New Elementary Algebra: Containing the Rudiments of the Science for Schools and Academies
Ivison, Blakeman, Taylor & Company, 1874 - Algebra - 312 pages
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added addition algebraic ANALYSIS application Assume binomial cents changed coefficient common complete condition contain correction cube root denominator difference Divide dividend division divisor dollars entire equal equation EXAMPLES FOR PRACTICE Expand exponent expressed extracting extremes factors figure find the values find x following RULE four fourth fraction Give Given greater greatest half Hence horse indicated known last term least common less letter means method miles minus Multiply negative NOTE number of terms obtain OPERATION paid period polynomial positive principles problem proportion quadratic quotient radical Raise ratio Reduce remainder represent Resolve result second term similar simple SOLUTION square root subtract taken term third three numbers tion Transposing twice unit unknown quantity whole write
Page 222 - It is required to divide the number 14 into two such parts that the quotient of the greater divided by the less, may be to the quotient of the less divided by the greater as 16 to 9.
Page 85 - RULE. — Multiply each numerator by all the denominators except its own, for the new numerators; and all the denominators together for a common denominator. NOTE 1.
Page 57 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 183 - ... and to the remainder bring down the next period for a dividend. 3. Place the double of the root already found, on the left hand of the dividend for a divisor. 4. Seek how often the divisor is contained...
Page 218 - The sum of two numbers is 6, and the sum of their 5th powers is 1056.
Page 97 - 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 53 - Divide the coefficient of the dividend by the coefficient of the divisor, for a new coefficient.
Page 252 - One hundred stones being placed on the ground in a straight line, at the distance of 2 yards from each other, how far will a person travel who shall bring them one by one to a basket, placed at 2 yards from the first stone ? Ans.
Page 134 - How many days did he work, and how many days was he idle...
Page 259 - Multiply the last term by the ratio, from the product subtract the first term, and divide the remainder by the ratio, less 1 ; the quotient will be the sum of the series required.