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Prealgebra

by
Edition:
4th
ISBN13:

9780618372621

ISBN10:
0618372628
Format:
Paperback
Pub. Date:
2/1/2004
Publisher(s):
Brooks Cole
List Price: $256.66

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Summary

Prealgebra, 4/e, helps students make the transition from the concrete world of arithmetic to the symbolic world of algebra. The Aufmann team achieves this by introducing variables in Chapter 1 and integrating them throughout the rest of the text. This text\'s single greatest strength is the Aufmann Interactive Method, which enables students to work with the math concepts as they\'re being introduced. In addition, the text strongly emphasizes the AMATYC standards, with a special focus on real-sourced data. New! AIM for Success Student Preface explains how students can achieve success using this text, and walks them through the use of specific supportive features. Prep Tests at the beginning of each chapter focus on the particular prerequisite skills that will be used in the upcoming chapter. Go Figure problems are puzzles designed to engage students in problem solving. Aufmann Interactive Method provides students with an opportunity to try a skill as it is presented. Each section is divided into objectives, and every objective contains one or more sets of matched-pair examples. The first example in each set is worked out; the second example, called You Try It, requires students to actively practice concepts as they are presented in the text. Complete worked-out solutions to these examples are in the appendix, providing immediate feedback and reinforcement. Engaging chapter-opening photos illustrate and reference a specific mathematical application from the chapter. Short-answer Critical Thinking exercises and writing exercises at the end of each section reinforce understanding by encouraging students to think about or review an important concept presented in the lesson. All of the Exercise Sets emphasize skill building, skill maintenance, and applications. End-of-chapter support includes Focus on Problem Solving, which introduces students to various problem-solving strategies, and Projects & Group Activities, which include such varied applications as music, the stock market, earned run averages, buying a car, and nutrition. Throughout the text, data problems have been updated to reflect current data and trends. These application problems demonstrate for students the variety of problems that require mathematical analysis. Instructors can use many of these problems to lead interesting class discussions. Take Note margin notes alert student to a point requiring special attention or amplify the concept under discussion. Point of Interest margin notes contain interesting sidelights about mathematics, its history, or its application. Calculator Notes provide suggestions for using a calculator in certain situations. Calculator icons in both the Student Edition and Instructor\'s Annotated Edition indicate exercises that require a calculator. For ease of navigation and flexibility in choosing applications, an Index of Application appears on the inside front cover, and a chapter-by-chapter index of application problems can be found in the Table of Contents. Chapter Review Exercises at the end of each chapter help students integrate all of the topics presented in the chapter. A two-page Chapter Test provides students with the opportunity to test their understanding of the material and to diagnose their weaknesses. Cumulative Review Exercises help students maintain skills learned in previous chapters. Revised! Chapter S

