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Beginning Algebra / Edition 1

Beginning Algebra / Edition 1

by R. David Gustafson, Peter D. Frisk
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This text teaches solid mathematical skills while supporting the student with careful pedagogy. Gustafson and Frisk effectively prepare students for their next mathematics course as it presents all the topics associated with a first course in algebra. Mathematical concepts are motivated by need and illustrated through discussion, examples, and real-world applications.

Product Details

ISBN-13: 9780534040772
Publisher: Brooks/Cole
Publication date: 01/28/1985
Series: Math
Pages: 400
Product dimensions: 4.25(w) x 1.00(h) x 6.80(d)

About the Author

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: 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.

Table of Contents

Chapter 1Real Numbers and Their Basic Properties1
1.1Real Numbers and Their Graphs1
1.3Exponents and Order of Operations26
1.4Adding and Subtracting Real Numbers36
1.5Multiplying and Dividing Real Numbers45
1.6Algebraic Expressions52
1.7Properties of Real Numbers59
Chapter Summary67
Chapter Test72
Chapter 2Equations and Inequalities73
2.1Solving Basic Equations74
2.2Solving More Equations86
2.3Simplifying Expressions to Solve Equations93
2.4Introduction to Problem Solving99
2.5Motion and Mixture Problems107
2.7Solving Inequalities121
Chapter Summary129
Chapter Test133
Cumulative Review Exercises134
Chapter 3Graphing, Writing Equations of Lines; Variation136
3.1The Rectangular Coordinate System137
3.2Graphing Linear Equations148
3.3Slope of a Nonvertical Line162
3.4Writing Equations of Lines171
Chapter Summary197
Chapter Test202
Chapter 4Polynomials203
4.1Natural-Number Exponents204
4.2Zero and Negative-Integer Exponents212
4.3Scientific Notation217
4.5Adding and Subtracting Polynomials232
4.6Multiplying Polynomials238
4.7Dividing Polynomials by Monomials247
4.8Dividing Polynomials by Polynomials253
Chapter Summary259
Chapter Test262
Cumulative Review Exercises263
Chapter 5Factoring Polynomials265
5.1Factoring Out the Greatest Common Factor266
5.2Factoring by Grouping273
5.3Factoring the Difference of Two Squares278
5.4Factoring Trinomials with Lead Coefficients of 1283
5.5Factoring General Trinomials293
5.6Factoring the Sum and Difference of Two Cubes301
5.7Summary of Factoring Techniques305
5.8Problem Solving309
Chapter Summary316
Chapter Test319
Chapter 6Proportion and Rational Expressions320
6.2Proportions and Similar Triangles327
6.3Simplifying Fractions337
6.4Multiplying and Dividing Fractions344
6.5Adding and Subtracting Fractions352
6.6Complex Fractions363
6.7Solving Equations That Contain Fractions369
6.8Applications of Equations That Contain Fractions375
Chapter Summary383
Chapter Test386
Cumulative Review Exercises387
Chapter 7Systems of Equations and Inequalities389
7.1Solving Systems of Equations by Graphing390
7.2Solving Systems of Equations by Substitution401
7.3Solving Systems of Equations by Addition407
7.4Applications of Systems of Equations414
7.5Systems of Linear Inequalities425
Chapter Summary439
Chapter Test442
Chapter 8Roots and Radical Expressions443
8.1Square Roots and the Pythagorean Theorem444
8.2nth Roots and Radicands That Contain Variables454
8.3Simplifying Radical Expressions461
8.4Adding and Subtracting Radical Expressions467
8.5Multiplying and Dividing Radical Expressions471
8.6Solving Equations Containing Radicals; the Distance Formula479
8.7Rational Exponents488
Chapter Summary494
Chapter Test498
Cumulative Review Exercises499
Chapter 9Quadratic Equations and Graphing Quadratic Functions501
9.1Quadratic Equations502
9.2Completing the Square511
9.3The Quadratic Formula516
9.4Graphing Quadratic Functions524
Chapter Summary537
Chapter Test539
Appendix ISample Final Examination1
Appendix IIComplex Numbers4
Appendix IIIPowers and Roots12
Appendix IVAnswers to Selected Exercises13

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