Basic College Mathematics

by Martin-Gay, K. Elayn

• ISBN13: 9780130676993
• ISBN10: 0130676993
• Edition: 2nd
• Format: Paperback
• Copyright: 2003-01-01
• Publisher: Pearson College Div

Summary

The engaging Martin-Gay workbook series presents a user-friendly approach to the concepts of basic math and algebra, giving readers ample opportunity to practice skills and see how those skills relate to both their lives and the real world. The goals of the workbooks are to build confidence, increase motivation, and encourage mastery of basic skills and concepts. Martin-Gay enhances readers' perception of math by exposing them to real-life situations through graphs and applications and ensures that readers have an organized, integrated learning system at their fingertips. The integrated learning resources program features book-specific supplements including Martin-Gay's acclaimed tutorial videotapes, CD videos, and MathPro 5. This book covers topics such as multiplying and dividing fractions, decimals, ratios and proportion, percent, geometry, statistics and probability, as well as an introduction to algebra. For anyone who wishing to brush up on their basic mathematical skills.

Table of Contents

Preface	ix
Index of Applications	xviii
The Whole Numbers	1	(100)
Pretest	2	(1)
Tips for Success in Mathematics	3	(6)
Place Value and Names for Numbers	9	(8)
Adding Whole Numbers	17	(10)
Subtracting Whole Numbers	27	(12)
Rounding and Estimating	39	(8)
Multiplying Whole Numbers	47	(10)
Dividing Whole Numbers	57	(14)
Integrated Review-Operations on Whole Numbers	69	(2)
An Introduction to Problem Solving	71	(10)
Exponents and Order of Operations	81	(20)
Activity: Investigating Endangered and Threatened Species	88	(1)
Vocabulary Check	89	(1)
Highlights	89	(4)
Review	93	(6)
Test	99	(2)
Multiplying and Dividing Fractions	101	(60)
Pretest	102	(1)
Introduction to Fractions and Mixed Numbers	103	(12)
Factors and Prime Factorization	115	(6)
Simplest Form of a Fraction	121	(10)
Integrated Review-Summary on Fractions, Mixed Numbers, and Factors	129	(2)
Multiplying Fractions	131	(10)
Dividing Fractions	141	(20)
Activity: Comparing Fractions	148	(1)
Vocabulary Check	149	(1)
Highlights	149	(4)
Review	153	(4)
Test	157	(2)
Cumulative Review	159	(2)
Adding and Subtracting Fractions	161	(64)
Pretest	162	(1)
Adding and Subtracting Like Fraction	163	(8)
Least Common Multiple	171	(6)
Adding and Subtracting Unlike Fractions	177	(10)
Integrated Review-Operations on Fractions	185	(2)
Adding and Subtracting Mixed Numbers	187	(10)
Order, Exponents, and the Order of Operations	197	(6)
Fractions and Problem Solving	203	(22)
Activity: Using Fractions	212	(1)
Vocabulary Check	213	(1)
Highlights	213	(4)
Review	217	(4)
Test	221	(2)
Cumulative Review	223	(2)
Decimals	225	(70)
Pretest	226	(1)
Introduction to Decimals	227	(6)
Order and Rounding	233	(8)
Adding and Subtracting Decimals	241	(8)
Multiplying Decimals	249	(8)
Dividing Decimals	257	(10)
Integrated Review-Operation on Decimals	265	(2)
Estimating and Order of Operations	267	(8)
Fractions and Decimals	275	(20)
Activity: Maintaining a Checking Account	282	(1)
Vocabulary Check	283	(1)
Highlights	283	(4)
Review	287	(4)
Test	291	(2)
Cumulative Review	293	(2)
Ratio and Proportion	295	(40)
Pretest	296	(1)
Ratios	297	(6)
Rates	303	(8)
Integrated Review-Ratio and Rate	309	(2)
Proportions	311	(6)
Proportions and Problem Solving	317	(18)
Activity: Investigating Scale Drawings	324	(1)
Vocabulary Check	325	(1)
Highlights	325	(2)
Review	327	(4)
Test	331	(2)
Cumulative Review	333	(2)
Percent	335	(68)
Pretest	336	(1)
Introduction to Percent	337	(8)
Percents and Fractions	345	(8)
Solving Percent Problems Using Equations	353	(6)
Solving Percent Problems Using Proportions	359	(8)
Integrated Review-Percent and Percent Problems	365	(2)
Applications of Percent	367	(8)
Percent and Problem Solving: Sales Tax, Commission, and Discount	375	(8)
Percent and Problem Solving: Interest	383	(20)
Activity: Compound Interest Table	390	(1)
Vocabulary Check	391	(1)
Highlights	391	(4)
Review	395	(4)
Test	399	(2)
Cumulative Review	401	(2)
Measurement	403	(64)
Pretest	404	(1)
Length: U.S. and Metric Systems of Measurement	405	(14)
Weight and Mass: U.S. and Metric Systems of Measurement	419	(12)
Capacity: U.S. and Metric Systems of Measurement	431	(12)
Integrated Review-Length, Weight, and Capacity	441	(2)
Temperature: U.S. and Metric Systems of Measurement	443	(6)
Energy: U.S. and Metric Systems of Measurement	449	(18)
Activity: Map Reading	453	(2)
Vocabulary Check	455	(1)
Highlights	455	(4)
Review	459	(4)
Test	463	(2)
Cumulative Review	465	(2)
Geometry	467	(82)
Pretest	468	(1)
Lines and Angles	469	(10)
Plane Figures and Solids	479	(8)
Perimeter	487	(10)
Area	497	(10)
Volume	507	(10)
Integrated Review-Geometry Concepts	515	(2)
Square Roots and the Pythagorean Theorem	517	(8)
Congruent and Similar Triangles	525	(24)
Activity: Finding Patterns	532	(1)
Vocabulary Check	533	(1)
Highlights	533	(6)
Review	539	(6)
Test	545	(2)
Cumulative Review	547	(2)
Statistics and Probability	549	(60)
Pretest	550	(1)
Reading Pictographs, Bar Graphs, and Line Graphs	551	(12)
Reading Circle Graphs	563	(8)
Reading Histograms	571	(8)
Integrated Review-Reading Graphs	577	(2)
Mean, Median, and Mode	579	(6)
Counting and Introduction to Probability	585	(24)
Activity: Investigating Probability	592	(1)
Vocabulary Check	593	(1)
Highlights	593	(4)
Review	597	(6)
Test	603	(4)
Cumulative Review	607	(2)
Signed Numbers	609	(52)
Pretest	610	(1)
Signed Numbers	611	(6)
Adding Signed Numbers	617	(8)
Subtracting Signed Numbers	625	(10)
Integrated Review-signed Numbers	633	(2)
Multiplying and Dividing Signed Numbers	635	(8)
Order of Operations	643	(18)
Activity: Investigating Positive and Negative Numbers	649	(2)
Vocabulary Check	651	(1)
Highlights	651	(2)
Review	653	(4)
Test	657	(2)
Cumulative Review	659	(2)
Introduction to Algebra	661	(54)
Pretest	662	(1)
Introduction to Variables	663	(10)
Solving Equations: The Addition Property	673	(6)
Solving Equations: The Multiplication Property	679	(8)
Integrated Review-Expressions and Equations	685	(2)
Solving Equations Using Addition and Multiplication Properties	687	(8)
Equations and Problem Solving	695	(20)
Activity: Analyzing Options	702	(1)
Vocabulary Check	703	(1)
Highlights	703	(4)
Review	707	(4)
Test	711	(2)
Cumulative Review	713	(2)
Appendix A Addition Table and One Hundred Addition Facts	715	(2)
Appendix B Multiplication Table and One Hundred Multiplication Facts	717	(2)
Appendix C Review of Geometric Figures	719	(2)
Appendix D Table of Percents, Decimals, and Fraction Equivalents	721	(1)
Appendix E Table of Squares and Square Roots	722	(1)
Appendix F Compound Interest Table	723
Answers to Selected Exercises	1	(24)
Solutions to Selected Exercises	25
Index	1	(7)
Photo Credits	8

