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Introductory and Intermediate Algebra

ISBN: 9780321019264 | 0321019261
Format: Paperback
Publisher: Pearson College Div
Pub. Date: 1/1/1998

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Table of Contents
... MORE
Prefacevii
Feature Walk-Throughxii
An Introduction to the Scientific Calculatorxv
To the Student: Success in Algebraxix
The Real Number System
1(88)
Exponents, Order of Operations, and Inequality
1(8)
Variables, Expressions, and Equations
9(8)
Real Numbers and the Number Line
17(8)
Addition of Real Numbers
25(8)
Subtraction of Real Numbers
33(8)
Multiplication of Real Numbers
41(8)
Division of Real Numbers
49(10)
Numbers in the Real World: The Magic Number in Sports
54(5)
Properties of Addition and Multiplication
59(12)
Numbers in the Real World: Calendar Mathematics: A Perpetual Calendar Algorithm
66(5)
Simplifying Expressions
71(18)
Summary
77(4)
Review Exercises
81(6)
Test
87(2)
Linear Equations and Applications
89(62)
The Addition Property of Equality
89(6)
The Multiplication Property of Equality
95(6)
More on Solving Linear Equations
101(8)
An Introduction to Applied Problems
109(10)
Numbers in the Real World: Just How is Windchill Factor Determined?
114(5)
Formulas and Geometry Applications
119(10)
Ratio and Proportion: Percent
129(22)
Numbers in the Real World: The Changing Face of the United States
134(5)
Summary
139(3)
Numbers in the Real World: Calendar Mathematics: Number Patterns
142(1)
Review Exercises
143(4)
Test
147(2)
Cumulative Review Exercises Chapters 1--2
149(2)
Linear Inequalities and Absolute Value
151(42)
Linear Inequalities in One Variable
151(10)
Set Operations and Compound Inequalities
161(8)
Absolute Value Equations and Inequalities
169(24)
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities
181(2)
Summary
183(2)
Review Exercises
185(4)
Test
189(2)
Cumulative Review Exercises Chapters 1--3
191(2)
Linear Equations and Inequalities in Two Variables; Functions
193(82)
The Rectangular Coordinate System
193(10)
The Slope of a Line
203(12)
Linear Equations in Two Variables
215(14)
Linear Inequalities in Two Variables
229(10)
Numbers in the Real World: A Graphing Calculator Minicourse Lesson 1: Solution of Linear Equations
234(5)
An Introduction to Functions
239(14)
Numbers in the Real World: A Graphing Calculator Minicourse Lesson 2: Solution of Linear Inequalities
246(7)
An Application of Functions: Variation
253(22)
Numbers in the Real World: A Graphing Calculator Minicourse Lesson 3: Tables
258(5)
Summary
263(4)
Review Exercises
267(4)
Test
271(2)
Cumulative Review Exercises Chapters 1--4
273(2)
Systems of Linear Equations
275(76)
Solving Systems of Linear Equations by Graphing
275(8)
Solving Systems of Linear Equations by Addition
283(10)
Solving Systems of Linear Equations by Substitution
293(8)
Linear Systems of Equations in Three Variables
301(10)
Numbers in the Real World: A Graphing Calculator Minicourse Lesson 4: Solving a Linear System of Equations
306(5)
Applications of Linear Systems
311(12)
Determinants
323(8)
Solution of Linear Systems of Equations by Determinants---Cramer's Rule
331(20)
Summary
337(4)
Review Exercises
341(6)
Test
347(2)
Cumulative Review Exercises Chapters 1--5
349(2)
Exponents and Polymials
351(62)
The Product Rule and Power Rules for Exponents
351(8)
Numbers in the Real World: Do You Have the Knack for Percent?
356(3)
Integer Exponents and the Quotient Rule
359(8)
An Application of Exponents: Scientific Notation
367(4)
Addition and Subtraction of Polynomials
371(10)
Multiplication of Polynomials
381(6)
Products of Binomials
387(6)
Division of a Polynomial by a Monomial
393(4)
The Quotient of Two Polynomials
397(16)
Summary
403(2)
Review Exercises
405(4)
Test
409(2)
Cumulative Review Exercises Chapters 1--6
411(2)
Factoring
413(58)
Factors; The Greatest Common Factor
413(8)
Numbers in the Real World: Number Patterns in Our World
