjects

Table of Contents

Chapter 1The Fundamental Concepts1
1.1Basic Definitions: The Real Numbers and the Real Number Line2
1.2Operations with Real Numbers14
1.3Algebraic Expressions28
1.4Translating Phrases and Sentences into Algebraic Form36
1.5First-Degree Equations and Inequalities46
Chapter 1 Summary55
Chapter 1 Review Exercises57
Chapter 1 Practice Test61
Chapter 2Equations and Inequalities63
2.1Equations as Mathematical Models64
2.2First-Degree Equations and Applications74
2.3First-Degree Inequalities and Applications87
2.4Absolute-Value Equations and Inequalities99
Chapter 2 Summary107
Chapter 2 Review Exercises110
Chapter 2 Practice Test113
Chapter 3Graphing Straight Lines and Functions115
3.1The Rectangular Coordinate System and Graphing Straight Lines116
3.2Graphs and Equations128
3.3Relations and Functions: Basic Concepts141
3.4Function Notation158
3.5Interpreting Graphs166
Chapter 3 Summary178
Chapter 3 Review Exercises181
Chapter 3 Practice Test186
Chapters 1-3 Cumulative Review188
Chapters 1-3 Cumulative Practice Test192
Chapter 4Equations of a Line and Linear Systems in Two Variables195
4.1Straight Lines and Slope196
4.2Equations of a Line and Linear Functions as Mathematical Models214
4.3Linear Systems in Two Variables228
4.4Graphing Linear Inequalities in Two Variables243
Chapter 4 Summary249
Chapter 4 Review Exercises252
Chapter 4 Practice Test255
Chapter 5Polynomial Expressions and Functions257
5.1Polynomial Functions as Mathematical Models258
5.2Polynomials: Sums, Differences, and Products265
5.3General Forms and Special Products271
5.4Factoring Out the Greatest Common Factor279
5.5Factoring Trinomials284
5.6Solving Polynomial Equations by Factoring293
5.7Polynomial Division301
Chapter 5 Summary304
Chapter 5 Review Exercises305
Chapter 5 Practice Test307
Chapter 6Rational Expressions and Functions309
6.1Rational Functions310
6.2Equivalent Fractions315
6.3Multiplication and Division of Rational Expressions320
6.4Sums and Differences of Rational Expressions324
6.5Mixed Operations and Complex Fractions332
6.6Fractional Equations and Inequalities337
6.7Literal Equations343
6.8Applications: Rational Functions and Equations as Mathematical Models347
Chapter 6 Summary362
Chapter 6 Review Exercises364
Chapter 6 Practice Test368
Chapters 4-6 Cumulative Review369
Chapters 4-6 Cumulative Practice Test373
Chapter 7Exponents and Radicals375
7.1Natural Number and Integer Exponents376
7.2Scientific Notation388
7.3Rational Exponents and Radical Notation393
7.4Simplifying Radical Expressions404
7.5Adding and Subtracting Radical Expressions411
7.6Multiplying and Dividing Radical Expressions414
7.7Radical Functions and Equations418
7.8Complex Numbers425
Chapter 7 Summary433
Chapter 7 Review Exercises436
Chapter 7 Practice Test438
Chapter 8Quadratic Functions and Equations441
8.1Quadratic Functions as Mathematical Models442
8.2Solving Quadratic Equations: The Factoring and Square Root Methods450
8.3Solving Quadratic Equations: Completing the Square462
8.4Solving Quadratic Equations: The Quadratic Formula466
8.5Equations Reducible to Quadratic Form (and More Radical Equations)473
8.6Graphing Quadratic Functions480
8.7Quadratic and Rational Inequalities498
8.8The Distance Formula: Circles508
Chapter 8 Summary519
Chapter 8 Review Exercises525
Chapter 8 Practice Test529
Chapter 9More on Functions531
9.1More on Function Notation: Split Functions532
9.2Composition and the Algebra of Functions539
9.3Types of Functions544
9.4Inverse Functions551
9.5Variation559
Chapter 9 Summary567
Chapter 9 Review Exercises570
Chapter 9 Practice Test573
Chapters 7-9 Cumulative Review575
Chapters 7-9 Cumulative Practice Test578
Chapter 10Exponential and Logarithmic Functions581
10.1Exponential Functions582
10.2Logarithms and Logarithmic Functions592
10.3Properties of Logarithms598
10.4Common Logarithms, Natural Logarithms, and Change of Base603
10.5Exponential and Logarithmic Equations608
10.6Applications: Exponential and Logarithmic Functions as Mathematical Models616
Chapter 10 Summary624
Chapter 10 Review Exercises626
Chapter 10 Practice Test628
Chapter 11More Systems of Equations and Systems of Inequalities631
11.13 X 3 Linear Systems632
11.2Solving Linear Systems Using Augmented Matrices641
11.3The Algebra of Matrices651
11.4Solving Linear Systems Using Matrix Inverses659
11.5Determinants and Cramer's Rule668
11.6Systems of Linear Inequalities676
11.7Nonlinear Systems of Equations683
Chapter 11 Summary690
Chapter 11 Review Exercises695
Chapter 11 Practice Test697
Chapters 10-11 Cumulative Review698
Chapters 10-11 Cumulative Practice Test701
Appendix ASets703
Appendix BConic Sections707
Appendix CSequences and Series: The Binomial Theorem727
C.1Sequences728
C.2Series and Sigma Notation733
C.3Arithmetic Sequences and Series737
C.4Geometric Sequences and Series746
C.5The Binomial Theorem757
Appendix C Summary765
Appendix C Review Exercises767
Appendix C Practice Test770
Answers to Selected Exercises and Chapter Tests771
Index823

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