Beginning Algebra With Applications

by AUFMANN

• ISBN13: 9780395746103
• ISBN10: 0395746108
• Edition: 4th
• Format: Paperback
• Copyright: 1995-11-16
• Publisher: Brooks Cole

Table of Contents

Preface	vii
Index of Applications	xvii
Real Numbers	1	(48)
Introduction to Integers	3	(7)
Operations with Integers	10	(12)
Rational Numbers	22	(12)
Exponents and the Order of Operations Agreement	34	(15)
Moving Averages	41	(1)
Inductive Reasoning	42	(1)
Chapter Summary	43	(2)
Chapter Review Exercises	45	(2)
Chapter Test	47	(2)
Variable Expressions	49	(36)
Evaluating Variable Expressions	51	(5)
Simplifying Variable Expressions	56	(11)
Translating Verbal Expressions into Variable Expressions	67	(18)
Applications of Patterns in Mathematics	77	(1)
Variables in Abstract Problems	78	(1)
Chapter Summary	79	(1)
Chapter Review Exercises	80	(2)
Chapter Test	82	(1)
Cumulative Review Exercises	83	(2)
Solving Equations and Inequalities	85	(48)
Introduction to Equations	87	(13)
General Equations	100	(13)
Inequalities	113	(20)
Measurements as Approximations	123	(1)
Counterexamples	124	(1)
Chapter Summary	125	(2)
Chapter Review Exercises	127	(2)
Chapter Test	129	(1)
Cumulative Review Exercises	130	(3)
Solving Equations and Inequalities: Applications	133	(66)
Translating Sentences into Equations	135	(7)
Integer, Coin, and Stamp Problems	142	(7)
Geometry Problems	149	(5)
Markup and Discount Problems	154	(6)
Investment Problems	160	(6)
Mixture Problems	166	(9)
Uniform Motion Problems	175	(6)
Inequalities	181	(18)
Angles Formed by Intersecting Lines	186	(4)
Diagramming Problems	190	(1)
Chapter Summary	191	(2)
Chapter Review Exercises	193	(2)
Chapter Test	195	(2)
Cumulative Review Exercises	197	(2)
Linear Equations and Inequalities	199	(66)
The Rectangular Coordinate System	201	(7)
Graphs of Straight Lines	208	(12)
Slopes of Straight Lines	220	(9)
Equations of Straight Lines	229	(6)
Functions	235	(11)
Graphing Linear Inequalities	246	(19)
Graphs of Motion	251	(1)
Deductive Reasoning	252	(3)
Chapter Summary	255	(2)
Chapter Review Exercises	257	(4)
Chapter Test	261	(2)
Cumulative Review Exercises	263	(2)
Systems of Linear Equations	265	(36)
Solving Systems of Linear Equations by Graphing	267	(5)
Solving Systems of Linear Equations by the Substitution Method	272	(6)
Solving Systems of Linear Equations by the Addition Method	278	(5)
Application Problems in Two Variables	283	(18)
Break-Even Analysis	291	(1)
Calculators	292	(2)
Chapter Summary	294	(1)
Chapter Review Exercises	295	(3)
Chapter Test	298	(1)
Cumulative Review Exercises	299	(2)
Polynomials	301	(40)
Addition and Subtraction of Polynomials	303	(4)
Multiplication of Monomials	307	(4)
Multiplication of Polynomials	311	(9)
Division of Polynomials	320	(21)
Pascal's Triangle	332	(1)
Dimensional Analysis	332	(2)
Chapter Summary	334	(2)
Chapter Review Exercises	336	(2)
Chapter Test	338	(1)
Cumulative Review Exercises	339	(2)
Factoring	341	(44)
Common Factors	343	(5)
Factoring Polynomials of the Form x2 + bx + c	348	(6)
Factoring Polynomials of the Form ax2 + bx + c	354	(9)
Special Factoring	363	(6)
Solving Equations	369	(16)
Prime and Composite Numbers	376	(2)
The Trial-and-Error Method	378	(1)
Chapter Summary	379	(1)
Chapter Review Exercises	380	(2)
Chapter Test	382	(1)
Cumulative Review Exercises	383	(2)
Algebraic Fractions	385	(58)
Multiplication and Division of Algebraic Fractions	387	(7)
Expressing Fractions in Terms of the Least Common Multiple (LCM)	394	(4)
Addition and Subtraction of Algebraic Fractions	398	(7)
Complex Fractions	405	(4)
Equations Containing Fractions	409	(9)
Literal Equations	418	(4)
Application Problems	422	(21)
Intensity of Illumination	431	(2)
Negations and If...then...Sentences	433	(2)
Chapter Summary	435	(2)
Chapter Review Exercises	437	(2)
Chapter Test	439	(2)
Cumulative Review Exercises	441	(2)
Radical Expressions	443	(38)
Introduction to Radical Expressions	445	(6)
Addition and Subtraction of Radical Expressions	451	(4)
Multiplication and Division of Radical Expressions	455	(6)
Solving Equations Containing Radical Expressions	461	(20)
Mean and Standard Deviation	470	(3)
Working Backward	473	(1)
Chapter Summary	474	(2)
Chapter Review Exercises	476	(2)
Chapter Test	478	(1)
Cumulative Review Exercises	479	(2)
Quadratic Equations	481	(40)
Solving Quadratic Equations by Factoring or by Taking Square Roots	483	(6)
Solving Quadratic Equations by Completing the Square	489	(6)
Solving Quadratic Equations by Using the Quadratic Formula	495	(6)
Graphing Quadratic Equations in Two Variables	501	(6)
Application Problems	507	(14)
Geometric Construction of Completing the Square	511	(1)
Focus in Problem Solving: Algebraic Manipulation and Graphing Techniques	512	(2)
Chapter Summary	514	(1)
Chapter Review Exercises	515	(3)
Chapter Test	518	(1)
Cumulative Review Exercises	519	(2)
Final Exam	521
Appendix: Guidelines for Using Graphing Calculators	A1
Solutions to Problems	A11
Answers to Odd-Numbered Exercises	A45
Glossary	A85
Index	I1