Table of Contents

Preface xiii
AIM for Success xxv
Whole Numbers
1(86)
Prep Test
2(1)
Section 1.1 Introduction to Whole Numbers
3(16)
Objective A Order relations between whole numbers
3(1)
Objective B Place value
4(2)
Objective C Rounding
6(2)
Objective D Applications and statistical graphs
8(11)
Section 1.2 Addition and Subtraction of Whole Numbers
19(22)
Objective A Addition of whole numbers
19(6)
Objective B Subtraction of whole numbers
25(4)
Objective C Applications and formulas
29(12)
Section 1.3 Multiplication and Division of Whole Numbers
41(26)
Objective A Multiplication of whole numbers
41(5)
Objective B Exponents
46(2)
Objective C Division of whole numbers
48(5)
Objective D Factors and prime factorization
53(2)
Objective E Applications and formulas
55(12)
Section 1.4 Solving Equations with Whole Numbers
67(6)
Objective A Solving equations
67(2)
Objective B Applications and formulas
69(4)
Section 1.5 The Order of Operations Agreement
73(14)
Objective A The Order of Operations Agreement
73(4)
Focus on Problem Solving
77(1)
Questions to Ask
Projects and Group Activities
78(1)
Surveys
Applications of Patterns in Mathematics
Salary Calculator Subtraction Squares
Chapter Summary
79(4)
Chapter Review Exercises
83(2)
Chapter Test
85(2)
Integers
87(64)
Prep Test
88(1)
Section 2.1 Introduction to Integers
89(12)
Objective A Integers and the number line
89(2)
Objective B Opposites
91(1)
Objective C Absolute value
92(1)
Objective D Applications
93(8)
Section 2.2 Addition and Subtraction of Integers
101(16)
Objective A Addition of integers
101(4)
Objective B Subtraction of integers
105(4)
Objective C Applications and formulas
109(8)
Section 2.3 Multiplication and Division of Integers
117(12)
Objective A Multiplication of integers
117(2)
Objective B Division of integers
119(3)
Objective C Applications
122(7)
Section 2.4 Solving Equations with Integers
129(6)
Objective A Solving equations
129(2)
Objective B Applications and formulas
131(4)
Section 2.5 The Order of Operations Agreement
135(4)
Objective A The Order of Operations Agreement
135(4)
Focus on Problem Solving
139(12)
Drawing Diagrams
Projects and Group Activities
140(3)
Time Zones
Multiplication of Integers
Closure
Morse Code/Binary Code
Chapter Summary
143(2)
Chapter Review Exercises
145(2)
Chapter Test
147(2)
Cumulative Review Exercises
149(2)
Fractions
151(86)
Prep Test
152(1)
Section 3.1 Least Common Multiple and Greatest Common Factor
153(6)
Objective A Least common multiple (LCM)
153(1)
Objective B Greatest common factor (GCF)
154(1)
Objective C Applications
155(4)
Section 3.2 Introduction to Fractions
159(14)
Objective A Proper fractions, improper fractions, and mixed numbers
159(3)
Objective B Equivalent fractions
162(2)
Objective C Order relations between two fractions
164(2)
Objective D Applications
166(7)
Section 3.3 Addition and Subtraction of Fractions
173(18)
Objective A Addition of fractions
173(5)
Objective B Subtraction of fractions
178(3)
Objective C Applications and formulas
181(10)
Section 3.4 Multiplication and Division of Fractions
191(18)
Objective A Multiplication of fractions
191(5)
Objective B Division of fractions
196(3)
Objective C Applications and formulas
199(10)
Section 3.5 Solving Equations with Fractions
209(6)
Objective A Solving equations
209(2)
Objective B Applications
211(4)
Section 3.6 Exponents, Complex Fractions, and the Order of Operations Agreement
215(22)
Objective A Exponents
215(1)
Objective B Complex fractions
216(3)
Objective C The Order of Operations Agreement
219(6)
Focus on Problem Solving
225(1)
Common Knowledge
Projects and Group Activities
226(2)
Music
Construction
Fractions of Diagrams
Puzzle from the Middle Ages
Using Patterns in Experimentation
Chapter Summary
228(3)
Chapter Review Exercises
231(2)
Chapter Test
233(2)
Cumulative Review Exercises
235(2)
Decimals and Real Numbers
237(76)
