Introductory Algebra

by Lial, Margaret L.; Hornsby, John; McGinnis, Terry

• ISBN13: 9780321279217
• ISBN10: 0321279212
• Edition: 8th
• Format: Paperback
• Copyright: 2006-01-01
• Publisher: Addison Wesley

Summary

Normal 0 false false false MicrosoftInternetExplorer4 Lial/Hornsby/McGinnisrs"sIntroductory Algebra,8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includes an effective new design, many new exercises and applications, and increased Summary Exercises to enhance comprehension and challenge studentsrs" knowledge of the subject matter. Prealgebra Review; The Real Number System; Equations, Inequalities, and Applications; Graphs of Linear Equations and Inequalities in Two Variables; Systems of Equations and Inequalities; Exponents and Polynomials; Factoring and Applications; Rational Expressions and Applications; Roots and Radicals; Quadratic Equations For all readers interested in introductory algebra.

Table of Contents

Index of Applications	v
Videotape and CD Index	viii
Index of Focus on Real-Data Applications	ix
Preface	xi
Feature Walk-Through	xvii
An Introduction to Calculators	xxi
To the Student: Success in Algebra	xxvii
Diagnostic Pretest	xxix
Prealgebra Review	1	(22)
Fractions	1	(12)
Decimals and Percents	13	(10)
The Real Number System	23	(84)
Exponents, Order of Operations, and Inequality	24	(7)
Variables, Expressions, and Equations	31	(8)
Real Numbers and the Number Line	39	(8)
Adding Real Numbers	47	(8)
Subtracting Real Numbers	55	(10)
Multiplying and Dividing Real Numbers	65	(14)
Summary Exercises on Operations with Real Numbers	77	(2)
Properties of Real Numbers	79	(10)
Simplifying Expressions	89	(18)
Summary	95	(4)
Review Exercises	99	(6)
Test	105	(2)
Equations, Inequalities, and Applications	107	(86)
The Addition Property of Equality	108	(7)
The Multiplication Property of Equality	115	(6)
More on Solving Linear Equations	121	(12)
Summary Exercises on Solving Linear Equations	131	(2)
An Introduction to Applications of Linear Equations	133	(14)
Formulas and Applications from Geometry	147	(10)
Ratio, Proportion, and Percent	157	(14)
Summary Exercises on Solving Applied Problems	167	(4)
Solving Linear Inequalities	171	(22)
Summary	181	(4)
Review Exercises	185	(4)
Test	189	(2)
Cumulative Review Exercises	191	(2)
Graphs of Linear Equations and Inequalities in Two Variables	193	(80)
Reading Graphs; Linear Equations in Two Variables	194	(15)
Graphing Linear Equations in Two Variables	209	(14)
Slope of a Line	223	(12)
Equations of Lines	235	(14)
Summary Exercises on Graphing Linear Equations	247	(2)
Graphing Linear Inequalities in Two Variables	249	(24)
Summary	257	(4)
Review Exercises	261	(6)
Test	267	(4)
Cumulative Review Exercises	271	(2)
Systems of Linear Equations and Inequalities	273	(58)
Solving Systems of Linear Equations by Graphing	274	(9)
Solving Systems of Linear Equations by Substitution	283	(8)
Solving Systems of Linear Equations by Elimination	291	(10)
Summary Exercises on Solving Systems of Linear Equations	299	(2)
Applications of Linear Systems	301	(12)
Solving Systems of Linear Inequalities	313	(18)
Summary	319	(4)
Review Exercises	323	(4)
Test	327	(2)
Cumulative Review Exercises	329	(2)
Exponents and Polynomials	331	(72)
Adding and Subtracting Polynomials	332	(9)
The Product Rule and Power Rules for Exponents	341	(8)
Multiplying Polynomials	349	(8)
Special Products	357	(6)
Integer Exponents and the Quotient Rule	363	(12)
Summary Exercises on the Rules for Exponents	373	(2)
Dividing a Polynomial by a Monomial	375	(4)
Dividing a Polynomial by a Polynomial	379	(6)
An Application of Exponents: Scientific Notation	385	(18)
Summary	391	(4)
Review Exercises	395	(4)
Test	399	(2)
Cumulative Review Exercises	401	(2)
Factoring and Applications	403	(68)
Factors; The Greatest Common Factor	404	(9)
Factoring Trinomials	413	(6)
Factoring Trinomials by Grouping	419	(4)
Factoring Trinomials Using FOIL	423	(6)
Special Factoring Techniques	429	(8)
Summary Exercises on Factoring	435	(2)
Solving Quadratic Equations by Factoring	437	(8)
Applications of Quadratic Equations	445	(26)
Summary	457	(4)
Review Exercises	461	(6)
Test	467	(2)
Cumulative Review Exercises	469	(2)
Rational Expressions and Applications	471	(88)
The Fundamental Property of Rational Expressions	472	(9)
Multiplying and Dividing Rational Expressions	481	(8)
Least Common Denominators	489	(6)
Adding and Subtracting Rational Expressions	495	(10)
Complex Fractions	505	(8)
Solving Equations with Rational Expressions	513	(14)
Summary Exercises on Rational Expressions and Equations	525	(2)
Applications of Rational Expressions	527	(12)
Variation	539	(20)
Summary	545	(6)
Review Exercises	551	(4)
Test	555	(2)
Cumulative Review Exercises	557	(2)
Roots and Radicals	559	(70)
Evaluating Roots	560	(11)
Multiplying, Dividing, and Simplifying Radicals	571	(10)
Adding and Subtracting Radicals	581	(4)
Rationalizing the Denominator	585	(8)
More Simplifying and Operations with Radicals	593	(12)
Summary Exercises on Operations with Radicals	603	(2)
Solving Equations with Radicals	605	(24)
Summary	615	(4)
Review Exercises	619	(6)
Test	625	(2)
Cumulative Review Exercises	627	(2)
Quadratic Equations	629	(58)
Solving Quadratic Equations by the Square Root Property	630	(7)
Solving Quadratic Equations by Completing the Square	637	(8)
Solving Quadratic Equations by the Quadratic Formula	645	(10)
Summary Exercises on Quadratic Equations	653	(2)
Graphing Quadratic Equations	655	(8)
Introduction to Functions	663	(24)
Summary	673	(4)
Review Exercises	677	(4)
Test	681	(2)
Cumulative Review Exercises	683	(4)
Appendix A Strategies for Problem Solving	687	(14)
Appendix B Sets	701	(6)
Appendix C Mean, Median, and Mode	707	(8)
Appendix D Factoring Sums and Differences of Cubes	715
Answers to Selected Exercises	1	(1)
Index	1