## 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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### Common terms and phrases

added algebraic antecedent arithmetical arrangement become called causes cent chance cleared of fractions coefficient combinations common common denominator Consequently consider constitute containing continued corresponding denominator denote digits Divide dividend divisible divisor dollars equal equation event EXAMPLES exponent expression Extracting favorable find the values formula four fourth geometrical Given gives greater half Hence increased inequality interest known less letters means method multiply NEGATIVE PRODUCTS number of permutations observing obtain OPERATION persons placed polynomial positive POSITIVE PRODUCTS proceed progression proportion quadratic equation question quotient ratio receive reciprocal Reduce remainder repeated represent respective result RULE Rule under Art shows side solution solved sought square root substituted subtract successive Suppose symbol taken things third tions Transposing twice uniting unknown quantity values of x wish write

### Popular passages

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.