Prep Test
238(1)
Section 4.1 Introduction to Decimals
239(10)
Objective A Place value
239(2)
Objective B Order relations between decimals
241(1)
Objective C Rounding
242(2)
Objective D Applications
244(5)
Section 4.2 Operations on Decimals
249(28)
Objective A Addition and subtraction of decimals
249(3)
Objective B Multiplication of decimals
252(4)
Objective C Division of decimals
256(4)
Objective D Fractions and decimals
260(2)
Objective E Applications and formulas
262(15)
Section 4.3 Solving Equations with Decimals
277(4)
Objective A Solving equations
277(1)
Objective B Applications
278(3)
Section 4.4 Radical Expressions
281(10)
Objective A Square roots of perfect squares
281(3)
Objective B Square roots of whole numbers
284(2)
Objective C Applications and formulas
286(5)
Section 4.5 Real Numbers
291(22)
Objective A Real numbers and the real number line
291(3)
Objective B Inequalities in one variable
294(2)
Objective C Applications
296(5)
Focus on Problem Solving
301(1)
From Concrete to Abstract
Projects and Group Activities
302(2)
Averages
Sequences
Customer Billing
Chapter Summary
304(3)
Chapter Review Exercises
307(2)
Chapter Test
309(2)
Cumulative Review Exercises
311(2)
Variable Expressions
313(62)
Prep Test
314(1)
Section 5.1 Properties of Real Numbers
315(10)
Objective A Application of the Properties of Real Numbers
315(3)
Objective B The Distributive Property
318(7)
Section 5.2 Variable Expressions in Simplest Form
325(8)
Objective A Addition of like terms
325(2)
Objective B General variable expressions
327(6)
Section 5.3 Addition and Subtraction of Polynomials
333(8)
Objective A Addition of polynomials
333(1)
Objective B Subtraction of polynomials
334(2)
Objective C Applications
336(5)
Section 5.4 Multiplication of Monomials
341(6)
Objective A Multiplication of monomials
341(2)
Objective B Powers of monomials
343(4)
Section 5.5 Multiplication of Polynomials
347(4)
Objective A Multiplication of a polynomial by a monomial
347(1)
Objective B Multiplication of two binomials
348(3)
Section 5.6 Division of Monomials
351(6)
Objective A Division of monomials
351(3)
Objective B Scientific notation
354(3)
Section 5.7 Verbal Expressions and Variable Expressions
357(18)
Objective A Translation of verbal expressions into variable expressions
357(2)
Objective B Translation and simplification of verbal expressions
359(1)
Objective C Applications
360(5)
Focus on Problem Solving
365(1)
Look for a Pattern
Projects and Group Activities
366(1)
Multiplication of Polynomials
Chapter Summary
366(3)
Chapter Review Exercises
369(2)
Chapter Test
371(2)
Cumulative Review Exercises
373(2)
First-Degree Equations
375(60)
Prep Test
376(1)
Section 6.1 Equations of the Form x + a = b and ax = b
377(8)
Objective A Equations of the form x + a = b
377(3)
Objective B Equations of the form ax = b
380(5)
Section 6.2 Equations of the Form ax + b = c
385(6)
Objective A Equations of the form ax + b = c
385(1)
Objective B Applications
386(5)
Section 6.3 General First-Degree Equations
391(8)
Objective A Equations of the form ax + b = cx + d
391(1)
Objective B Equations with parentheses
392(2)
Objective C Applications
394(5)
Section 6.4 Translating Sentences into Equations
399(8)
Objective A Translate a sentence into an equation and solve
399(2)
Objective B Applications
401(6)
Section 6.5 The Rectangular Coordinate System
407(8)
Objective A The rectangular coordinate system
407(2)
Objective B Scatter diagrams
409(6)
Section 6.6 Graphs of Straight Lines
415(20)
Objective A Solutions of linear equations in two variables
415(1)
Objective B Equations of the form y = mx + b
416(9)
Focus on Problem Solving
425(1)
Making a Table
Projects and Group Activities
426(1)
Modular Arithmetic
Chapter Summary
427(2)
Chapter Review Exercises
429(2)
Chapter Test
431(2)
Cumulative Review Exercises
433(2)
Measurement and Proportion
435(52)
Prep Test
436(1)
