Intermediate Algebra

by LARSON

• ISBN13: 9780395876152
• ISBN10: 039587615X
• Edition: 2nd
• Format: Paperback
• Copyright: 1997-12-12
• Publisher: Brooks Cole

Table of Contents

Preface
Preface	vii
How To Study Algebra	xx
What Is Algebra?	xxii
Concepts of Elementary Algebra	1	(102)
Operations with Real Numbers	2	(16)
Properties of Real Numbers	18	(10)
Algebraic Expressions	28	(13)
Operations with Polynomials	41	(14)
Factoring Polynomials	55	(10)
Factoring Trinomials	65	(12)
Solving Linear Equations	77	(11)
Solving Equations by Factoring	88	(15)
Introduction to Graphs and Functions	103	(80)
Describing Data Graphically	104	(15)
Graphs of Equations	119	(13)
Slope: An Aid to Graphing Lines	132	(14)
Relations, Functions, and Function Notation	146	(12)
Graphs of Functions	158	(9)
Transformations of Functions	167	(16)
Linear Functions, Equations, and Inequalities	183	(82)
Writing Equations of Lines	184	(11)
Modeling Data with Linear Functions	195	(10)
Applications of Linear Equations	205	(16)
Business and Scientific Problems	221	(14)
Linear Inequalities in One Variable	235	(11)
Absolute Value Equations and Inequalities	246	(19)
Systems of Linear Equations and Inequalities	265	(82)
Systems of Linear Equations in Two Variables	266	(17)
Systems of Linear Equations in Three Variables	283	(13)
Matrices and Linear Systems	296	(13)
Determinants and Linear Systems	309	(12)
Graphs of Linear Inequalities in Two Variables	321	(7)
Systems of Inequalities and Linear Programming	328	(19)
Radicals and Complex Numbers	347	(60)
Integer Exponents and Scientific Notation	348	(9)
Rational Exponents and Radicals	357	(12)
Simplifying and Combining Radicals	369	(10)
Multiplying and Dividing Radicals	379	(6)
Solving Radical Equations	385	(8)
Complex Numbers	393	(14)
Quadratic Functions, Equations, and Inequalities	407	(70)
The Factoring and Square Root Methods	408	(12)
Completing the Square	420	(8)
The Quadratic Formula and the Discriminant	428	(8)
Applications of Quadratic Equations	436	(9)
Graphing Quadratic Functions	445	(11)
Modeling Data with Quadratic Functions	456	(6)
Quadratic Inequalities in One Variable	462	(15)
Rational Expressions and Rational Functions	477	(78)
Simplifying Rational Expressions	478	(11)
Multiplying and Dividing Rational Expressions	489	(8)
Adding and Subtracting Rational Expressions	497	(10)
Dividing Polynomials	507	(14)
Solving Rational Equations	521	(11)
Graphing Rational Functions	532	(10)
Rational Inequalities in One Variable	542	(13)
More About Functions and Relations	555	(88)
Combinations of Functions	556	(10)
Inverse Functions	566	(10)
Variation and Mathematical Models	576	(11)
Polynomial Functions and Their Graphs	587	(10)
Circles	597	(7)
Ellipses and Hyperbolas	604	(15)
Parabolas	619	(7)
Nonlinear Systems of Equations	626	(17)
Exponential and Logarithmic Functions and Equations	643	(68)
Exponential Functions and Their Graphs	644	(12)
Logarithmic Functions and Their Graphs	656	(12)
Properties of Logarithms	668	(9)
Solving Exponential and Logarithmic Equations	677	(10)
Exponential and Logarithmic Applications	687	(10)
Modeling Data	697	(14)
Topics in Discrete Mathematics	711
Sequences	712
Arithmetic Sequences	722
Geometric Sequences	731
The Binomial Theorem	742
Counting Principles	749
Probability	759
Appendices
Appendix A Introduction to Logic	A1
Appendix B Graphing Utilities	A22
Warm-Up Exercises	A39
Answers to Warm-Up Exercises	A51
Answers
Answers to Odd-Numbered Exercises	A61
Indices
Index of Applications	A131
Index	A137