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Math word problems the easy way
2002
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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
1.1What Is a Formula?p. 1
1.2Developing Our Own Formulasp. 2
1.3Changing the Subject of a Given Formulap. 3
1.4The Celsius/Fahrenheit Relationshipp. 6
1.5Simple Interestp. 8
1.6Distance and Ratep. 11
1.7Arithmetic Progressionp. 13
1.8Geometric Progressionp. 18
1.9Scientific Formulasp. 23
Testp. 26
2.Mixture and Coin Problemsp. 29
2.1Mixing Foodsp. 30
2.2Business Mixesp. 33
2.3Mixing Liquidsp. 36
2.4Investment Problemsp. 40
2.5Coin and Stamp Problemsp. 43
Testp. 48
3.Perimeters and Circumferencesp. 51
3.1Polygonsp. 51
3.2Rectanglesp. 57
3.3Squaresp. 60
3.4Trianglesp. 65
3.5Parallelograms, Trapezoids, and Rhombusesp. 73
3.6Circlesp. 81
Testp. 85
4.Areasp. 87
4.1Rectanglesp. 87
4.2Parallelogramsp. 93
4.3Squaresp. 96
4.4Trianglesp. 99
4.5Circlesp. 105
4.6Trapezoidsp. 109
Testp. 113
5.Volumesp. 115
5.1Rectangular Solidsp. 116
5.2Cubesp. 121
5.3Prismsp. 123
5.4Cylindersp. 128
5.5Conesp. 131
5.6Spheresp. 134
Testp. 137
6.Integers and Numbersp. 139
6.1Whole Numbersp. 140
6.2Age Problemsp. 143
6.3Consecutive Integersp. 146
6.4Consecutive Even Integersp. 149
6.5Consecutive Odd Integersp. 154
Testp. 157
7.Statisticsp. 159
7.1Statistical Notationsp. 160
7.2The Mean or Averagep. 163
7.3The Medianp. 167
7.4The Modep. 169
7.5The Standard Deviationp. 172
7.6The Normal Distributionp. 176
Testp. 182
8.First-Degree Equationsp. 185
8.1Number Problemsp. 186
8.2Business Problemsp. 191
8.3Upstream-Downstream Problemsp. 194
8.4Digit Problemsp. 198
8.5Investment Problemsp. 203
Testp. 206
9.Ratios, Proportions, and Variationsp. 209
9.1Ratiosp. 209
9.2Proportionsp. 217
9.3Direct Variationp. 221
9.4Inverse Variationp. 225
9.5Joint Variationp. 232
9.6Combined Variationp. 234
Testp. 236
10.Quadratic Equationsp. 239
10.1What Is a Quadratic Equation?p. 239
10.2Finding the Roots of a Quadratic Equationp. 241
10.3Consumer Problemsp. 246
10.4Number Problemsp. 249
10.5Area Problemsp. 252
10.6Work Problemsp. 255
10.7Pythagorean Theorem Problemsp. 258
10.8Electrical Problemsp. 260
Testp. 262
11.Trigonometry of the Right Trianglep. 264
11.1The Pythagorean Theoremp. 265
11.2The Tangent Ratiop. 270
11.3The Sine Ratiop. 276
11.4The Cosine Ratiop. 282
Testp. 286
12.Trigonometry of General Trianglesp. 288
12.1Similar Trianglesp. 289
12.2Areas of Trianglesp. 297
12.3Law of Cosinesp. 300
12.4Law of Sinesp. 304
Testp. 310
13.Differentiationp. 312
13.1Limits of Functionsp. 314
13.2The Derivativep. 317
13.3Slope of a Curve at a Specific Pointp. 324
13.4Second Derivativesp. 326
13.5Maximum and Minimum Pointsp. 329
13.6Distance and Velocityp. 339
13.7Accelerationp. 345
Testp. 347
14.Integrationp. 349
14.1What Is Integration?p. 349
14.2Areas Under Curvesp. 355
14.3Marginal Cost, Marginal Revenuep. 365
14.4Volumesp. 371
Testp. 376
Appendixp. 378
Solutions to Exercisesp. 378
Solutions to Testsp. 388
Table of Values of Trigonometric Functionsp. 392
Glossaryp. 393
Indexp. 397
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