Cover image for Math word problems the easy way
Title:
Math word problems the easy way
Author:
Ebner, David, 1942-
Personal Author:
Publication Information:
Hauppauge, N.Y. : Barron's Educational Series, [2002]

©2002
Physical Description:
vii, 401 pages : illustrations ; 28 cm
General Note:
At head of title: Barron's.

Includes index.
Language:
English
ISBN:
9780764118715
Format :
Book

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QA43 .E26 2002 Adult Non-Fiction Non-Fiction Area-Oversize
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Summary

Summary

Books in Barron's Easy Way Series make fine textbook supplements in a wide array of subjects, and are also ideal for independent study by high school and college students who want to boost their grades. This brand-new Easy Way title starts with exercises in basic algebra and progresses to the point where students will be able to solve word problems through calculus. Problems are clearly and concisely dissected and analyzed. Each word problem breaks down into four successive parts: statement of the problem; its analysis; a work area; and the answer. Chapter One deals with mathematical formulas and their uses. Following chapters focus on mixture and coin problems; perimeters and circumferences; determining areas of geometrically defined spaces; finding volumes of solid forms such as cubes, cones, and spheres; solving integer and numbers problems; solving statistical problems; using first degree equations; solving ratio, proportion, and variation problems; understanding quadratic equations; tackling problems solved by trigonometry, and problems solved by functions of calculus. Amusing line art adds a user-friendly touch to this book. An appendix presents solutions to all exercises and tests plus trigonometric tables.


Table of Contents

Introductionp. vi
1. Formulasp. 1
1.1 What Is a Formula?p. 1
1.2 Developing Our Own Formulasp. 2
1.3 Changing the Subject of a Given Formulap. 3
1.4 The Celsius/Fahrenheit Relationshipp. 6
1.5 Simple Interestp. 8
1.6 Distance and Ratep. 11
1.7 Arithmetic Progressionp. 13
1.8 Geometric Progressionp. 18
1.9 Scientific Formulasp. 23
Testp. 26
2. Mixture and Coin Problemsp. 29
2.1 Mixing Foodsp. 30
2.2 Business Mixesp. 33
2.3 Mixing Liquidsp. 36
2.4 Investment Problemsp. 40
2.5 Coin and Stamp Problemsp. 43
Testp. 48
3. Perimeters and Circumferencesp. 51
3.1 Polygonsp. 51
3.2 Rectanglesp. 57
3.3 Squaresp. 60
3.4 Trianglesp. 65
3.5 Parallelograms, Trapezoids, and Rhombusesp. 73
3.6 Circlesp. 81
Testp. 85
4. Areasp. 87
4.1 Rectanglesp. 87
4.2 Parallelogramsp. 93
4.3 Squaresp. 96
4.4 Trianglesp. 99
4.5 Circlesp. 105
4.6 Trapezoidsp. 109
Testp. 113
5. Volumesp. 115
5.1 Rectangular Solidsp. 116
5.2 Cubesp. 121
5.3 Prismsp. 123
5.4 Cylindersp. 128
5.5 Conesp. 131
5.6 Spheresp. 134
Testp. 137
6. Integers and Numbersp. 139
6.1 Whole Numbersp. 140
6.2 Age Problemsp. 143
6.3 Consecutive Integersp. 146
6.4 Consecutive Even Integersp. 149
6.5 Consecutive Odd Integersp. 154
Testp. 157
7. Statisticsp. 159
7.1 Statistical Notationsp. 160
7.2 The Mean or Averagep. 163
7.3 The Medianp. 167
7.4 The Modep. 169
7.5 The Standard Deviationp. 172
7.6 The Normal Distributionp. 176
Testp. 182
8. First-Degree Equationsp. 185
8.1 Number Problemsp. 186
8.2 Business Problemsp. 191
8.3 Upstream-Downstream Problemsp. 194
8.4 Digit Problemsp. 198
8.5 Investment Problemsp. 203
Testp. 206
9. Ratios, Proportions, and Variationsp. 209
9.1 Ratiosp. 209
9.2 Proportionsp. 217
9.3 Direct Variationp. 221
9.4 Inverse Variationp. 225
9.5 Joint Variationp. 232
9.6 Combined Variationp. 234
Testp. 236
10. Quadratic Equationsp. 239
10.1 What Is a Quadratic Equation?p. 239
10.2 Finding the Roots of a Quadratic Equationp. 241
10.3 Consumer Problemsp. 246
10.4 Number Problemsp. 249
10.5 Area Problemsp. 252
10.6 Work Problemsp. 255
10.7 Pythagorean Theorem Problemsp. 258
10.8 Electrical Problemsp. 260
Testp. 262
11. Trigonometry of the Right Trianglep. 264
11.1 The Pythagorean Theoremp. 265
11.2 The Tangent Ratiop. 270
11.3 The Sine Ratiop. 276
11.4 The Cosine Ratiop. 282
Testp. 286
12. Trigonometry of General Trianglesp. 288
12.1 Similar Trianglesp. 289
12.2 Areas of Trianglesp. 297
12.3 Law of Cosinesp. 300
12.4 Law of Sinesp. 304
Testp. 310
13. Differentiationp. 312
13.1 Limits of Functionsp. 314
13.2 The Derivativep. 317
13.3 Slope of a Curve at a Specific Pointp. 324
13.4 Second Derivativesp. 326
13.5 Maximum and Minimum Pointsp. 329
13.6 Distance and Velocityp. 339
13.7 Accelerationp. 345
Testp. 347
14. Integrationp. 349
14.1 What Is Integration?p. 349
14.2 Areas Under Curvesp. 355
14.3 Marginal Cost, Marginal Revenuep. 365
14.4 Volumesp. 371
Testp. 376
Appendixp. 378
Solutions to Exercisesp. 378
Solutions to Testsp. 388
Table of Values of Trigonometric Functionsp. 392
Glossaryp. 393
Indexp. 397