Algebra for College Students

by Blitzer, Robert F.

• ISBN13: 9780131492646
• ISBN10: 0131492640
• Edition: 5th
• Format: Hardcover w/CD
• Copyright: 2009-01-01
• Publisher: Prentice Hall

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. Algebra and Problem Solving. Functions, Linear Functions, and Inequalities. Systems of Linear Equations and Inequalities. Polynomials, Polynomial Functions, and Factoring. Rational Expressions, Functions, and Equations. Radicals, Radical Functions, and Rational Exponents. Quadratic Equations and Functions. Exponential and Logarithmic Functions. Conic Sections and Nonlinear Systems of Equations. Sequences, Series, and the Binomial Theorem. For anyone interested in introductory and intermediate algebra and for the combined introductory and intermediate algebra.

Table of Contents

Preface	xi
To The Student	xix
About the Author	xxi
Algebra, Mathematical Models, and Problem Solving	1	(94)
Algebraic Expressions and Real Numbers	2	(11)
Operations with Real Numbers and Simplifying Algebraic Expressions	13	(15)
Graphing Equations	28	(11)
Solving Linear Equations	39	(12)
Mid-Chapter Check Point	51	(1)
Problem Solving and Using Formulas	51	(15)
Properties of Integral Exponents	66	(12)
Scientific Notation	78	(17)
Group Project	85	(1)
Summary	86	(5)
Review Exercises	91	(3)
Chapter Test	94	(1)
Functions and Linear Functions	95	(67)
Introduction to Functions	96	(16)
The Algebra of Functions	112	(11)
Mid-Chapter Check Point	122	(1)
Linear Functions and Slope	123	(18)
The Point-Slope Form of the Equation of a Line	141	(21)
Group Project	152	(1)
Summary	153	(3)
Review Exercises	156	(3)
Chapter Test	159	(1)
Cumulative Review Exercises (Chapters 1--2)	160	(2)
Systems of Linear Equations	162	(76)
Systems of Linear Equations in Two Variables	163	(15)
Problem Solving and Business Applications Using Systems of Equations	178	(15)
Systems of Linear Equations in Three Variables	193	(12)
Mid-Chapter Check Point	204	(1)
Matrix Solutions to Linear Systems	205	(12)
Determinants and Cramer's Rule	217	(21)
Group Project	227	(1)
Summary	228	(5)
Review Exercises	233	(2)
Chapter Test	235	(1)
Cumulative Review Exercises (Chapters 1--3)	236	(2)
Inequalities and Problem Solving	238	(59)
Solving Linear Inequalities	239	(14)
Compound Inequalities	253	(9)
Equations and Inequalities Involving Absolute Value	262	(9)
Mid-Chapter Check Point	270	(1)
Linear Inequalities in Two Variables	271	(11)
Linear Programming	282	(15)
Group Project	290	(1)
Summary	290	(3)
Review Exercises	293	(2)
Chapter Test	295	(1)
Cumulative Review Exercises (Chapters 1--4)	296	(1)
Polynomials, Polynomial Functions, and Factoring	297	(87)
Introduction to Polynomials and Polynomial Functions	298	(13)
Multiplication of Polynomials	311	(13)
Greatest Common Factors and Factoring by Grouping	324	(9)
Factoring Trinomials	333	(14)
Mid-Chapter Check Point	346	(1)
Factoring Special Forms	347	(9)
A General Factoring Strategy	356	(6)
Polynomial Equations and Their Applications	362	(22)
Group Project	375	(1)
Summary	376	(4)
Review Exercises	380	(2)
Chapter Test	382	(1)
Cumulative Review Exercises (Chapters 1--5)	383	(1)
Rational Expressions, Functions, and Equations	384	(95)
Rational Expressions and Functions: Multiplying and Dividing	385	(14)
