By William G. McCallum, Eric Connally, Deborah Hughes-Hallett
This ebook bargains a clean method of algebra that makes a speciality of educating readers tips to really comprehend the rules, instead of viewing them simply as instruments for different kinds of arithmetic. It will depend on a storyline to shape the spine of the chapters and make the cloth extra attractive. Conceptual workout units are integrated to teach how the knowledge is utilized within the actual international. utilizing symbolic notation as a framework, enterprise pros will come away with a drastically enhanced ability set.
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Extra info for Algebra: Form and Function
1. 2x and 8x 2. 2x + 10 and x + 5 3. x/5 and 5/x 4. 2x2 − 5x and 25 − 3x2 In Exercises 5–14, are the expressions equivalent? 5. 3 EQUIVALENT EXPRESSIONS 6. 5r 8. (a − b)2 and a2 − b2 7. 3(z + w) and 3z + 3w √ 9. a2 + b2 and a + b 10. −a + 2 and −(a + 2) 11. (3 − 4t)/2 and 3 − 2t 2 2 2 12. bc − cd and c(b − d) 17 17. “Multiply by eighty percent” “Divide by eight-tenths” 18. The area of a triangle is often expressed as A = (1/2)bh. Is the expression bh/2 equivalent to the expression (1/2)bh? 19. Show that the following expressions have the same value at x = −8: 4 13.
We call this distributing a over b + c.
Twice n plus three more than n is 21. 52. 2a − 7 = 5a 65. The combined salary of Jason, J, and Steve, S. In Exercises 53–57, solve the equation. 53. 7r = 21 54. a + 7 = 21 66. Twice the combined salary of Jason, J, and Steve, S, is $140,000. 55. J/8 = 4 56. b − 15 = 25 67. 225 pounds is ten pounds more than Will’s weight, w. 57. 5 = 1 − d 68. 50 pounds less than triple Bob’s weight, w. Apago PDF Enhancer PROBLEMS 69. A company outsources the manufacturing of widgets to two companies, A and B, which supply a and b widgets respectively.