By Larry J. Stephens

ISBN-10: 0071355146

ISBN-13: 9780071355148

ISBN-10: 0071430954

ISBN-13: 9780071430951

Scholars and execs alike needs to faucet into their wisdom of algebra daily, no matter if it is for the SATs, university classes, or perhaps the office.

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 according to real-world difficulties that use the rules of algebra for his or her strategies.

Algebra for the definitely pressured bargains a straightforward, logical, step by step method of the basics of algebra, integrating modern software program as one of many key instruments to help within the suggestions of the issues, together with MINITAB, Excel spreadsheets, and Maple.

  • Handy icons support scholars visualize strategies and strategies
  • More than two hundred solved difficulties and examples reduction scholars in figuring out algebraic ideas
  • Summary of key issues for each bankruptcy reinforces coated themes

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Extra info for Algebra for the Utterly Confused

Example text

Table 1-3 Listing Some Possibilities (a + b)(c + d) a b c d F O I L O+I 4x 4x x x 2x 2x 1 −1 1 −1 1 -1 x x 4x 4x 2x 2x −3 3 −3 3 −3 3 4x2 4x2 4x2 4x2 4x2 4x2 −12x 12x −3x 3x −6x 6x x −x 4x −4x 2x -2x −3 −3 −3 −3 −3 -3 −11x 11x x −x −4x 4x ALGEBRA FOR THE UTTERLY CONFUSED 16 From Table 1-3, it is seen that the last row, shown in bold, is the only one that gives O + I = 4x. The correct factorization is then as follows. 4x 2 + 4x − 3 = (2x − 1)(2x + 3) With practice, you can perform an equivalent process in the “mind’s eye” that the table illustrates.

The pay per day is $41,096. Danger! A common mistake that students sometimes make when applying the laws of exponents occurs when different bases are involved. The following example illustrates this situation. Basic Algebra Concepts Review 11 Example 1-13: Suppose we wish to multiply 22 by 43. Since 22 = 4 and 43 = 64, we know the answer is (22)(43) = 4 × 64 = 256. In addition, we find 43/22 = 64/4 = 16. The following illustrates two common mistakes. (22)(43) ≠ 82 + 3 = 85 = 32,768 and 3−2 ΂ ΃ 4 43 ᎏ2 ≠ ᎏ 2 2 = 21 = 2 In other words, the rules of exponents stated previously for multiplication and division work only when the bases are the same.

Short Cuts The recent development of computer algebra software has added a new dimension to the teaching of algebra at all levels. , 57 Erb Street West, Waterloo, Ontario, Canada N2L 6C2). This program is available at many universities and a version for use in high school and community college mathematics is currently being investigated. I have used MAPLE to supplement the teaching of my intermediate algebra course and it has been well received by my students. (The results of a study concerning this usage is reported in a paper entitled “The Use of Computer Algebra in Teaching Intermediate and College Algebra” by Larry J.

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