Intermediate Algebra

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• ISBN10:

0321279204

• Edition: 8th
• Format: Paperback
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Summary

Normal 0 false false false MicrosoftInternetExplorer4 Lial/Hornsby/McGinnisrs"sIntermediate 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. Review of the Real Number System; Linear Equations and Applications; Linear Inequalities and Absolute Value; Graphs, Linear Equations, and Functions; Systems of Linear Equations; Exponents, Polynomials, and Polynomial Functions; Factoring; Rational Expressions and Functions; Roots, Radicals, and Root Functions; Quadratic Equations, Inequalities, and Functions; Exponential and Logarithmic Functions; Nonlinear Functions, Conic Sections, and Nonlinear Systems For all readers interested in intermediate algebra.

Index of Applications v
Index of Focus on Real-Data Applications ix
Preface xi
Feature Walk-Through xvii
An Introduction to Calculators xxi
To the Student xxvii
Diagnostic Pretest xxix
 Review of the Real Number System
1(52)
 Basic Concepts
2(13)
 Operations on Real Numbers
15(10)
 Exponents, Roots, and Order of Operations
25(10)
 Properties of Real Numbers
35(18)
 Summary
43(4)
 Review Exercises
47(4)
 Test
51(2)
 Linear Equations and Applications
53(60)
 Linear Equations in One Variable
54(11)
 Formulas
65(12)
 Applications of Linear Equations
77(14)
 Further Applications of Linear Equations
91(22)
 Summary Exercises on Solving Applied Problems
99(2)
 Summary
101(4)
 Review Exercises
105(4)
 Test
109(2)
 Cumulative Review Exercises
111(2)
 Linear Inequalities and Absolute Value
113(52)
 Linear Inequalities in One Variable
114(15)
 Set Operations and Compound Inequalities
129(10)
 Absolute Value Equations and Inequalities
139(26)
 Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities
151(2)
 Summary
153(4)
 Review Exercises
157(4)
 Test
161(2)
 Cumulative Review Exercises
163(2)
 Graphs, Linear Equations, and Functions
165(86)
 The Rectangular Coordinate System
166(11)
 Slope
177(14)
 Linear Equations in Two Variables
191(14)
 Linear Inequalities in Two Variables
205(8)
 Introduction to Functions
213(16)
 Variation
229(22)
 Summary
239(4)
 Review Exercises
243(4)
 Test
247(2)
 Cumulative Review Exercises
249(2)
 Systems of Linear Equations
251(60)
 Systems of Linear Equations in Two Variables
252(15)
 Systems of Linear Equations in Three Variables
267(10)
 Applications of Systems of Linear Equations
277(14)
 Solving Systems of Linear Equations by Matrix Methods
291(20)
 Summary
299(4)
 Review Exercises
303(4)
 Test
307(2)
 Cumulative Review Exercises
309(2)
 Exponents, Polynomials, and Polynomial Functions
311(60)
 Integer Exponents and Scientific Notation
312(17)
329(6)
 Polynomial Functions
335(8)
 Multiplying Polynomials
343(10)
 Dividing Polynomials
353(18)
 Summary
359(4)
 Review Exercises
363(4)
 Test
367(2)
 Cumulative Review Exercises
369(2)
 Factoring
371(42)
 Greatest Common Factors; Factoring by Grouping
372(7)
 Factoring Trinomials
379(8)
 Special Factoring
387(8)
 Summary Exercises on Factoring
393(2)
 Solving Equations by Factoring
395(18)
 Summary
405(2)
 Review Exercises
407(2)
 Test
409(2)
 Cumulative Review Exercises
411(2)
 Rational Expressions and Functions
413(66)
 Rational Expressions and Functions: Multiplying and Dividing
414(11)
425(10)
 Complex Fractions
435(6)
 Equations with Rational Expressions and Graphs
441(10)
 Summary Exercises on Rational Expressions and Equations
449(2)
 Applications of Rational Expressions
451(28)
 Summary
465(4)
 Review Exercises
469(4)
 Test
473(2)
 Cumulative Review Exercises
475(4)
479(78)
480(9)
 Rational Exponents
489(10)
499(12)
511(4)
515(12)
 Summary Exercises on Operations with Radicals and Rational Exponents
525(2)
527(8)
 Complex Numbers
535(22)
 Summary
545(4)
 Review Exercises
549(4)
 Test
553(2)
 Cumulative Review Exercises
555(2)
557(94)
 The Square Root Property and Completing the Square
558(11)
569(8)
577(14)
 Summary Exercises on Solving Quadratic Equations
589(2)
 Formulas and Further Applications
591(8)
599(12)
611(12)
623(28)
 Summary
633(4)
 Review Exercises
637(6)
 Test
643(4)
 Cumulative Review Exercises
647(4)
 Exponential and Logarithmic Functions
651(70)
 Inverse Functions
652(9)
 Exponential Functions
661(8)
 Logarithmic Functions
669(10)
 Properties of Logarithms
679(8)
 Common and Natural Logarithms
687(8)
 Exponential and Logarithmic Equations; Further Applications
695(26)
 Summary
707(4)
 Review Exercises
711(4)
 Test
715(2)
 Cumulative Review Exercises
717(4)
 Nonlinear Functions, Conic Sections, and Nonlinear Systems
721(66)
722(11)
 The Circle and the Ellipse
733(10)
 The Hyperbola, and Other Functions Defined by Radicals
743(10)
 Nonlinear Systems of Equations
753(10)
 Second-Degree Inequalities and Systems of Inequalities
763(24)
 Summary
771(4)
 Review Exercises
775(4)
 Test
779(4)
 Cumulative Review Exercises
783(4)
Appendix A Strategies for Problem Solving 787(14)
Appendix B Review of Fractions 801(12)
Appendix C Determinants and Cramer's Rule 813(10)
Appendix D Synthetic Division 823