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Introductory and Intermediate Algebra for College Students

ISBN: 9780131492592 | 0131492594
Edition: 2nd
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2006

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SummaryTable of Contents
Blitzer's mathematical rigor is combined with an engaging, friendly and often fun presentation for greater student appeal. Blitzer's exceptionally clear, accessible writing style combines the nuts and bolts students need with interesting and relevant examples.
Prefacexi
To the Studentxx
About the Authorxxii
The Real Number System
1(101)
... MORE
2(15)
The Real Numbers
17(11)
Ordered Pairs and Graphs
28(9)
Basic Rules of Algebra
37(14)
Mid-Chapter Check Point
49(2)
Addition of Real Numbers
51(8)
Subtraction of Real Numbers
59(7)
Multiplication and Division of Real Numbers
66(12)
Exponents, Order of Operations, and Mathematical Models
78(24)
Group Project
92(1)
Summary
92(5)
Review Exercises
97(3)
Chapter Test
100(2)
Linear Equations and Inequalities in One Variable
102(82)
The Addition Property of Equality
103(8)
The Multiplication Property of Equality
111(7)
Solving Linear Equations
118(8)
Formulas and Percents
126(12)
Mid-Chapter Check Point
137(1)
An Introduction to Problem Solving
138(11)
Problem Solving in Geometry
149(12)
Solving Linear Inequalities
161(23)
Group Project
173(1)
Summary
174(5)
Review Exercises
179(2)
Chapter Test
181(2)
Cumulative Review Exercises (Chapters 1--2)
183(1)
Linear Equations in Two Variables
184(61)
Graphing Equations in Two Variables
185(12)
Graphing Linear Equations Using Intercepts
197(11)
Slope
208(8)
The Slope-Intercept Form of the Equation of a Line
216(10)
Mid-Chapter Check Point
225(1)
The Point-Slope Form of the Equation of a Line
226(19)
Group Project
236(1)
Summary
236(4)
Review Exercises
240(2)
Chapter Test
242(2)
Cumulative Review Exercises (Chapters 1--3)
244(1)
Systems of Linear Equations
245(60)
Solving Systems of Linear Equations by Graphing
246(9)
Solving Systems of Linear Equations by the Substitution Method
255(8)
Solving Systems of Linear Equations by the Addition Method
263(8)
Mid-Chapter Check Point
271(1)
Problem Solving Using Systems of Equations
271(15)
Systems of Linear Equations in Three Variables
286(19)
Group Project
297(1)
Summary
298(3)
Review Exercises
301(2)
Chapter Test
303(1)
Cumulative Review Exercises (Chapters 1--4)
304(1)
Exponents and Polynomials
305(77)
Adding and Subtracting Polynomials
306(9)
Multiplying Polynomials
315(10)
Special Products
325(9)
Polynomials in Several Variables
334(8)
Mid-Chapter Check Point
341(1)
Dividing Polynomials
342(8)
Long Division of Polynomials; Synthetic Division
350(12)
Negative Exponents and Scientific Notation
362(20)
Group Project
375(1)
Summary
375(3)
Review Exercises
378(2)
Chapter Test
380(1)
Cumulative Review Exercises (Chapters 1--5)
381(1)
Factoring Polynomials
382(59)
The Greatest Common Factor and Factoring by Grouping
383(8)
Factoring Trinomials Whose Leading Coefficient Is One
391(8)
Factoring Trinomials Whose Leading Coefficient Is Not One
399(8)
Mid-Chapter Check Point
407(1)
Factoring Special Forms
407(7)
A General Factoring Strategy
414(9)
Solving Quadratic Equations by Factoring
423(18)
Group Project
435(1)
Summary
435(2)
Review Exercises
437(2)
Chapter Test
439(1)
Cumulative Review Exercises (Chapters 1--6)
440(1)
Rational Expressions
441(89)
Rational Expressions and Their Simplification
442(10)
Multiplying and Dividing Rational Expressions
452(6)
Adding and Subtracting Rational Expressions with the Same Denominator
458(8)
Adding and Subtracting Rational Expressions with Different Denominators