Excerpts

About This Book Basic College MathematicsSecond Edition was written to provide asolid foundationin the basics of college mathematics, including the topics of whole numbers, fractions, decimals, ratio, and proportion, percent, and measurement as well as introductions to geometry, statistics and probability, and algebra topics. Specific care was taken to ensure that students have the mostup-to-date relevanttext preparation for their next mathematics course or for nonmathematical courses that require an understanding of algebraic fundamentals. I have tried to achieve this by writing a user-friendly text that is keyed to objectives and contains many worked-out examples. As suggested by the AMATYC Crossroads Document and the NCTM Standards (plus Addenda), real-life and real-data applications, data interpretation, conceptual understanding, problem solving, writing, cooperative learning, appropriate use of technology, mental mathematics, number sense, critical thinking, and geometric concepts are emphasized and integrated throughout the book. The many factors that contributed to the success of the first edition have been retained. In preparing the Second Edition, I considered comments and suggestions of colleagues, students, and many users of the prior edition throughout the country. Basic College Mathematics,Second Edition is part of a series of texts that can includeIntroductory Algebra,Second Edition;Prealgebra,Third Edition;Intermediate Algebra,Second Edition; and a combined textAlgebra A Combined Approach,Second Edition. Throughout the series pedagogical features are designed to develop student proficiency in algebra and problem solving, and to prepare students for future courses.