Section 7.1 The Metric System of Measurement
437(8)
Objective A The metric system
437(8)
Section 7.2 Ratios and Rates
445(4)
Objective A Ratios and rates
445(4)
Section 7.3 The U.S. Customary System of Measurement
449(10)
Objective A The U.S. Customary System of Measurement
449(2)
Objective B Applications
451(2)
Objective C Conversion between the U.S. Customary System and the metric system
453(6)
Section 7.4 Proportion
459(8)
Objective A Proportion
459(2)
Objective B Applications
461(6)
Section 7.5 Direct and Inverse Variation
467(20)
Objective A Direct variation
467(2)
Objective B Inverse variation
469(6)
Focus on Problem Solving
475(1)
Relevant Information
Projects and Group Activities
476(2)
Earned Run Average
Joint Variation
Chapter Summary
478(3)
Chapter Review Exercises
481(2)
Chapter Test
483(2)
Cumulative Review Exercises
485(2)
Percent
487(42)
Prep Test
488(1)
Section 8.1 Percent
489(4)
Objective A Percents as decimals or fractions
489(1)
Objective B Fractions and decimals as percents
490(3)
Section 8.2 The Basic Percent Equation
493(10)
Objective A The basic percent equation
493(2)
Objective B Percent problems using proportions
495(2)
Objective C Applications
497(6)
Section 8.3 Percent Increase and Percent Decrease
503(4)
Objective A Percent increase
503(1)
Objective B Percent decrease
504(3)
Section 8.4 Markup and Discount
507(6)
Objective A Markup
507(2)
Objective B Discount
509(4)
Section 8.5 Simple Interest
513(16)
Objective A Simple interest
513(4)
Focus on Problem Solving
517(1)
Using a Calculator as a Problem-Solving Tool
Projects and Group Activities
518(3)
Buying a Car
Demography
Health and Nutrition
Chapter Summary
521(2)
Chapter Review Exercises
523(2)
Chapter Test
525(2)
Cumulative Review Exercises
527(2)
Geometry
529(78)
Prep Test
530(1)
Section 9.1 Introduction to Geometry
531(16)
Objective A Problems involving lines and angles
531(5)
Objective B Problems involving angles formed by intersecting lines
536(3)
Objective C Problems involving the angles of a triangle
539(8)
Section 9.2 Plane Geometric Figures
547(18)
Objective A Perimeter of a plane geometric figure
547(5)
Objective B Area of a plane geometric figure
552(13)
Section 9.3 Triangles
565(10)
Objective A The Pythagorean Theorem
565(2)
Objective B Similar triangles
567(2)
Objective C Congruent triangles
569(6)
Section 9.4 Solids
575(10)
Objective A Volume of a solid
575(3)
Objective B Surface area of a solid
578(7)
Section 9.5 Composite Figures
585(22)
Objective A Perimeter of a composite plane figure
585(1)
Objective B Area of a composite plane figure
586(1)
Objective C Volume of a composite solid
587(1)
Objective D Surface area of a composite solid
588(7)
Focus on Problem Solving
595(1)
Trial and Error
Projects and Group Activities
596(2)
Lines of Symmetry
Preparing a Circle Graph
Chapter Summary
598(3)
Chapter Review Exercises
601(2)
Chapter Test
603(2)
Cumulative Review Exercises
605(2)
Statistics and Probability
607(42)
Prep Test
608(1)
Section 10.1 Organizing Data
609(8)
Objective A Frequency distributions
609(2)
Objective B Histograms
611(1)
Objective C Frequency polygons
612(5)
Section 10.2 Statistical Measures
617(10)
Objective A The mean, median, and mode of a distribution
617(3)
Objective B Box-and-whiskers plots
620(1)
Objective C The standard deviation of a distribution
621(6)
Section 10.3 Introduction to Probability
627(22)
Objective A The probability of simple events
627(4)
Objective B The odds of an event
631(6)
Focus on Problem Solving
637(1)
Applying Solutions to Other Problems
Projects and Group Activities
638(2)
Random Samples
Working Backwards
Chapter Summary
640(3)
Chapter Review Exercises
643(2)
Chapter Test
645(2)
Cumulative Review Exercises
647(2)
Final Examination
649
Appendix
Solutions to You Try Its
1(2)
Answers to Odd-Numbered Exercises
1


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