Basic College Mathematics

by Tobey, John Jr; Slater, Jeffrey; Blair, Jamie

• ISBN13: 9780131490574
• ISBN10: 0131490575
• Edition: 5th
• Format: Paperback
• Copyright: 2009-01-01
• Publisher: Pearson College Div

Summary

This clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study and become effective and confident problem solvers. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present readers with opportunities to utilize critical thinking skills, analyze and interpret data, and problem solve using applied situations encountered in daily life. Chapter 7, Geometry, has been extensively revised and re-organized to include a new section 7.1 on angles and new section 7.4 devoted to triangles. Increased coverage of estimating with fractions and decimals with new ¿To Think About¿ exercises in Sections 2.5, 2.8, and 3.3 and a new lesson in Section 3.7. Coverage of fractions in Chapter 2 has been expanded as follows: Section 2.6 now begins with a discussion of least common multiples so that the subsequent coverage of least common denominators is more complete; a new lesson on order of operations in Section 2.8 offers readers additional review of these rules and practice applying them to fractions; and a new mid-chapter test on fractions appears after Section 2.5. Percent applications are now covered in two sections (Sections 5.4 and 5.5) to allow for a more patient presentation of this important topic.

Table of Contents

To the Student	i
Preface	xiii
Acknowledgments	xx
Diagnostic Pretest	xxiv
Whole Numbers	1	(108)
Understanding Whole Numbers	2	(11)
Adding Whole Numbers	13	(11)
Subtracting Whole Numbers	24	(12)
Multiplying Whole Numbers	36	(15)
Dividing Whole Numbers	51	(12)
How Am I Doing? Sections 1.1--1.5	62	(1)
Exponents and the Order of Operations	63	(7)
Rounding and Estimating	70	(11)
Solving Applied Problems Involving Whole Numbers	81	(28)
Chapter 1 Organizer	98	(3)
Chapter 1 Review Problems	101	(6)
How Am I Doing? Chapter 1 Test	107	(2)
Fractions	109	(94)
Understanding Fractions	110	(8)
Simplifying Fractions	118	(10)
Converting Between Improper Fractions and Mixed Numbers	128	(7)
Multiplying Fractions and Mixed Numbers	135	(7)
Dividing Fractions and Mixed Numbers	142	(12)
How Am I Doing? Sections 2.1--2.5	151	(1)
Test on Sections 2.1--2.5	152	(2)
The Least Common Denominator and Creating Equivalent Fractions	154	(10)
Adding and Subtracting Fractions	164	(8)
Adding and Subtracting Mixed Numbers and the Order of Operations	172	(8)
Solving Applied Problems Involving Fractions	180	(23)
Chapter 2 Organizer	192	(3)
Chapter 2 Review Problems	195	(4)
How Am I Doing? Chapter 2 Test	199	(2)
Cumulative Test for Chapters 1--2	201	(2)
Decimals	203	(66)
Using Decimal Notation	204	(6)
Comparing, Ordering, and Rounding Decimals	210	(6)
Adding and Subtracting Decimals	216	(10)
Multiplying Decimals	226	(8)
How Am I Doing? Sections 3.1--3.4	233	(1)
Dividing Decimals	234	(9)
Converting Fractions to Decimals and Order of Operations	243	(9)
Estimating and Solving Applied Problems Involving Decimals	252	(17)
Chapter 3 Organizer	261	(2)
Chapter 3 Review Problems	263	(4)
How Am I Doing? Chapter 3 Test	267	(1)
Cumulative Test for Chapters 1--3	268	(1)
Ratio and Proportion	269	(42)
Ratios and Rates	270	(8)
The Concept of Proportions	278	(7)
How Am I Doing? Sections 4.1--4.2	284	(1)
Solving Proportions	285	(8)
