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Intermediate Algebra,9780673990594
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Intermediate Algebra

by ; ;
Edition:
7th
ISBN13:

9780673990594

ISBN10:
0673990591
Format:
Hardcover
Pub. Date:
9/1/1995
Publisher(s):
Pearson College Div

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Summary

Key Message: The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package. Key Topics: Review of the Real Number System; Linear Equations, Inequalities, and Applications; 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; Inverse, Exponential, and Logarithmic Functions; Nonlinear Functions, Conic Sections, and Nonlinear Systems; Sequences and Series Market: For all readers interested in Intermediate Algebra.

Table of Contents

Preface xi
To the Student: Success in Algebra xxi
An Introduction to Graphics Calculators xxiii
The Real Numbers
1(40)
Basic Terms
2(11)
Operations on Real Numbers
13(13)
Properties of Real Numbers
26(15)
Summary
33(1)
Key Terms
33(1)
New Symbols
33(1)
Quick Review
33(2)
Review Exercises
35(4)
Test
39(2)
Linear Equations and Inequalities
41(82)
Linear Equations in One Variable
42(8)
Formulas and Topics from Geometry
50(10)
Applications of Linear Equations
60(12)
More Applications of Linear Equations
72(9)
Linear Inequalities in One Variable
81(10)
Set Operations and Compound Inequalities
91(7)
Absolute Value Equations and Inequalities
98(25)
Summary: Solving Linear and Absolute Value Equations and Inequalities
108(1)
Summary
109(1)
Key Terms
109(1)
New Symbols
109(1)
Quick Review
110(3)
Review Exercises
113(6)
Test
119(1)
Cumulative Review (Chapters 1--2)
120(3)
Exponents and Polynomials
123(78)
Integer Exponents
124(7)
Further Properties of Exponents
131(9)
Addition and Subtraction of Polynomials
140(9)
Multiplication of Polynomials
149(8)
Greatest Common Factors; Factoring by Grouping
157(7)
Factoring Trinomials
164(7)
Special Factoring
171(6)
General Methods of Factoring
177(5)
Solving Equations by Factoring
182(19)
Summary
190(1)
Key Terms
190(1)
New Symbols
190(1)
Quick Review
190(2)
Review Exercises
192(5)
Test
197(1)
Cumulative Review (Chapters 1--3)
198(3)
Rational Expressions
201(60)
Multiplication and Division of Rational Expressions
202(10)
Addition and Subtraction of Rational Expressions
212(6)
Complex Fractions
218(6)
Division of Polynomials
224(5)
Synthetic Division
229(5)
Equations with Rational Expressions
234(6)
Summary of Rational Expressions: Equations Versus Expressions
239(1)
Applications
240(21)
Summary
250(1)
Key Terms
250(1)
Quick Review
250(3)
Review Exercises
253(4)
Test
257(1)
Cumulative Review (Chapters 1--4)
258(3)
Roots and Radicals
261(60)
Rational Exponents and Radicals
262(7)
More About Rational Exponents and Radicals
269(5)
Simplifying Radicals
274(8)
Adding and Subtracting Radical Expressions
282(5)
Multiplying and Dividing Radical Expressions
287(8)
Equations with Radicals
295(7)
Complex Numbers
302(19)
Summary
310(1)
Key Terms
310(1)
New Symbols
310(1)
Quick Review
310(3)
Review Exercises
313(4)
Test
317(1)
Cumulative Review (Chapters 1--5)
318(3)
Quadratic Equations and Inequalities
321(52)
Completing the Square
322(8)
The Quadratic Formula
330(10)
Equations Quadratic in Form
340(8)
Formulas and Applications
348(9)
Nonlinear Inequalities
357(16)
Summary
363(1)
Key Terms
363(1)
Quick Review
363(3)
Review Exercises
366(3)
Test
369(1)
Cumulative Review (Chapters 1--6)
370(3)
The Straight Line
373(78)
The Rectangular Coordinate System
374(15)
The Slope of a Line
389(14)
Linear Equations
403(10)
Linear Inequalities
413(8)
Introduction to Functions
421(12)
Variation
433(18)
Summary
442(1)
Key Terms
442(1)
New Symbols
442(1)
Quick Review
442(2)
Review Exercises
444(3)
Test
447(2)
Cumulative Review (Chapters 1--7)
449(2)
Systems of Linear Equations
451(62)
Linear Systems of Equations in Two Variables
452(10)
Linear Systems of Equations in Three Variables
462(7)
Applications of Linear Systems of Equations
469(11)
Solution of Linear Systems of Equations by Matrix Methods
480(9)
Determinants
489(6)
Solution of Linear Systems of Equations by Determinants---Cramer's Rule
495(18)
Summary
501(1)
Key Terms
501(1)
New Symbols
501(1)
Quick Review
502(3)
Review Exercises
505(4)
Test
509(1)
Cumulative Review (Chapters 1--8)
510(3)
Quadratic Functions and The Conic Sections
513(74)
Quadratic Functions: Paraboles
514(10)
More About Parabolas and Their Applications
524(11)
The Circle and the Ellipse
535(10)
The Hyperbola and Square Root Functions
545(11)
Nonlinear Systems of Equations
556(10)
Second-Degree Inequalities and Systems of Inequalities
566(21)
Summary
574(1)
Key Terms
574(1)
Quick Review
574(3)
Review Exercises
577(6)
Test
583(1)
Cumulative Review (Chapters 1--9)
584(3)
Inverse, Exponential, and Logarithmic Functions
587(62)
Inverse Functions
588(9)
Exponential Functions
597(9)
Logarithmic Functions
606(8)
Properties of Logarithms
614(7)
Evaluating Logarithms
621(9)
Exponential and Logarithmic Equations and Their Applications
630(19)
Summary
638(1)
Key Terms
638(1)
New Symbols
638(1)
Quick Review
638(3)
Review Exercises
641(4)
Test
645(1)
Cumulative Review (Chapters 1-10)
646(3)
Sequences and Series
649(36)
Sequences and Series
650(7)
Arithmetic Sequences
657(6)
Geometric Sequences
663(8)
The Binomial Theorem
671(14)
Summary
677(1)
Key Terms
677(1)
New Symbols
677(1)
Quick Review
677(2)
Review Exercises
679(2)
Test
681(1)
Cumulative Review (Chapters 1--11)
682(3)
Answers to Selected Exercises 685(42)
Index 727


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