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Elementary Algebra for College Students,9780131400238
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Elementary Algebra for College Students

by
Edition:
6th
ISBN13:

9780131400238

ISBN10:
0131400231
Format:
Hardcover
Pub. Date:
1/1/2004
Publisher(s):
Prentice Hall

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Summary

For freshman-level, one- or two- semester courses in Developmental Algebra. The Angel Series continues to offer proven pedagogy sound exercise sets and superior student support. An emphasis on the practical applications of algebra motivates students and encourages them to see algebra as an important part of their daily lives. The student-friendly writing style uses short, clear sentences and easy-to-understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. The new editions continue to place a strong emphasis on problem solving, incorporating it as a theme throughout the texts. Angel's solid exercise sets are recognized by reviewers as of the highest standard providing a large number of problems, paired exercises, and a broad and increasing range of difficulty.

Table of Contents

Preface ix
To the Student xxii
Real Numbers
1(96)
Study Skills for Success in Mathematics
2(6)
Problem Solving
8(12)
Fractions
20(11)
The Real Number System
31(6)
Inequalities
37(5)
Addition of Real Numbers
42(10)
Subtraction of Real Numbers
52(10)
Multiplication and Division of Real Numbers
62(9)
Exponents, Parentheses, and the Order of Operations
71(12)
Properties of the Real Number System
83(14)
Chapter Summary
91(1)
Chapter Review Exercises
92(3)
Chapter Practice Test
95(2)
Solving Linear Equations and Inequalities
97(73)
Combining Like Terms
98(9)
The Addition Property of Equality
107(9)
The Multiplication Property of Equality
116(7)
Solving Linear Equations with a Variable on Only One Side of the Equation
123(10)
Solving Linear Equations with the Variable on Both Sides of the Equation
133(10)
Ratios and Proportions
143(15)
Inequalities in One Variable
158(12)
Chapter Summary
165(1)
Chapter Review Exercises
166(2)
Chapter Practice Test
168(1)
Cumulative Review Test
169(1)
Formulas and Applications of Algebra
170(71)
Formulas
171(14)
Changing Application Problems into Equations
185(14)
Solving Application Problems
199(13)
Geometric Problems
212(6)
Motion, Money, and Mixture Problems
218(23)
Chapter Summary
234(1)
Chapter Review Exercises
235(3)
Chapter Practice Test
238(1)
Cumulative Review Test
239(2)
Exponents and Polynomials
241(61)
Exponents
242(10)
Negative Exponents
252(8)
Scientific Notation
260(12)
Addition and Subtraction of Polynomials
272(8)
Multiplication of Polynomials
280(10)
Division of Polynomials
290(12)
Chapter Summary
297(1)
Chapter Review Exercises
298(2)
Chapter Practice Test
300(1)
Cumulative Review Test
300(2)
Factoring
302(64)
Factoring a Monomial from a Polynomial
303(7)
Factoring by Grouping
310(6)
Factoring Trinomials of the form ax2 + bx + c, a = 1
316(9)
Factoring Trinomials of the form ax2 + bx + c, a ≠ 1
325(13)
Special Factoring Formulas and a General Review of Factoring
338(8)
Solving Quadratic Equations Using Factoring
346(6)
Applications of Quadratic Equations
352(14)
Chapter Summary
361(1)
Chapter Review Exercises
362(2)
Chapter Practice Test
364(1)
Cumulative Review Test
364(2)
Rational Expressions and Equations
366(73)
Simplifying Rational Expressions
367(8)
Multiplication and Division of Rational Expressions
375(7)
Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
382(8)
Addition and Subtraction of Rational Expressions
390(9)
Complex Fractions
399(5)
Solving Rational Equations
404(9)
Rational Equations: Applications and Problem Solving
413(13)
Variation
426(13)
Chapter Summary
433(1)
Chapter Review Exercises
434(2)
Chapter Practice Test
436(1)
Cumulative Review Test
437(2)
Graphing Linear Equations
439(69)
The Cartesian Coordinate System and Linear Equations in Two Variables
440(10)
Graphing Linear Equations
450(12)
Slope of a Line
462(12)
Slope-Intercept and Point-Slope Forms of a Linear Equation
474(13)
Graphing Linear Inequalities
487(3)
Functions
490(18)
Chapter Summary
501(1)
Chapter Review Exercises
502(3)
Chapter Practice Test
505(1)
Cumulative Review Test
506(2)
Systems of Linear Equations
508(48)
Solving Systems of Equations Graphically
509(11)
Solving Systems of Equations by Substitution
520(6)
Solving Systems of Equations by the Addition Method
526(9)
Systems of Equations: Applications and Problem Solving
535(13)
Solving Systems of Linear Inequalities
548(8)
Chapter Summary
551(1)
Chapter Review Exercises
551(2)
Chapter Practice Test
553(1)
Cumulative Review Test
554(2)
Roots and Radicals
556(58)
Evaluating Square Roots
557(8)
Simplifying Square Roots
565(6)
Adding, Subtracting, and Multiplying Square Roots
571(6)
Dividing Square Roots
577(9)
Solving Radical Equations
586(7)
Radicals: Applications and Problem Solving
593(8)
Higher Roots and Rational Exponents
601(13)
Chapter Summary
609(1)
Chapter Review Exercises
609(3)
Chapter Practice Test
612(1)
Cumulative Review Test
612(2)
Quadratic Equations
614(1)
The Square Root Property
615(5)
Solving Quadratic Equations by Completing the Square
620(7)
Solving Quadratic Equations by the Quadratic Formula
627(12)
Graphing Quadratic Equations
639(10)
Complex Numbers
649(9)
Chapter Summary
653(1)
Chapter Review Exercises
654(2)
Chapter Practice Test
656(1)
Cumulative Review Test
656(2)
Appendices
A Review of Decimals and Percents
658(3)
B Finding the Greatest Common Factor and Least Common Denominator
661(2)
C Geometry
663
Answers 1(1)
Index 1(1)
Photo Credits 1

