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Prealgebra and Introductory Algebra

ISBN: 9780321067029 | 0321067029
Format: Paperback
Publisher: Addison Wesley
Pub. Date: 1/1/2001

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SummaryTable of Contents
Prealgebra and Introductory Algebra is an answer to the cry for a combined book for the first two courses in developmental mathematics. Taking advantage of a traditional approach to the subject matter, this text builds on the quality of examples, exercises, writing style, and accuracy that you've come to expect when you see the Lial name. Using everyday, realistic applications to increase student motivation, the authors answer the question When am I ever going to use this? The worktext format encourages students to become actively involved in t... MORE
Prefacevii
Whole Numbers Computation: Diagnostic Testxvii
Introduction to Algebra: Integers
1(82)
Place Value
... MORE1(8)
Introduction to Signed Numbers
9(6)
Adding Integers
15(10)
Study Tips: Using Your Textbook
20(5)
Subtracting Integers
25(4)
Rounding and Estimating
29(10)
Study Tips: Keys to Remembering What You Study
34(5)
Multiplying Integers
39(10)
Dividing Integers
49(12)
Numbers in the Real World: Wedding Expenses
54(7)
Exponents and Order of Operations
61(22)
Summary
71(6)
Review Exercises
77(4)
Test
81(2)
Understanding Variables and Solving Equations
83(62)
Introduction to Variables
83(12)
Simplifying Expressions
95(12)
Numbers in the Real World: Expressions
102(5)
Solving Equations Using Addition
107(12)
Study Tips: Preparing for a Test
112(7)
Solving Equations Using Division
119(8)
Solving Equations with Several Steps
127(18)
Summary
137(4)
Review Exercises
141(2)
Test
143(2)
Solving Application Problems
145(44)
Problem Solving: Perimeter
145(10)
Problem Solving: Area
155(10)
Application Problems with One Unknown Quantity
165(10)
Numbers in the Real World: Formulas
170(5)
Application Problems with Two Unknown Quantities
175(14)
Study Tips: Taking a Test
178(3)
Summary
181(4)
Review Exercises
185(2)
Test
187(2)
Rational Numbers: Positive and Negative Fractions
189(100)
Introduction to Positive and Negative Fractions
189(14)
Numbers in the Real World: Quilt Patterns
196(7)
Writing Fractions in Lowest Terms
203(12)
Multiplying and Dividing Signed Fractions
215(12)
Adding and Subtracting Signed Fractions
227(12)
Numbers in the Real World: Music
234(5)
Problem Solving: Mixed Numbers and Estimating
239(14)
Numbers in the Real World: Sharing Hotel Expenses
248(5)
Exponents, Order of Operations, and Complex Fractions
253(8)
Numbers in the Real World: Recipes
256(5)
Problem Solving: Equations Containing Fractions
261(8)
Geometry Applications: Area and Volume
269(20)
Numbers in the Real World: Stock Market
274(5)
Summary
279(6)
Review Exercises
285(2)
Test
287(2)
Positive and Negative Decimal Numbers
289(104)
Reading and Writing Decimal Numbers
289(10)
Rounding Decimal Numbers
299(6)
Adding and Subtracting Decimal Numbers
305(12)
Multiplying Decimal Numbers
317(6)
Dividing Decimal Numbers
323(10)
Fractions and Decimals
333(8)
Introduction to Statistics: Mean, Median, Mode, and Variability
341(10)
Geometry Applications: Pythagorean Theorem
351(8)
Problem Solving: Equations Containing Decimals
359(6)
Numbers in the Real World: Lawn Fertilizer
362(3)
Geometry Applications: Circles, Cylinders, and Surface Area
365(28)
Summary
377(7)
Numbers in the Real World: Household Census Data
384(1)
Review Exercises
385(6)
Test
391(2)
Ratio, Proportion, and Line/Angle/Triangle Relationships
393(72)
Ratios
393(10)
Rates
403(8)
Proportions
411(10)
Problem Solving: Proportions
421(6)
Geometry: Lines and Angles
427(14)
Geometry Applications: Congruent and Similar Triangles
441(24)
Summary
451(6)
Review Exercises
457(6)
Test
463(2)
Percent
465(70)
The Basics of Percent
465(14)
The Percent Proportion
479(8)
The Percent Equation
487(10)
Problem Solving with Percent
497(10)
Numbers in the Real World: Feeding Hummingbirds
502(5)
Consumer Applications: Sales Tax, Tips, and Discounts
507(8)
Problem Solving: Simple and Compound Interest
515(20)
Numbers in the Real World: Making Your Investments Grow
520(5)
Summary
525(4)
Review Exercises
529(4)
Test
533(2)
Measurement
535(48)
The English System
535(10)
Numbers in the Real World: Growing Sunflowers
540(5)
The Metric System---Length
545(8)
Numbers in the Real World: Measuring Up
550(3)
The Metric System---Capacity and Weight (Mass)
553(10)
Problem Solving: Metric Measurement
563(4)
Metric---English Conversions and Temperature Formulas
567(16)
Summary
573(4)
Review Exercises
577(4)
Test
581(2)
Graphs
583(44)