Solving Applied Problems Involving Proportions	293	(18)
Chapter 4 Organizer	302	(1)
Chapter 4 Review Problems	303	(5)
How Am I Doing? Chapter 4 Test	308	(2)
Cumulative Test for Chapters 1--4	310	(1)
Percent	311	(62)
Understanding Percent	312	(7)
Changing Between Percents, Decimals, and Fractions	319	(9)
Solving Percent Problems Using Equations	328	(9)
Solving Percent Problems Using Proportions	337	(9)
How Am I Doing? Sections 5.1--5.3	345	(1)
Solving Applied Percent Problems	346	(8)
Solving Commission, Percent of Increase or Decrease, and Interest Problems	354	(19)
Chapter 5 Organizer	362	(3)
Chapter 5 Review Problems	365	(4)
How Am I Doing? Chapter 5 Test	369	(2)
Cumulative Test for Chapters 1--5	371	(2)
Measurement	373	(52)
American Units	374	(8)
Metric Measurements: Length	382	(10)
Metric Measurements: Volume and Weight	392	(8)
How Am I Doing? Sections 6.1--6.3	399	(1)
Converting Units	400	(9)
Solving Applied Measurement Problems	409	(16)
Chapter 6 Organizer	416	(1)
Chapter 6 Review Problems	417	(4)
How Am I Doing? Chapter 6 Test	421	(2)
Cumulative Test for Chapters 1--6	423	(2)
Geometry	425	(100)
Angles	426	(9)
Rectangles and Squares	435	(10)
Parallelograms, Trapezoids and Rhombuses	445	(8)
Triangles	453	(8)
Square Roots	461	(7)
How Am I Doing? Sections 7.1--7.5	466	(2)
The Pythagorean Theorem	468	(9)
Circles	477	(10)
Volume	487	(8)
Similar Geometric Figures	495	(7)
Solving Applied Problems Involving Geometry	502	(23)
Chapter 7 Organizer	510	(4)
Chapter 7 Review Problems	514	(6)
How Am I Doing? Chapter 7 Test	520	(3)
Cumulative Test for Chapters 1--7	523	(2)
Statistics	525	(46)
Circle Graphs	526	(7)
Bar Graphs and Line Graphs	533	(8)
How Am I Doing? Sections 8.1--8.2	540	(1)
Histograms	541	(8)
Mean, Median, and Mode	549	(22)
Chapter 8 Organizer	558	(2)
Chapter 8 Review Problems	560	(6)
How Am I Doing? Chapter 8 Test	566	(3)
Cumulative Test for Chapters 1--8	569	(2)
Signed Numbers	571	(50)
Adding Signed Numbers	572	(12)
Subtracting Signed Numbers	584	(6)
Multiplying and Dividing Signed Numbers	590	(8)
How Am I Doing? Sections 9.1--9.3	597	(1)
Order of Operations with Signed Numbers	598	(5)
Scientific Notation	603	(18)
Chapter 9 Organizer	612	(1)
Chapter 9 Review Problems	613	(4)
How Am I Doing? Chapter 9 Test	617	(2)
Cumulative Test for Chapters 1--9	619	(2)
Introduction to Algebra	621	(55)
Variables and Like Terms	622	(5)
The Distributive Property	627	(5)
Solving Equations Using the Addition Property	632	(5)
Solving Equations Using the Division or Multiplication Property	637	(5)
Solving Equations Using Two Properties	642	(7)
How Am I Doing? Sections 10.1--10.5	648	(1)
Translating English to Algebra	649	(7)
Solving Applied Problems	656	(20)
Chapter 10 Organizer	667	(2)
Chapter 10 Review Problems	669	(3)
How Am I Doing? Chapter 10 Test	672	(2)
Cumulative Test for Chapters 1--10	674	(2)
Practice Final Examination	676
Glossary	1	(1)
Appendix A: Consumer Finance Applications	1	(20)
Balancing a Checking Account	2	(7)
Purchasing a Home	9	(7)
Determining the Best Deal When Purchasing a Vehicle	16	(5)
Appendix B: Tables	21	(4)
Table of Basic Addition Facts	21	(1)
Table of Basic Multiplication Facts	21	(1)
Table of Prime Factors	22	(1)
Table of Square Roots	23	(2)
Appendix C: Scientific Calculators	25
Solutions to Practice Problems	1	(1)
Selected Answers	1	(1)
Applications Index	1	(6)
Subject Index	7
Photo Credits	1