Adding and Subtracting Rational Expressions	399	(12)
Complex Rational Expressions	411	(8)
Division of Polynomials	419	(9)
Mid-Chapter Check Point	427	(1)
Synthetic Division and the Remainder Theorem	428	(8)
Rational Equations	436	(9)
Formulas and Applications of Rational Equations	445	(13)
Modeling Using Variation	458	(21)
Group Project	469	(1)
Summary	470	(4)
Review Exercises	474	(3)
Chapter Test	477	(1)
Cumulative Review Exercises (Chapters 1--6)	478	(1)
Radicals, Radical Functions, and Rational Exponents	479	(80)
Radical Expressions and Functions	480	(12)
Rational Exponents	492	(12)
Multiplying and Simplifying Radical Expressions	504	(8)
Adding, Subtracting, and Dividing Radical Expressions	512	(8)
Mid-Chapter Check Point	519	(1)
Multiplying with More Than One Term and Rationalizing Denominators	520	(12)
Radical Equations	532	(10)
Complex Numbers	542	(17)
Group Project	551	(1)
Summary	551	(4)
Review Exercises	555	(2)
Chapter Test	557	(1)
Cumulative Review Exercises (Chapters 1--7)	558	(1)
Quadratic Equations and Functions	559	(77)
The Square Root Property and Completing the Square	560	(14)
The Quadratic Formula	574	(15)
Quadratic Functions and Their Graphs	589	(18)
Mid-Chapter Check Point	606	(1)
Equations Quadratic in Form	607	(7)
Polynomial and Rational Inequalities	614	(22)
Group Project	627	(1)
Summary	628	(4)
Review Exercises	632	(2)
Chapter Test	634	(1)
Cumulative Review Exercises (Chapters 1--8)	635	(1)
Exponential and Logarithmic Functions	636	(92)
Exponential Functions	637	(13)
Composite and Inverse Functions	650	(15)
Logarithmic Functions	665	(13)
Properties of Logarithms	678	(12)
Mid-Chapter Check Point	688	(2)
Exponential and Logarithmic Equations	690	(12)
Exponential Growth and Decay; Modeling Data	702	(26)
Group Project	716	(1)
Summary	716	(4)
Review Exercises	720	(5)
Chapter Test	725	(1)
Cumulative Review Exercises (Chapters 1--9)	726	(2)
Conic Sections and Systems of Nonlinear Equations	728	(63)
Distance and Midpoint Formulas; Circles	729	(10)
The Ellipse	739	(12)
The Hyperbola	751	(10)
Mid-Chapter Check Point	760	(1)
The Parabola; Identifying Conic Sections	761	(12)
Systems of Nonlinear Equations in Two Variables	773	(18)
Group Project	784	(1)
Summary	785	(2)
Review Exercises	787	(2)
Chapter Test	789	(1)
Cumulative Review Exercises (Chapters 1--10)	790	(1)
More on Polynomial and Rational Functions	791	(49)
Polynomial Functions and their Graphs	792	(13)
Zeros of Polynomial Functions	805	(13)
Mid-Chapter Check Point	818	(1)
Rational Functions and their Graphs	818	(22)
Group Project	833	(1)
Summary	834	(2)
Review Exercises	836	(2)
Chapter Test	838	(1)
Cumulative Review Exercises (Chapters 1--11)	839	(1)
Sequences, Induction, and Probability	840	(89)
Sequences and Summation Notation	841	(10)
Arithmetic Sequences	851	(10)
Geometric Sequences and Series	861	(16)
Mid-Chapter Check Point	876	(1)
The Binomial Theorem	877	(8)
Mathematical Induction	885	(8)
Counting Principles, Permutations, and Combinations	893	(12)
Probability	905	(24)
Group Project	919	(1)
Summary	920	(4)
Review Exercises	924	(2)
Chapter Test	926	(2)
Cumulative Review Exercises (Chapters 1--12)	928	(1)
Appendix Where Did That Come From? Selected Proofs	929
Answers to Selected Exercises	1	(1)
Applications Index	1	(1)
Subject Index	1	(1)
Photo Credits	1