Basic Mathematics for College Students

by Tussy, Alan S.; Gustafson, R. David

• ISBN13: 9780534364939
• ISBN10: 0534364934
• Format: Paperback
• Copyright: 1999-01-15
• Publisher: Brooks Cole

Summary

Tussy and Gustafson's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. In this thorough review of arithmetic and geometry, the authors also introduce the fundamental algebraic concepts needed by students who intend to take an introductory algebra course. Tussy and Gustafson build the strong mathematical foundation necessary to give students confidence to apply their newly acquired skills in further mathematics courses, at home or on the job.

Table of Contents

1 Whole Numbers	1	(58)
1.1 Whole Numbers, Place Value, and Rounding	2	(9)
1.2 Adding and Subtracting Whole Numbers	11	(11)
1.3 Multiplying and Dividing Whole Numbers	22	(15)
Estimation: Whole Number	35	(2)
1.4 Prime Factors and Exponents	37	(8)
1.5 Order of Operations	45	(7)
Key Concept: Order of Operations	52	(1)
Chapter Review	53	(4)
Chapter Test	57	(2)
2 The Integers	59	(58)
2.1 An Introduction to the Integers	60	(11)
2.2 Addition of Integers	71	(8)
2.3 Subtraction of Integers	79	(8)
2.4 Multiplication of Integers	87	(9)
2.5 Division of Integers	96	(5)
2.6 Order of Operations and Estimation	101	(16)
Key Concept: Signed Numbers	108	(1)
Chapter Review	109	(4)
Chapter Test	113	(2)
Cumulative Review Exercises	115	(2)
3 Fractions and Mixed Numbers	117	(68)
3.1 The Fundamental Property of Fractions	118	(8)
3.2 Multiplying Fractions	126	(9)
3.3 Dividing Fractions	135	(6)
3.4 Adding and Subtracting Fractions	141	(10)
3.5 Multiplying and Dividing Mixed Numbers	151	(8)
3.6 Adding and Subtracting Mixed Numbers	159	(8)
3.7 Order of Operations and Complex Fractions	167	(9)
Key Concept: The Fundamental Property of Fractions	176	(1)
Chapter Review	177	(6)
Chapter Test	183	(2)
4 Decimals	185	(58)
4.1 An Introduction to Decimals	186	(8)
4.2 Addition and Subtraction with Decimals	194	(8)
4.3 Multiplication with Decimals	202	(7)
4.4 Division with Decimals	209	(9)
Estimation: Decimals	214	(4)
4.5 Fractions and Decimals	218	(8)
4.6 Square Roots	226	(7)
Key Concept: The Real Numbers	233	(1)
Chapter Review	234	(5)
Chapter Test	239	(2)
Cumulative Review Exercises	241	(2)
5 Percent	243	(44)
5.1 Percents, Decimals, and Fractions	244	(8)
5.2 Solving Percent Problems	252	(9)
5.3 Applications of Percent	261	(10)
Estimation: Percent	269	(2)
5.4 Interest	271	(8)
Key Concept: Percent	279	(1)
Chapter Review	280	(5)
Chapter Test	285	(2)
6 Ratio, Proportion, and Measurement	287	(48)
6.1 Ratio	288	(6)
6.2 Proportion	294	(7)
6.3 American Units of Measurement	301	(9)
6.4 Metric Units of Measurement	310	(8)
6.5 Converting between American and Metric Units	318	(7)
Key Concept: Proportions	325	(1)
Chapter Review	326	(5)
Chapter Test	331	(2)
Cumulative Review Exercises	333	(2)
7 Descriptive Statistics	335	(24)
7.1 Reading Graphs and Tables	336	(12)
7.2 Mean, Median, and Mode	348	(5)
Key Concept: Mean, Median, and Mode	353	(1)
Chapter Review	354	(3)
Chapter Test	357	(2)
8 An Introduction to Algebra	359	(64)
8.1 Solving Equations by Addition and Subtraction	360	(8)
8.2 Solving Equations by Division and Multiplication	368	(7)
8.3 Algebraic Expressions and Formulas	375	(11)
8.4 Simplifying Algebraic Expressions and the Distributive Property	386	(6)
8.5 Combining Like Terms	392	(8)
8.6 Simplifying Expressions to Solve Equations	400	(5)
8.7 Exponents	405	(8)
Key Concept: Variables	413	(1)
Chapter Review	414	(5)
Chapter Test	419	(2)
Cumulative Review Exercises	421	(2)
9 Introduction to Geometry	423
9.1 Some Basic Definitions	424	(9)
9.2 Parallel and Perpendicular Lines	433	(6)
9.3 Polygons	439	(6)
9.4 Properties of Triangles	445	(9)
9.5 Perimeters and Areas of Polygons	454	(11)
9.6 Circles	465	(7)
9.7 Surface Area and Volume	472	(10)
Key Concept: Formulas	482	(1)
Chapter Review	483	(8)
Chapter Test	491	(2)
Cumulative Review Exercises	493
APPENDIX I Powers and Roots	A-1
APPENDIX II Answers to Selected Exercises	A-2
Index	I-1