Download Algebra for the Utterly Confused by Larry J. Stephens PDF

By Larry J. Stephens

Scholars and pros alike needs to faucet into their wisdom of algebra daily, even if it is for the SATs, university classes, or perhaps the place of work.

Author Larry Stephens provides a super-accessible method of the topic that even the main math-phobic scholar can stick with, that includes simplified principles and strategies in response to real-world difficulties that use the foundations of algebra for his or her options.

Algebra for the totally careworn bargains a trouble-free, logical, step by step method of the basics of algebra, integrating modern software program as one of many key instruments to help within the ideas of the issues, together with MINITAB, Excel spreadsheets, and Maple.

  • Handy icons support scholars visualize recommendations and strategies
  • More than two hundred solved difficulties and examples relief scholars in understanding algebraic strategies
  • Summary of key issues for each bankruptcy reinforces coated themes

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38 ALGEBRA FOR THE UTTERLY CONFUSED Table 3-2 Fahrenheit and Centigrade Temperatures DOMAIN X = CENTIGRADE RANGE Y = FAHRENHEIT 0* 10 20 30 40 50 60 70 80 90 100† 32* 50 68 86 104 122 140 158 176 194 212† *Freezing point of water. † Boiling point of water. Rectangular Coordinate System Example 3-3: Functions are often represented by plotting pairs of values such as those shown in Table 3-2 in a rectangular coordinate system. A plot of these points is shown in Fig. 3-1. This plot was produced by the software package Minitab.

3-1 are connected by use of a ruler is shown in Fig. 3-4. This graph shows the infinite number of pairs of points that exist between the Centigrade and the Fahrenheit temperature scales. Fig. 3-4 Linear Functions The points in Fig. 3-4 fall on a straight line. Such a function is said to be linear. A linear function can always be expressed as follows, where m is the slope of the line and b is the y-intercept. f(x) = mx + b Functions 41 Short Cuts Example 3-5: One technique for determining m and b is now given.

Step 1: Exchange x and y in the given equation. 8y + 32 Step 2: Solve for y. 8 Step 3: Replace y by f −1(x). x − 32 f −1(x) = ᎏ , where x now represents Fahrenheit temperatures. 8 Note that the function is represented by f(x) and the inverse function is represented by f −1(x). 8 to convert Fahrenheit to Centigrade. Example 3-9: Use the three-step procedure to solve Example 3-7. The equation relating distance to time is y = 70x. Functions 45 Step 1: Exchange x and y in the given equation. x = 70y Step 2: Solve for y.

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