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Introductory Algebra for College Students,9780132757454
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Introductory Algebra for College Students

by Blitzer, Robert
Edition:
2nd
ISBN13:

9780132757454

ISBN10:
0132757451
Format:
Hardcover
Pub. Date:
9/1/1997
Publisher(s):
Prentice Hall
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Summary

A 4-color hardback book w/complete text-specific instructor and student print/enhanced media supplement package. AMATYC/NCTM Standards of Content and Pedagogy integrated in current, researched, real-world Applications, Technology Boxes, Discover For Yourself Boxes and extensively revised Exercise Sets. Early introduction and heavy emphasis on modeling demonstrates and utilizes the concepts of introductory algebra to help students solve problems as well as develop critical thinking skills. One-page Chapter Projects (which may be assigned as collaborative projects or extended applications) conclude each chapter and include references to related Web sites for further student exploration. The influence of mathematics in fine art and their relationships are explored in applications and chapter openers to help students visualize mathematical concepts and recognize the beauty in math.

Table of Contents

Preface ix(14)
To the Student xxiii
CHAPTER 1 The Real Number System
1(130)
1.1 Fractions
2(13)
1.2 The Real Numbers
15(13)
1.3 Graphing and Ordered Pairs
28(19)
1.4 Basic Rules of Algebra
47(12)
1.5 Addition of Real Numbers
59(10)
1.6 Subtraction of Real Numbers
69(9)
1.7 Multiplication of Real Numbers
78(14)
1.8 Exponents; Division of Real Numbers
92(12)
1.9 Order of Operations; Mathematical Models
104(12)
Chapter Project
116(2)
Summary
118(2)
Review Problems
120(7)
Chapter Test
127(4)
CHAPTER 2 Linear Equations and Inequalities in One Variable
131(90)
2.1 The Addition Property of Equality
132(11)
2.2 The Multiplication Property of Equality
143(12)
2.3 Solving Linear Equations
155(9)
2.4 Mathematical Models
164(12)
2.5 An Introduction to Problem Solving
176(22)
2.6 Solving Linear Inequalities
198(15)
Chapter Project
213(1)
Summary
214(1)
Review Problems
215(4)
Chapter Test
219(2)
CHAPTER 3 Problem Solving
221(58)
3.1 Strategies for Solving Problems
222(16)
3.2 Ratio and Proportion
238(15)
3.3 Geometry Problems
253(15)
Chapter Project
268(2)
Summary
270(1)
Review Problems
270(4)
Chapter Test
274(1)
Cumulative Review Problems (Chapters 1-3)
275(4)
CHAPTER 4 Linear Equations and Inequalities in Two Variables
279(80)
4.1 Graphing Linear Equations and Linear Functions
280(11)
4.2 More on Graphing Linear Equations
291(8)
4.3 Graphing Other Types of Equations and Functions
299(10)
4.4 Slope
309(13)
4.5 The Slope-Intercept Equation of a Line
322(8)
4.6 The Point-Slope Equation of a Line
330(8)
4.7 Graphing Linear Inequalities in Two Variables
338(9)
Chapter Project
347(2)
Summary
349(1)
Review Problems
349(5)
Chapter Test
354(1)
Cumulative Review Problems (Chapters 1-4)
355(4)
CHAPTER 5 Systems of Linear Equations and Inequalities
359(56)
5.1 Solving Systems of Linear Equations by Graphing
360(8)
5.2 Solving Systems of Linear Equations by the Addition (Elimination) Method
368(10)
5.3 Solving Systems of Linear Equations by the Substitution Method
378(8)
5.4 Problem Solving Using Systems of Equations
386(14)
5.5 Solving Systems of Inequalities
400(6)
Chapter Project
406(2)
Summary
408(1)
Review Problems
409(2)
Chapter Test
411(1)
Cumulative Review Problems (Chapters 1-5)
412(3)
CHAPTER 6 Exponents and Polynomials
415(80)
6.1 Adding and Subtracting Polynomials
416(11)
6.2 Multiplying Polynomials
427(10)
6.3 Special Products; Modeling with Polynomials
437(12)
6.4 Polynomials in Several Variables
449(8)
6.5 Dividing Polynomials
457(8)
6.6 Dividing Polynomials by Binomials
465(7)
6.7 Negative Exponents and Scientific Notation
472(14)
Chapter Project
486(1)
Summary
487(1)
Review Problems
488(3)
Chapter Test
491(1)
Cumulative Review Problems (Chapters 1-6)
492(3)
CHAPTER 7 Factoring Polynomials
495(66)
7.1 Factoring Polynomials With Common Factors
496(8)
7.2 Factoring Trinomials Whose Leading Coefficient is 1
504(7)
7.3 Factoring Trinomials Whose Leading Coefficient is Not 1
511(9)
7.4 Factoring Special Forms
520(11)
7.5 A General Factoring Strategy
531(8)
7.6 Solving Quadratic Equations by Factoring
539(15)
Chapter Project
554(1)
Summary
555(1)
Review Problems
556(2)
Chapter Test
558(1)
Cumulative Review Problems (Chapters 1-7)
559(2)
CHAPTER 8 Rational Expressions
561(78)
8.1 Rational Expressions, Rational Functions, and Their Simplification
562(13)
8.2 Multiplying and Dividing Rational Expressions
575(9)
8.3 Adding and Subtracting Rational Expressions with the Same Denominator
584(7)
8.4 Adding and Subtracting Rational Expressions with Different Denominators
591(8)
8.5 Complex Fractions
599(8)
8.6 Solving Rational Equations
607(13)
8.7 Modeling With Rational Expressions
620(9)
Chapter Project
629(2)
Summary
631(1)
Review Problems
632(2)
Chapter Test
634(2)
Cumulative Review Problems (Chapters 1-8)
636(3)
CHAPTER 9 Roots and Radicals
639(56)
9.1 Finding Roots
640(7)
9.2 Multiplying and Dividing Radicals
647(10)
9.3 Operations With Radicals
657(7)
9.4 Rationalizing Denominators; Simplified Radical Form
664(9)
9.5 Equations Containing Radicals
673(8)
9.6 Fractional Exponents
681(5)
Chapter Project
686(2)
Summary
688(1)
Review Problems
689(1)
Chapter Test
690(1)
Cumulative Review Problems (Chapters 1-9)
691(4)
CHAPTER 10 Quadratic Equations and Functions
695(50)
10.1 Solving Quadratic Equations by the Square Root Property
696(7)
10.2 Solving Quadratic Equations by Completing the Square
703(7)
10.3 The Quadratic Formula
710(10)
10.4 Complex Numbers as Solutions of Quadratic Equations
720(5)
10.5 Quadratic Functions and Their Graphs
725(13)
Chapter Project
738(2)
Summary
740(1)
Review Problems
741(2)
Chapter Test
743(2)
APPENDIX Review Problems Covering the Entire Book 745
Answers to Selected Exercises AA1
Index I-1
Index of Applications Inside front cover
Definitions, Rules, and Formulas Inside back cover


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