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Master math : solving word problems : analyze any word problem, translate it into mathematical terms, and get the right answer!
2003
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Summary
Students throughout the world fear and dread solving word problems. As students' reading skills have declined, so have their abilities to solve word problems. This book offers solutions to the most standard and non-standard word problems available. It follows the suggestions of the National Council of Teachers of Mathematics (NCTM) and incorporates the types of problems usually found on standardized math tests (PSAT, SAT, and others).
Table of Contents
To the Readerp. 11
Chapter 1.Simple Equation Problemsp. 13
Length Problemsp. 14
Age Problemsp. 15
Use of the Words "More Than" and "Less Than"p. 16
Inequalities Using the Words "At Least" and "At Most"p. 18
Number Problemsp. 19
Chapter 2.Percentsp. 25
Percents and Decimalsp. 26
Percents and Numbersp. 29
The Percent Is Includedp. 30
Percent Increase and Decreasep. 32
Discountsp. 34
Discounts on Discountsp. 36
Interestp. 38
Simple Interestp. 39
Credit Cardsp. 40
Compound Interestp. 41
Bank Depositsp. 43
Investmentsp. 44
Stocksp. 45
Bondsp. 45
Profit and Lossp. 49
Chapter 3.Advanced Level Age Problemsp. 49
Chapter 4.Mixing Problemsp. 59
Stamps and Coinsp. 60
Liquids With Different Strengthsp. 62
Diluting Solutions With Waterp. 63
Mixing Metalsp. 65
A Mixed Bagp. 66
Fruit, Candy, and Moneyp. 68
Investments at Different Interest Ratesp. 69
Chapter 5.Measurement Problemsp. 71
Ratio and Proportionp. 72
Proportionp. 74
Measurements and Conversionsp. 77
The Customary Systemp. 77
The Metric Systemp. 82
Conversions Between the Customary and the Metric Systemp. 85
Dimensional Analysisp. 86
Temperaturep. 87
Chapter 6.Rate Problemsp. 89
Motion (Speed) Problemsp. 90
Work Problemsp. 96
Chapter 7.Statistics and Probabilityp. 103
Averagesp. 104
Graphsp. 105
Probability and Oddsp. 112
Probabilityp. 112
Oddsp. 114
Probabilities With "And" and "Or" Statementsp. 115
The Counting Principle, Permutations, and Combinationsp. 118
The Fundamental Counting Principlep. 118
Permutationsp. 119
Combinationsp. 120
Setsp. 120
Chapter 8.Geometryp. 123
Plane Geometryp. 124
Anglesp. 124
Perimeterp. 125
Areasp. 127
The Pythagorean Theoremp. 130
Angles and Trianglesp. 131
Exterior Anglesp. 132
Congruent and Similar Trianglesp. 133
Polygonsp. 135
Similar Polygonsp. 136
The Circlep. 137
Solid Geometryp. 138
Areap. 139
Volumep. 140
Trigonometryp. 141
Analytic Geometryp. 145
AppendixReview of Equationsp. 151
Linear Equations With One Variablep. 151
Equations With Denominatorsp. 154
Non-Proportion Equationsp. 156
Simultaneous Equationsp. 157
Quadratic Equationsp. 159
Answers to Practice Problemsp. 161
Indexp. 183
About the Authorp. 189
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