New Elementary Algebra: Containing the Rudiments of the Science for Schools and Academies |
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Common terms and phrases
3d power 4th power a²b a²b² ab² added algebraic quantity arithmetical progression arithmetical series ax² cents coefficient common denominator common difference complete divisor cube root Divide the number dividend division dollars entire quantity equation containing EXAMPLES FOR PRACTICE Expand exponent Extract the square Find the sum find the values following RULE four numbers fourth geometrical progression geometrical series Give analysis greater greatest common divisor Hence horse indicated last term least common multiple less letter lowest terms minus sign mixed quantity monomial Multiply negative NOTE nth root number of terms numbers in geometrical obtain OPERATION polynomial problem proportion quadratic equation quotient radical sign ratio Reduce remainder required root result second power second term SOLUTION square root third tion Transposing trial divisor twice unknown quantity write ах
Popular passages
Page 220 - 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 181 - ... 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 216 - 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 250 - 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 132 - How many days did he work, and how many days was he idle...
Page 257 - 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.