Introductory Algebra

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

• ISBN13: 9780321064585
• ISBN10: 0321064585
• Edition: 7th
• Format: Paperback
• Copyright: 2002-01-01
• Publisher: Addison Wesley

Table of Contents

List of Applications	vii
List of Focus on Real-Data Applications	xi
Preface	xiii
Feature Walk-Through	xix
An Introduction to Calculators	xxiii
To the Student	xxix
Diagnostic Pretest	xxxi
Prealgebra Review	1	(24)
Fractions	1	(14)
Decimals and Percents	15	(10)
The Real Number System	25	(80)
Exponents, Order of Operations, and Inequality	26	(7)
Variables, Expressions, and Equations	33	(8)
Real Numbers and the Number Line	41	(8)
Addition of Real Numbers	49	(8)
Subtraction of Real Numbers	57	(8)
Multiplication and Division of Real Numbers	65	(12)
Properties of Real Numbers	77	(10)
Simplifying Expressions	87	(18)
Summary	93	(4)
Review Exercises	97	(6)
Test	103	(2)
Equations, Inequalities, and Applications	105	(78)
The Addition Property of Equality	106	(7)
The Multiplication Property of Equality	113	(6)
More on Solving Linear Equations	119	(8)
An Introduction to Applications of Linear Equations	127	(10)
Formulas and Applications from Geometry	137	(10)
Ratio, Proportion, and Percent	147	(14)
Summary Exercises on Solving Applied Problems	157	(4)
Solving Linear Inequalities	161	(22)
Summary	171	(4)
Review Exercises	175	(4)
Test	179	(2)
Cumulative Review Exercises: Chapter R-2	181	(2)
Graphs of Linear Equations and Inequalities in Two Variables	183	(78)
Reading Graphs; Linear Equations in Two Variables	184	(17)
Graphing Linear Equations in Two Variables	201	(14)
Slope	215	(10)
Equations of Lines	225	(12)
Graphing Linear Inequalities in Two Variables	237	(24)
Summary	245	(4)
Review Exercises	249	(6)
Test	255	(4)
Cumulative Review Exercises: Chapter R-3	259	(2)
Exponents and Polynomials	261	(70)
Adding and Subtracting Polynomials	262	(9)
The Product Rule and Power Rules for Exponents	271	(8)
Multiplying Polynomials	279	(8)
Special Products	287	(6)
Integer Exponents and the Quotient Rule	293	(10)
Dividing a Polynomial by a Monomial	303	(4)
The Quotient of Two Polynomials	307	(6)
An Application of Exponents: Scientific Notation	313	(18)
Summary	319	(4)
Review Exercises	323	(4)
Test	327	(2)
Cumulative Review Exercises: Chapter R-4	329	(2)
Factoring and Applications	331	(68)
Factors; The Greatest Common Factor	332	(9)
Factoring Trinomials	341	(6)
Factoring Trinomials by Grouping	347	(4)
Factoring Trinomials Using FOIL	351	(6)
Special Factoring Techniques	357	(8)
Summary Exercises on Factoring	363	(2)
Solving Quadratic Equations by Factoring	365	(8)
Applications of Quadratic Equations	373	(26)
Summary	385	(4)
Review Exercises	389	(6)
Test	395	(2)
Cumulative Review Exercises: Chapter R-5	397	(2)
Rational Expressions and Applications	399	(86)
The Fundamental Property of Rational Expressions	400	(9)
Multiplying and Dividing Rational Expressions	409	(8)
Least Common Denominators	417	(6)
Adding and Subtracting Rational Expressions	423	(10)
Complex Fractions	433	(8)
Solving Equations with Rational Expressions	441	(12)
Summary Exercises on Operations and Equations with Rational Expressions	451	(2)
Applications of Rational Expressions	453	(12)
Variation	465	(20)
Summary	471	(6)
Review Exercises	477	(4)
Test	481	(2)
Cumulative Review Exercises: Chapter R-6	483	(2)
Systems of Equations and Inequalities	485	(60)
Solving Systems of Linear Equations by Graphing	486	(9)
Solving Systems of Linear Equations by Substitution	495	(10)
Solving Systems of Linear Equations by Elimination	505	(10)
Applications of Linear Systems	515	(10)
Solving Systems of Linear Inequalities	525	(20)
Summary	531	(4)
Review Exercises	535	(4)
Test	539	(2)
Cumulative Review Exercises: Chapter R-7	541	(4)
Roots and Radicals	545	(68)
Evaluating Roots	546	(11)
Multiplying, Dividing, and Simplifying Radicals	557	(10)
Adding and Subtracting Radicals	567	(4)
Rationalizing the Denominator	571	(8)
More Simplifying and Operations with Radicals	579	(10)
Solving Equations with Radicals	589	(24)
Summary	599	(4)
Review Exercises	603	(6)
Test	609	(2)
Cumulative Review Exercises: Chapter R-8	611	(2)
Quadratic Equations	613	(58)
Solving Quadratic Equations by the Square Root Property	614	(7)
Solving Quadratic Equations by Completing the Square	621	(8)
Solving Quadratic Equations by the Quadratic Formula	629	(10)
Summary Exercises on Quadratic Equations	637	(2)
Graphing Quadratic Equations	639	(8)
Introduction to Functions	647	(24)
Summary	657	(4)
Review Exercises	661	(4)
Test	665	(2)
Cumulative Review Exercises: Chapter R-9	667	(4)
Appendix A Sets	671	(6)
Appendix B Factoring Sums and Differences of Cubes	677
Answers to Selected Exercises	1	(1)
Index	1	(6)
Video Index	7