Prealgebra

by Carson, Tom

• ISBN13: 9780321237361
• ISBN10: 0321237366
• Edition: 2nd
• Format: Paperback
• Copyright: 2006-01-01
• Publisher: Addison Wesley

Summary

Prealgebra, 2e, is a book for the student. The authors goal is to help build students' confidence, their understanding and appreciation of math, and their basic skills by presenting an extremely user-friendly text that models a framework in which students can succeed. Unfortunately, students who place into developmental math courses often struggle with math anxiety due to bad experiences in past math courses. Developmental math students often have never developed nor applied a study system in mathematics. To address these needs, the author has framed three goals for Prealgebra: 1) reduce math anxiety, 2) teach for understanding, and 3) foster critical thinking and enthusiasm. The author's writing style is extremely student-friendly. He talks to students in their own language and walks them through the concepts, explaining not only how to do the math, but also why it works and where it comes from, rather than using the monkey-see, monkey-do approach that some books take. The second edition has been revised to include an increase in mid-level examples and exercises. In addition, the explanations and annotations are now more concise, yet keep the ever-important thoroughness that is the Carson style.

Table of Contents

Whole Numbers	1	(84)
Introduction to Numbers, Notation, and Rounding	2	(8)
Adding, Subtracting, and Solving Equations with Whole Numbers	10	(12)
Multiplying Whole Numbers and Exponents	22	(14)
Dividing, Square Roots, and Solving Equations with Whole Numbers	36	(13)
Order of Operations	49	(6)
More with Variables, Formulas, and Solving Equations	55	(8)
Problem Solving and Applications	63	(22)
Summary	73	(6)
Review Exercises	79	(3)
Practice Test	82	(3)
Integers	85	(64)
Introduction to Integers	86	(9)
Adding Integers	95	(9)
Subtracting Integers and Solving Equations	104	(9)
Multiplying, Dividing, and Solving Equations with Integers	113	(11)
Order of Operations	124	(7)
Applications and Problem Solving	131	(18)
Summary	141	(2)
Review Exercises	143	(2)
Practice Test	145	(2)
Chapters 1 & 2 Cumulative Review Exercises	147	(2)
Expressions and Polynomials	149	(84)
Evaluating Expressions	150	(5)
Introduction to Polynomials	155	(8)
Simplifying Polynomials	163	(4)
Adding and Subtracting Polynomials	167	(7)
Multiplying Polynomials	174	(13)
Prime Numbers and GCF	187	(14)
Introduction to Factoring	201	(11)
Applications and Problem Solving	212	(21)
Summary	220	(5)
Review Exercises	225	(3)
Practice Test	228	(2)
Chapters 1-3 Cumulative Review Exercises	230	(3)
Equations	233	(56)
Equations and Their Solutions	234	(5)
The Addition/Subtraction Principle of Equality	239	(10)
The Multiplication/Division Principle of Equality	249	(10)
Translating Word Sentences to Equations	259	(6)
Applications and Problem Solving	265	(24)
Summary	278	(3)
Review Exercises	281	(2)
Practice Test	283	(2)
Chapters 1-4 Cumulative Review Exercises	285	(4)
Fractions and Rational Expressions	289	(110)
Fractions, Mixed Numbers, and Rational Expressions	290	(14)
Simplifying Fractions and Rational Expressions	304	(7)
Multiplying Fractions, and Mixed Numbers, and Rational Expressions	311	(17)
Dividing Fractions, Mixed Numbers, and Rational Expressions	328	(11)
Least Common Multiple	339	(7)
Adding and Subtracting Fractions, Mixed Numbers, and Rational Expressions	346	(13)
Order of Operations and Evaluating and Simplifying Expressions	359	(10)
Solving Equations	369	(30)
Summary	381	(9)
Review Exercises	390	(4)
Practice Test	394	(2)
Chapters 1--5 Cumulative Review Exercises	396	(3)
Decimals	399	(88)
Decimals and Rational Numbers	400	(8)
Adding and Subtracting Decimal Numbers	408	(10)
Multiplying Decimal Numbers; Exponents with Decimal Bases	418	(12)
Dividing Decimal Numbers; Square Roots with Decimals	430	(12)
Order of Operations and Applications in Geometry	442	(14)
Solving Equations and Problem Solving	456	(31)
Summary	471	(5)
Review Exercises	476	(5)
Practice Test	481	(2)
Chapters 1--6 Cumulative Review Exercises	483	(4)
Ratios, Proportions, and Measurement	487	(74)
Ratios, Probability, and Rates	488	(12)
Proportions	500	(12)
American Measurement	512	(9)
Metric Measurement	521	(10)
Converting Between the American and Metric Systems	531	(7)
Applications and Problem Solving	538	(23)
Summary	548	(4)
Review Exercises	552	(3)
Practice Test	555	(2)
Chapters 1--7 Cumulative Review Exercises	557	(4)
Percents	561	(66)
Introduction to Percent	562	(6)
Translating Percent Sentences Word for Word	568	(6)
Translating Percent Sentences to Proportions	574	(7)
Solving Percent Problems (Portions)	581	(9)
Solving Problems Involving Percent of Increase or Decrease	590	(12)
Solving Problems Involving Interest	602	(25)
Summary	615	(4)
Review Exercises	619	(2)
Practice Test	621	(2)
Chapters 1--8 Cumulative Review Exercises	623	(4)
Statistics and Graphs	627	(78)
Mean, Median, and Mode	628	(9)
Tables, Charts, and Graphs	637	(14)
The Rectangular Coordinate System	651	(8)
Graphing Linear Equations	659	(14)
Applications with Graphing	673	(32)
Summary	682	(4)
Review Exercises	686	(8)
Practice Test	694	(4)
Chapters 1--9 Cumulative Review Exercises	698	(7)
Glossary	705	(5)
Index of Applications	710	(4)
Index	714	(7)
Answers (Student Edition)	721