Reading and Interpreting Tables and Pictographs
583(8)
Reading and Constructing Circle Graphs
591(10)
Bar Graphs and Line Graphs
601(8)
Numbers in the Real World: Grocery Shopping
604(5)
The Rectangular Coordinate System
609(18)
Summary
615(4)
Review Exercises
619(4)
Test
623(4)
Real Numbers, Equations, and Inequalities
627(46)
Real Numbers and Expressions
627(10)
More on Solving Linear Equations
637(10)
Formulas and Solving for a Specified Variable
647(6)
Solving Inequalities
653(20)
Summary
663(4)
Review Exercises
667(4)
Test
671(2)
Exponents and Polynomials
673(62)
The Product Rule and Power Rules for Exponents
673(8)
Numbers in the Real World: Do You Have the Knack for Percent?
678(3)
Integer Exponents and the Quotient Rule
681(8)
An Application of Exponents: Scientific Notation
689(6)
Addition and Subtraction of Polynomials
695(10)
Multiplication of Polynomials
705(6)
Products of Binomials
711(6)
Division of a Polynomial by a Monomial
717(4)
The Quotient of Two Polynomials
721(14)
Summary
727(2)
Review Exercises
729(4)
Test
733(2)
Factoring
735(56)
Factors; The Greatest Common Factor
735(8)
Numbers in the Real World: Number Patterns in Our World
740(3)
Factoring Trinomials
743(6)
Numbers in the Real World: Using Number Properties in Identification
746(3)
More on Factoring Trinomials
749(8)
Numbers in the Real World: The Influence of Spanish Coinage on Stock Prices
754(3)
Special Factorizations
757(8)
Summary Exercises on Factoring
763(2)
Solving Quadratic Equations by Factoring
765(8)
Numbers in the Real World: Using Computers to Break Codes
770(3)
Applications of Quadratic Equations
773(18)
Summary
781(2)
Review Exercises
783(6)
Test
789(2)
Rational Expressions
791(66)
The Fundamental Property of Rational Expressions
791(8)
Numbers in the Real World: The Dangers of Ultraviolet Rays
796(3)
Multiplication and Division of Rational Expressions
799(6)
Least Common Denominators
805(6)
Numbers in the Real World: Statistics Require Careful Interpretation
808(3)
Addition and Subtraction of Rational Expressions
811(8)
Numbers in the Real World: Number Magic
816(3)
Complex Fractions
819(6)
Equations Involving Rational Expressions
825(10)
Numbers in the Real World: Geometry in Our World
830(3)
Summary Exercises on Rational Expressions
833(2)
Applications of Rational Expressions
835(22)
Numbers in Real World: Big Numbers in Our World (and Others) . . . And Just How Big Is a Googol?
842(5)
Summary
847(4)
Review Exercises
851(4)
Test
855(2)
Linear Equations and Inequalities in Two Variables
857(74)
Introduction to Graphing Linear Equations
857(14)
Graphing Linear Equations in Two Variables
871(14)
Numbers in the Real World: Some Facts and Figures on Children's Allowances
878(7)
The Slope of a Line
885(10)
Equations of a Line
895(10)
Graphing Linear Inequalities in Two Variables
905(8)
Graphing Direct and Inverse Variation
913(18)
Summary
919(4)
Review Exercises
923(4)
Test
927(4)
Linear Systems of Equations and Inequalities
931(48)
Solving Systems of Linear Equations by Graphing
931(8)
Solving Systems of Linear Equations by Addition
939(10)
Solving Systems of Linear Equations by Substitution
949(8)
Applications of Linear Systems
957(8)
Solving Systems of Linear Inequalities
965(14)
Summary
969(2)
Review Exercises
971(6)
Test
977(2)
Roots and Radicals
979(56)
Finding Roots
979(10)
Multiplication and Division of Radicals
989(8)
Addition and Subtraction of Radicals
997(4)
Rationalizing the Denominator
1001(6)
Simplifying Radical Expressions
1007(8)
Equations with Radicals
1015(20)
Numbers in the Real World: Are You a Good ``Guesstimator''?
1020(5)
Summary
1025(2)
Review Exercises
1027(6)
Test
1033(2)
Quadratic Equations
1035(1)
Solving Quadratic Equations by the Square Root Property
1035(6)
Numbers in the Real World: A Mathematical Model of the Spread of AIDS
1038(3)
Solving Quadratic Equations by Completing the Square
1041(8)
Solving Quadratic Equations by the Quadratic Formula
1049(10)
Summary Exercises on Quadratic Equations
1057(2)
Using Function Notation for Quadratic Equations
1059(6)
Graphing Quadratic Equations and Inequalities
1065(6)
Summary
1071(4)
Review Exercises
1075(4)
Test
1079
CHAPTER R Whole Numbers Review1(1)
Addition of Whole Numbers
1(8)
Subtraction of Whole Numbers
9(8)
Multiplication of Whole Numbers
17(8)
Division of Whole Numbers
25(10)
Long Division
35(6)
Summary
41(2)
Review Exercises
43(2)
Test
45
APPENDIX A Scientific Calculators1(4)
APPENDIX B Inductive and Deductive Reasoning5(8)
Numbers in the Real World: Lifetime Earnings
10(3)
Answers to Selected Exercises13
Index1(8)
TASP Index9(2)
Index of Applications11

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