Excerpts

This book was written for college students and other adults who have never been exposed to algebra or those who have been exposed but need a refresher course. My primary goal was to write a book that students can read, understand, and enjoy. To achieve this goal I have used short sentences, clear explanations, and many detailed, worked-out examples. I have tried to make the book relevant to college students by using practical applications of algebra throughout the text. Features of the Text Full-Color Format.Color is used pedagogically in the following ways: Important definitions and procedures are color screened. Color screening or color type is used to make other important items stand out. Artwork is enhanced and clarified with use of multiple colors. The full-color format allows for easy identification of important features by students. The full-color format makes the text more appealing and interesting to students. Readability.One of the most important features of the text is its readability. The book is very readable, even for those with .weak reading skills. Short, clear sentences are used and more easily recognized, and easy-to-understand language is used whenever possible. Accuracy.Accuracy in a mathematics text is essential. To ensure accuracy in this book, mathematicians from around the country have read the pages carefully for typographical errors and have checked all the answers. Connections.Many of our students do not thoroughly grasp new concepts the first time they are presented. In this text we encourage students to make connections. That is, we introduce a concept, then later in the text briefly reintroduce it and build upon it. Often an important concept is used in many sections of the text. Students are reminded where the material was seen before, or where it will be used again. This also serves to emphasize the importance of the concept. Important concepts are also reinforced throughout the text in the Cumulative Review Exercises and Cumulative Review Tests. Chapter Opening Application.Each chapter begins with a real-life application related to the material covered in the chapter. By the time students complete the chapter, they should have the knowledge to work the problem. A Look Ahead.This feature at the beginning of each chapter gives students a preview of the chapter and also indicates where this material will be used again in other chapters of the book. This material helps students see the connections between various topics in the book and the connection to realworld situations. The Use of Icons.At the beginning of each chapter and of each section, a variety of icons are illustrated. These icons are provided to tell students where they may be able to get extra help if needed. There are icons for theStudent's Solution Manual;theStudent's Study Guide); CDs and videotapes; Math Pro the Prentice Hall Tutor Center;and theAngel Website.Each of these items will be discussed shortly. Keyed Section Objectives.Each section opens with a list of skills that the student should learn in that section. The objectives are then keyed to the appropriate portions of the sections with red numbers such as1. Problem Solving.Polya's five-step problem-solving procedure is discussed in Section 1.2. Throughout the book problem solving and Polya's problem-solving procedure are emphasized. Practical Applications.Practical applications of algebra are stressed throughout the text. Students need to learn how to translate application problems into algebraic symbols. The problem-solving approach used throughout this text gives students ample practice in setting up and solving application problems. The use of practical applications motivates students. Detailed. Worked-Out Examples.A wealth of examples have been wo


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