Introductory Algebra for College Students

by Blitzer, Robert F.

• ISBN13: 9780130328397
• ISBN10: 0130328391
• Edition: 3rd
• Format: Hardcover
• Copyright: 2002-01-01
• Publisher: Pearson College Div

Summary

The goal of this series is to provide readers with a strong foundation in Algebra. Each book is designed to develop readers' critical thinking and problem-solving capabilities and prepare readers for subsequent Algebra courses as well as “service” math courses. Topics are presented in an interesting and inviting format, incorporating real world sourced data and encouraging modeling and problem-solving. The Real Number System. Linear Equations and Inequalities in One Variable. Problem Solving. Linear Equations and Inequalities in Two Variables. Systems of Linear Equations and Inequalities. Exponents and Polynomials. Factoring Polynomials. Rational Expressions. Roots and Radicals. Quadratic Equations and Functions. For anyone interested in introductory and intermediate algebra and for the combined introductory and intermediate algebra.

Table of Contents

Preface	ix
To the Student	xvii
About the Author	xix
Applications Index	xxv
The Real Number System	3	(98)
Fractions	4	(10)
The Real Numbers	14	(11)
Ordered Pairs and Graphs	25	(10)
Basic Rules of Algebra	35	(12)
Addition of Real Numbers	47	(8)
Subtraction of Real Numbers	55	(8)
Multiplication and Division of Real Numbers	63	(12)
Exponents, Order of Operations, and Mathematical Models	75	(26)
Group Projects	89	(1)
Summary	90	(4)
Review Exercises	94	(3)
Test	97	(4)
Linear Equations and Inequalities in One Variable	101	(68)
The Addition Property of Equality	102	(8)
The Multiplication Property of Equality	110	(8)
Solving Linear Equations	118	(8)
Formulas and Percents	126	(9)
An Introduction to Problem Solving	135	(12)
Solving Linear Inequalities	147	(22)
Group Projects	160	(1)
Summary	161	(4)
Review Exercises	165	(1)
Test	166	(1)
Cumulative Review Exercises (Chapters 1-2)	167	(2)
Problem Solving	169	(42)
Further Problem Solving	170	(11)
Ratio and Proportion	181	(8)
Problem Solving in Geometry	189	(22)
Group Projects	201	(1)
Summary	202	(3)
Review Exercises	205	(2)
Test	207	(1)
Cumulative Review Exercises (Chapters 1-3)	208	(3)
Linear Equations and Inequalities in Two Variables	211	(64)
Graphing Linear Equations	212	(12)
Graphing Linear Equations Using Intercepts	224	(10)
Slope	234	(9)
The Slope-Intercept Form of the Equation of a Line	243	(8)
The Point-Slope Form of the Equation of a Line	251	(7)
Linear Inequalities in Two Variables	258	(17)
Group Projects	265	(1)
Summary	266	(3)
Review Exercises	269	(3)
Test	272	(1)
Cumulative Review Exercises (Chapters 1-4)	273	(2)
Systems of Linear Equations and Inequalities	275	(48)
Solving Systems of Linear Equations by Graphing	276	(9)
Solving Systems of Linear Equations by the Substitution Method	285	(7)
Solving Systems of Linear Equations by the Addition Method	292	(8)
Problem Solving Using Systems of Equations	300	(11)
Systems of Linear Inequalities	311	(12)
Group Projects	316	(1)
Summary	317	(2)
Review Exercises	319	(1)
Test	320	(1)
Cumulative Review Exercises (Chapters 1-5)	321	(2)
Exponents and Polynomials	323	(74)
Adding and Subtracting Polynomials	324	(8)
Multiplying Polynomials	332	(11)
Special Products	343	(9)
Polynomials in Several Variables	352	(8)
Dividing Polynomials	360	(8)
Dividing Polynomials by Binomials	368	(8)
Negative Exponents and Scientific Notation	376	(21)
Group Projects	388	(1)
Summary	389	(3)
Review Exercises	392	(2)
Test	394	(1)
Cumulative Review Exercises (Chapters 1-6)	395	(2)
Factoring Polynomials	397	(58)
The Greatest Common Factor and Factoring by Grouping	398	(8)
Factoring Trinomials Whose Leading Coefficient Is One	406	(7)
Factoring Trinomials Whose Leading Coefficient Is Not One	413	(7)
Factoring Special Forms	420	(7)
A General Factoring Strategy	427	(8)
Solving Quadratic Equations by Factoring	435	(20)
Group Projects	447	(1)
Summary	448	(2)
Review Exercises	450	(2)
Test	452	(1)
Cumulative Review Exercises (Chapters 1-7)	452	(3)
Rational Expressions	455	(78)
Rational Expressions and Their Simplification	456	(9)
Multiplying and Dividing Rational Expressions	465	(7)
Adding and Subtracting Rational Expressions with the Same Denominator	472	(8)
Adding and Subtracting Rational Expressions with Different Denominators	480	(11)
Complex Rational Expressions	491	(7)
Solving Rational Equations	498	(9)
Applications Using Rational Equations and Variation	507	(26)
Group Projects	523	(1)
Summary	524	(5)
Review Exercises	529	(1)
Test	530	(1)
Cumulative Review Exercises (Chapters 1-8)	531	(2)
Roots and Radicals	533	(50)
Finding Roots	534	(8)
Multiplying and Dividing Radicals	542	(9)
Operations with Radicals	551	(5)
Rationalizing the Denominator	556	(7)
Radical Equations	563	(7)
Rational Exponents	570	(13)
Group Projects	576	(1)
Summary	577	(2)
Review Exercises	579	(1)
Test	580	(1)
Cumulative Review Exercises (Chapters 1-9)	581	(2)
Quadratic Equations and Functions	583	(1)
Solving Quadratic Equations by the Square Root Property	584	(8)
Solving Quadratic Equations by Completing the Square	592	(5)
The Quadratic Formula	597	(9)
Imaginary Numbers as Solutions of Quadratic Equations	606	(5)
Graphs of Quadratic Equations	611	(10)
Introduction to Functions	621	(11)
Group Projects	631	(1)
Summary	632	(3)
Review Exercises	635	(2)
Test	637	(1)
Cumulative Review Exercises Covering the Entire Book	638
Answers to Selected Exercises	1	(1)
Subject Index	1	(1)
Photo Credits	1