The Elements of Algebra: Designed for the Use of Common Schools, Also Serving as an Introduction to the "Treatise on Algebra"

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H.H. Hawley & Company, 1848 - Algebra - 251 pages
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Page 54 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.
Page 77 - Two persons, A and B, lay out equal sums of money in trade ; A gains $126, and B loses $87, and A's money is now double of B's : what did each lay out ? Ans. $300.
Page 69 - What number is that whose third part exceeds its fourth part by 16 ? Let x= the number required, Then its — part will be —x, and its — part —a;.
Page 181 - One hundred stones being placed on the ground, in a straight line, at the distance of a yard from each other, how far will a person travel who shall bring them one by one to a basket, which is placed one yard from the first Stone ? Ans.
Page 99 - Then divide the first term of the remainder by the first term of the divisor...
Page 38 - ... the first term of the quotient ; multiply the• divisor by this term, and subtract the product from the dividend.
Page 44 - To reduce a mixed quantity to the form of a fraction. RULE. Multiply the entire part by the denominator of the fraction...
Page 134 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...
Page 10 - It denotes that the quantities between which it is placed, are to be multiplied together.
Page 47 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number. EXAMPLES FOR PRACTICE.

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