Schaum's Outline of Elementary Algebra (3rd Edition) by Barnett Rich, Philip A. Schmidt

By Barnett Rich, Philip A. Schmidt

This 3rd version of the perennial bestseller defines the hot alterations in how the self-discipline is taught and introduces a brand new point of view at the self-discipline.

New fabric during this 3rd version includes:

• A modernized part on trigonometry
• An creation to mathematical modeling
• guide in use of the graphing calculator
• 2,000 solved problems
• 3,000 supplementary perform difficulties and extra

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Additional resources for Schaum's Outline of Elementary Algebra (3rd Edition) (Schaum's Outlines Series)

Sample text

The selling price of $90,000 should be the cost minus the loss. Hence, $90,000 ՘ $150,000 Ϫ $60,000 $90,000 ϭ $90,000 2 ᎏᎏ 5 The cost was $150,000. 1. 2. Ans. 3. 2) Translate into an equation, letting n represent the number. ) a) b) c) d) e) What number diminished by 8 equals 13? Two-thirds of what number equals 10? Three times the sum of a number and 6 is 33. What is the number? What number increased by 20 equals 3 times the same number? What number increased by 5 equals twice the same number decreased by 4?

X ϭ 50 Check: x ᎏᎏ Ϫ 3 ϭ 7 5 50 ᎏᎏ Ϫ 3 ՘ 7 5 10 Ϫ 3 ՘ 7 7ϭ7 SOLVING EQUATIONS WITH LIKE TERMS ON THE SAME SIDE Solve each equation. ) a) 8n ϩ 4n Ϫ 3 ϭ 9 b) 13n ϩ 4 ϩ n ϭ 39 12n Ϫ 3 ϭ 9 14n ϩ 4 ϭ 39 A3 12n ϩ 3 ϭ 13 12n12 n ϭ 12 S4 112nϪ4 ϭ Ϫ4 14n 1x2nϭ 35 c) S7 n 10 ϭ 7 ϩ n Ϫ ᎏᎏ 2 n 10 ϭ 7 ϩ ᎏᎏ 2 Ϫ7 ϭ Ϫ712n n 3ϭ ᎏᎏ 2 34 SIMPLE EQUATIONS AND THEIR SOLUTIONS D2 12n 12 ᎏᎏ ϭ ᎏᎏ 12 12 D4 Ans. nϭ1 Ans. 14n 35 ᎏᎏ ϭ ᎏᎏ 14 14 [CHAP. 2 n M2 2 и 3 ϭ ᎏᎏ 2 2 ΂΃ n ϭ 2ᎏ12ᎏ Ans. 3. SOLVING EQUATIONS WITH LIKE TERMS ON BOTH SIDES Solve each equation.

Thus, 2n ϩ 3n ϭ 5n and x ϩ y ϭ y ϩ x are identities since there is no restriction on the values that n, x, and y may have. A solution to an equation is any number which when substituted for the unknown, will make both sides of the equation equal. A solution is said to satisfy the equation. Thus, 6 is a solution of 2n ϭ 12, while 5 or any other number is not. Checking an equation is the process of substituting a particular value for an unknown to see if the value will make both sides equal. Thus, check in 2x ϩ 3 ϭ 11 for x ϭ 4 and x ϭ 5 as follows: 2x ϩ 3 ϭ 11 2(4) ϩ 3 ՘ 11 8 ϩ 3 ՘ 11 11 ϭ 11 2x ϩ 3 ϭ 11 2(5) ϩ 3 ՘ 11 10 ϩ 3 ՘ 11 13 ≠ 11 NOTE.

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