Practical Algebra, First Year Course, Book 1

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American book Company, 1910 - Algebra - 301 pages
 

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Page 68 - The square of the difference of two quantities is equal to the square of the first minus twice the product of the first by the second, plus the square of the second.
Page 91 - To find a number, such that if you subtract it from 10, and multiply the remainder by the number itself, the product shall be 21. Ans. 7 or 3.
Page 251 - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be -the power required.
Page 242 - The area of a rectangle is equal to the product of its base and altitude ; that is, A = ab. 443. Corollary 1. The area of a square is equal to the square of its side. 444. Corollary 2. Tiro rectangles are to each other as the products of their bases and altitudes.
Page 110 - Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator.
Page 199 - The same quantity may be added to, or subtracted from, both sides of an equation. To...
Page 170 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Page 10 - Three lots of tea were sold for $330. The second contained twice as much as the first, and the third three times as much as the first. The third lot contained 330 pounds. Find the selling price of the tea per pound.
Page 254 - and — are equivalent expressions, also of and — — , we conclude that any factor may be transferred from the numerator to the denominator, or from the denominator to the numerator, by changing the sign of its exponent.

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