Elementary And Intermediate Algebra

by Woodbury, George

• ISBN13: 9780321166401
• ISBN10: 032116640X
• Format: Hardcover
• Copyright: 2009-01-01
• Publisher: Addison Wesley

Summary

Students will get more out of Elementary and Intermediate Algebra through George Woodbury's concise narrative and focused topic flow. By writing this text from the ground up as a single textbook, George has reduced the amount of overlap typically found in these courses and focused instead on providing more exercises and applications. As a result, your students will be better prepared for higher-level mathematics courses.

Table of Contents

Preface	xi
Review of Real Numbers	1	(64)
Integers, Opposites, and Absolute Value	2	(5)
Operations with Integers	7	(9)
Fractions	16	(5)
Operations with Fractions	21	(7)
Decimals and Percents	28	(7)
Representing Data Graphically	35	(10)
Exponents and Order of Operations	45	(5)
Introduction to Algebra	50	(15)
Linear Equations	65	(62)
Introduction to Linear Equations	66	(9)
Solving Linear Equations: A General Strategy	75	(10)
Problem Solving; Applications of Linear Equations	85	(13)
Applications Involving Percents; Ratio and Proportion	98	(11)
Linear Inequalities	109	(18)
Graphing Linear Equations	127	(94)
The Rectangular Coordinate System; Equations in Two Variables	128	(11)
Graphing Linear Equations and Their Intercepts	139	(14)
Slope of a Line	153	(17)
Linear Functions	170	(12)
Parallel and Perpendicular Lines	182	(8)
Equations of Lines	190	(10)
Linear Inequalities	200	(21)
Systems of Equations	221	(62)
Systems of Linear Equations; Solving Systems Graphically	222	(10)
The Substitution Method for Solving Systems of Equations	232	(9)
Solving Systems of Equations by the Addition Method	241	(10)
Applications of Systems of Equations	251	(12)
Systems of Linear Inequalities	263	(20)
Exponents and Polynomials	283	(48)
Exponents	284	(9)
Negative Exponents; Scientific Notation	293	(10)
Polynomials; Addition and Subtraction of Polynomials	303	(7)
Multiplying Polynomials	310	(7)
Division of Polynomials	317	(14)
Factoring and Quadratic Equations	331	(62)
An Introduction to Factoring; The Greatest Common Factor; Factoring by Grouping	332	(7)
Factoring Trinomials of the Form x2 + bx + c	339	(7)
Factoring Trinomials of the Form ax2 + bx + c	346	(6)
Factoring Special Binomials	352	(7)
Factoring Polynomials: A General Strategy	359	(5)
Solving Quadratic Equations by Factoring	364	(7)
Quadratic Functions	371	(7)
Applications of Quadratic Equations and Quadratic Functions	378	(15)
Rational Expressions and Equations	393	(67)
Rational Expressions and Functions	394	(9)
Multiplication and Division of Rational Expressions	403	(8)
Addition and Subtraction of Rational Expressions with the Same Denominator	411	(7)
Addition and Subtraction of Rational Expressions with Unlike Denominators	418	(7)
Complex Fractions	425	(6)
Rational Equations	431	(7)
Applications of Rational Equations	438	(22)
A Transition	460	(60)
Linear Equations and Absolute Value Equations	461	(7)
Linear Inequalities and Absolute Value Inequalities	468	(10)
Graphing Linear Equations and Linear Functions; Graphing Absolute Value Functions	478	(15)
Review of Factoring; Quadratic Equations and Rational Equations	493	(8)
Systems of Equations (Two Equations in Two Unknowns, Three Equations in Three Unknowns)	501	(19)
Radical Expressions and Equations	520	(61)
Square Roots; Radical Notation	521	(9)
Rational Exponents	530	(6)
Simplifying Radical Expressions; Adding and Subtracting Radical Expressions	536	(6)
Multiplication and Division of Radical Expressions	542	(11)
Radical Equations	553	(7)
Applications of Radical Equations	560	(4)
The Complex Numbers	564	(17)
Quadratic Equations	581	(70)
Solving Quadratic Equations by Extracting Square Roots; Completing the Square	582	(8)
The Quadratic Formula	590	(9)
Applications Using Quadratic Equations	599	(9)
Equations that are Quadratic in Form	608	(8)
Graphing Quadratic Equations and Quadratic Functions	616	(13)
Quadratic and Rational Inequalities	629	(22)
Functions	651	(98)
Review of Functions	652	(13)
Linear Functions	665	(11)
Quadratic Functions	676	(16)
Other Functions and Their Graphs	692	(15)
The Algebra of Functions	707	(13)
Inverse Functions	720	(29)
Logarithmic and Exponential Functions	749	(84)
Exponential Functions	750	(15)
Logarithmic Functions	765	(16)
Properties of Logarithms	781	(10)
Exponential and Logarithmic Equations	791	(11)
Applications of Exponential and Logarithmic Functions	802	(13)
Graphing Exponential and Logarithmic Functions	815	(18)
Conic Sections	833	(88)
Parabolas	834	(16)
Circles	850	(16)
Ellipses	866	(15)
Hyperbolas	881	(21)
Nonlinear Systems of Equations	902	(19)
Sequences, Series, and the Binomial Theorem	921
Sequences and Series	922	(7)
Arithmetic Sequences and Series	929	(7)
Geometric Sequences and Series	936	(9)
The Binomial Theorem	945
Appendix A Using Matrices to Solve Systems of Equations	1	(4)
Appendix B Synthetic Division	5
Answers to Selected Exercises	1	(1)
Photo Acknowledgments	1	(1)
Index of Applications	1	(3)
Index	4