466(12)
Mid-Chapter Check Point
477(1)
Complex Rational Expressions
478(7)
Solving Rational Equations
485(10)
Applications Using Rational Equations and Proportions
495(12)
Modeling Using Variation
507(23)
Group Project
517(1)
Summary
518(5)
Review Exercises
523(3)
Chapter Test
526(1)
Cumulative Review Exercises (Chapters 1--7)
527(1)
Mid-Textbook Check Point
528(2)
Basics of Functions
530(48)
Introduction to Functions
531(15)
The Algebra of Functions
546(11)
Mid-Chapter Check Point
556(1)
Composite and Inverse Functions
557(21)
Group Project
571(1)
Summary
571(2)
Review Exercises
573(3)
Chapter Test
576(1)
Cumulative Review Exercises (Chapters 1--8)
576(2)
Inequalities and Problem Solving
578(59)
Interval Notation and Business Applications Using Linear Inequalities
579(13)
Compound Inequalities
592(9)
Equations and Inequalities Involving Absolute Value
601(9)
Mid-Chapter Check Point
609(1)
Linear Inequalities in Two Variables
610(11)
Linear Programming
621(16)
Group Project
629(1)
Summary
629(4)
Review Exercises
633(2)
Chapter Test
635(1)
Cumulative Review Exercises (Chapters 1--9)
636(1)
Radicals, Radical Functions, and Rational Exponents
637(80)
Radical Expressions and Functions
638(12)
Rational Exponents
650(12)
Multiplying and Simplifying Radical Expressions
662(8)
Adding, Subtracting, and Dividing Radical Expressions
670(8)
Mid-Chapter Check Point
677(1)
Multiplying with More Than One Term and Rationalizing Denominators
678(12)
Radical Equations
690(10)
Complex Numbers
700(17)
Group Project
709(1)
Summary
709(4)
Review Exercises
713(2)
Chapter Test
715(1)
Cumulative Review Exercises (Chapters 1--10)
716(1)
Quadratic Equations and Functions
717(81)
The Square Root Property and Completing the Square; Distance and Midpoint Formulas
718(17)
The Quadratic Formula
735(15)
Quadratic Functions and Their Graphs
750(18)
Mid-Chapter Check Point
767(1)
Equations Quadratic in Form
768(7)
Polynomial and Rational Inequalities
775(23)
Group Project
788(1)
Summary
789(4)
Review Exercises
793(3)
Chapter Test
796(1)
Cumulative Review Exercises (Chapters 1--11)
797(1)
Exponential and Logarithmic Functions
798(74)
Exponential Functions
799(13)
Logarithmic Functions
812(13)
Properties of Logarithms
825(11)
Mid-Chapter Check Point
835(1)
Exponential and Logarithmic Equations
836(12)
Exponential Growth and Decay; Modeling Data
848(24)
Group Project
862(1)
Summary
862(3)
Review Exercises
865(4)
Chapter Test
869(1)
Cumulative Review Exercises (Chapters 1--12)
870(2)
Conic Sections and Systems of Nonlinear Equations
872(61)
The Circle
873(7)
The Ellipse
880(12)
The Hyperbola
892(10)
Mid-Chapter Check Point
901(1)
The Parabola; Identifying Conic Sections
902(12)
Systems of Nonlinear Equations in Two Variables
914(19)
Group Project
925(1)
Summary
926(3)
Review Exercises
929(2)
Chapter Test
931(1)
Cumulative Review Exercises (Chapters 1--13)
931(2)
Sequences, Series, and Probability
933(81)
Sequences and Summation Notation
934(10)
Arithmetic Sequences
944(10)
Geometric Sequences and Series
954(16)
Mid-Chapter Check Point
969(1)
The Binomial Theorem
970(8)
Counting Principles, Permutations, and Combinations
978(12)
Probability
990(24)
Group Project
1004(1)
Summary
1005(4)
Review Exercises
1009(2)
Chapter Test
1011(2)
Cumulative Review Exercises (Chapters 1--14)
1013(1)
Appendix A Matrix Solutions to Linear Systems1014(10)
Appendix B Determinants and Cramer's Rule1024(10)
Appendix C Where Did That Come From? Selected Proofs1034
Answers to Selected Exercises1(1)
Applications Index1(1)
Subject Index1(1)
Photo Credits1

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