Basic Mathematics for College Students

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

• ISBN13: 9780534376437
• ISBN10: 0534376436
• Edition: CD
• Format: Paperback
• Copyright: 2001-06-01
• Publisher: Cengage Learning

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

Whole Numbers	1	(68)
An Introduction to the Whole Numbers	2	(9)
Adding Whole Numbers	11	(8)
Subtracting Whole Numbers	19	(6)
Multiplying Whole Numbers	25	(10)
Dividing Whole Numbers	35	(10)
Estimation	43	(2)
Prime Factors and Exponents	45	(24)
Order of Operations	52	(8)
Key Concept: Order of Operations	60	(1)
Accent on Teamwork	61	(1)
Chapter Review	62	(4)
Taking a Math Test	66	(1)
Chapter Test	67	(2)
The Integers	69	(58)
An Introduction to the Integers	70	(10)
Addition of Integers	80	(9)
Subtraction of Integers	89	(7)
Multiplication of Integers	96	(8)
Division of Integers	104	(5)
Order of Operations and Estimation	109	(18)
Key Concept: Signed Numbers	116	(1)
Accent on Teamwork	117	(1)
Chapter Review	118	(5)
Chapter Test	123	(2)
Cumulative Review Exercises	125	(2)
Fractions and Mixed Numbers	127	(72)
The Fundamental Property of Fractions	128	(8)
Multiplying Fractions	136	(9)
Dividing Fractions	145	(6)
Adding and Subtracting Fractions	151	(12)
The LCM and the GCF	161	(2)
Multiplying and Dividing Mixed Numbers	163	(8)
Adding and Subtracting Mixed Numbers	171	(8)
Order of Operations and Complex Fractions	179	(20)
Key Concept: The Fundamental Property of Fractions	188	(1)
Accent on Teamwork	189	(1)
Chapter Review	190	(5)
Chapter Test	195	(2)
Cumulative Review Exercises	197	(2)
Decimals	199	(60)
An Introduction to Decimals	200	(9)
Addition and Subtraction with Decimals	209	(7)
Multiplication with Decimals	216	(8)
Division with Decimals	224	(10)
Estimation	232	(2)
Fractions and Decimals	234	(8)
Square Roots	242	(17)
Key Concept: The Real Numbers	248	(1)
Accent on Teamwork	249	(1)
Chapter Review	250	(5)
Chapter Test	255	(2)
Cumulative Review Exercises	257	(2)
Percent	259	(50)
Percents, Decimals, and Fractions	260	(9)
Solving Percent Problems	269	(10)
Applications of Percent	279	(11)
Estimation	288	(2)
Interest	290	(19)
Key Concept: Percent	298	(1)
Accent on Teamwork	299	(1)
Chapter Review	300	(5)
Chapter Test	305	(2)
Cumulative Review Exercises	307	(2)
Ratio, Proportion, and Measurement	309	(56)
Ratios	310	(8)
Proportions	318	(9)
American Units of Measurement	327	(10)
Metric Units of Measurement	337	(11)
Converting between American and Metric Units	348	(17)
Key Concept: Proportions	355	(1)
Accent on Teamwork	356	(1)
Chapter Review	357	(4)
Chapter Test	361	(2)
Cumulative Review Exercises	363	(2)
Descriptive Statistics	365	(28)
Reading Graphs and Tables	366	(11)
Mean, Median, and Mode	377	(16)
Key Concept: Mean, Median, and Mode	384	(1)
Accent on Teamwork	385	(1)
Chapter Review	386	(3)
Chapter Test	389	(2)
Cumulative Review Exercises	391	(2)
An Introduction to Algebra	393	(66)
Solving Equations by Addition and Subtraction	394	(8)
Solving Equations by Division and Multiplication	402	(8)
Algebraic Expressions and Formulas	410	(11)
Simplifying Algebraic Expressions and the Distributive Property	421	(5)
Combining Like Terms	426	(9)
Simplifying Expressions to Solve Equations	435	(5)
Exponents	440	(19)
Key Concept: Variables	447	(1)
Accent on Teamwork	448	(1)
Chapter Review	449	(6)
Chapter Test	455	(2)
Cumulative Review Exercises	457	(2)
An Introduction to Geometry	459
Some Basic Definitions	460	(9)
Parallel and Perpendicular Lines	469	(7)
Polygons	476	(7)
Properties of Triangles	483	(9)
Perimeters and Areas of Polygons	492	(12)
Circles	504	(8)
Surface Area and Volume	512
Key Concept: Formulas	523	(1)
Accent on Teamwork	524	(1)
Chapter Review	525	(8)
Chapter Test	533	(2)
Cumulative Review Exercises	535
Appendix I Polynomials	A-1
I.1 Introduction to Polynomials	A-1
I.2 Adding and Subtracting Polynomials	A-4
I.3 Multiplying Polynomials	A-10
Appendix II Inductive and Deductive Reasoning	A-15
Appendix III Roots and Powers	A-22
Appendix IV Answers to Selected Exercises	A-23
Index	I-1