418(3)
Factoring Trinomials
421(6)
Numbers in the Real World: Using Number Properties in Identification
424(3)
More on Factoring Trinomials
427(8)
Numbers in the Real World: The Influence of Spanish Coinage on Stock Prices
432(3)
Special Factorizations
435(8)
Summary Exercises on Factoring
441(2)
Solving Quadratic Equations by Factoring
443(8)
Numbers in the Real World: Using Computers to Break Codes
448(3)
Applications of Quadratic Equations
451(20)
Summary
459(2)
Review Exercises
461(6)
Test
467(2)
Cumulative Review Exercises Chapters 1--7
469(2)
Rational Expressions
471(70)
The Fundamental Property of Rational Expressions
471(8)
Numbers in the Real World: The Dangers of Ultraviolet Rays
476(3)
Multiplication and Division of Rational Expressions
479(6)
Least Common Denominators
485(6)
Numbers in the Real World: Statistics Require Careful Interpretation
488(3)
Addition and Subtraction of Rational Expressions
491(8)
Numbers in the Real World: Number Magic
496(3)
Complex Fractions
499(6)
Equations Involving Rational Expressions
505(10)
Numbers in the Real World: Geometry in Our World
510(3)
Summary Exercises on Rational Expressions
513(2)
Applications of Rational Expressions
515(26)
Numbers in the Real World: Big Numbers in Our World (and Others)...And Just How Big Is a Googol?
522(5)
Summary
527(4)
Review Exercises
531(4)
Test
535(2)
Cumulative Review Exercises Chapters 1--8
537(4)
Roots and Radicals
541(70)
Finding Roots
541(10)
Multiplication and Division of Radicals
551(8)
Addition and Subtraction of Radicals
559(4)
Rationalizing the Denominator
563(6)
Simplifying Radical Expressions
569(8)
Equations with Radicals
577(10)
Numbers in the Real World: Are You a Good ``Guesstimator''?
582(5)
Complex Numbers
587(24)
Summary
597(4)
Review Exercises
601(6)
Test
607(2)
Cumulative Review Exercises Chapters 1--9
609(2)
Quadratic Equations and Inequalities
611(70)
Solving Quadratic Equations by the Square Root Property
611(6)
Numbers in the Real World: A Mathematical Model of the Spread of AIDS
614(3)
Solving Quadratic Equations by Completing the Square
617(8)
Solving Quadratic Equations by the Quadratic Formula
625(12)
Summary Exercises on Quadratic Equations
635(2)
Equations Quadratic in Form
637(10)
Formulas and Applications Involving Quadratic Equations
647(8)
Nonlinear and Fractional Inequalities
655(26)
Summary
665(4)
Review Exercises
669(6)
Test
675(2)
Cumulative Review Exercises Chapters 1--10
677(4)
Graphs of Nonlinear Functions and Conic Sections
681(80)
Graphs of Quadratic Functions; Vertical Parabolas
681(10)
More about Quadratic Functions; Horizontal Parabolas
691(12)
Graphs of Elementary Functions and Circles
703(10)
Ellipses and Hyperbolas
713(12)
Numbers in the Real World: A Graphing Calculator Minicourse Lesson 5: Matrices
720(5)
Nonlinear Systems of Equations
725(8)
Second-Degree Inequalities; Systems of Inequalities
733(28)
Numbers in the Real World: A Graphing Calculator Minicourse Lesson 6: Solution of quadratic Equations and Inequalities
736(7)
Summary
743(4)
Review Exercises
747(6)
Test
753(4)
Cumulative Review Exercises Chapters 1--11
757(4)
Exponential and Logarithmic Functions
761
Inverse Functions
761(10)
Exponential Functions
771(8)
Numbers in the Real World: A Graphing Calculator Minicourse Lesson 7: Solving a Nonlinear System of Equations
776(3)
Logarithmic Functions
779(8)
Properties of Logarithms
787(6)
Evaluating Logarithms
793(8)
Exponential and Logarithmic Equations and Their Applications
801(8)
Numbers in the Real World: A Graphing Calculator Minicourse Lesson 8: Inverse Functions
806(5)
Summary
811(3)
Numbers in the Real World: A Graphing Calculator Minicourse Lesson 9: Solution of Exponential and Logarithmic Equations
814(1)
Review Exercises
815(4)
Test
819(4)
Cumulative Review Exercises Chapters 1--12
823
Answers to Selected ExercisesA-1
Index1-1
Video Correlation Guide1-11

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