## Primary Elements of Algebra: For Common Schools and Academies |

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### Common terms and phrases

1st Bk added ADDITION AND SUBTRACTION affected quadratic equation algebraic quantities arithmetical progression arithmetical series binomial cents coefficient common denominator common difference Completing the square cube decimal decreasing Define denotes dividend division entire quantity equa equal EQUATIONS CONTAINING exponent expressed extract the square Extracting the root Find a number find the G.C.D. Find the square Find the sum find the value following examples geometrical progression geometrical series gives greater greatest common divisor Hence illustrate infinite series last term least common multiple letter minus mixed quantity monomial multiplicand negative quantity number of places number of terms perfect square polynomial prime factors problem proportion Proposition question quotient ratio Reduce remainder represented required the numbers required to find result second degree second power SIMPLE EQUATIONS solving square root taken Theorem third power tion tity Transposing travels trinomial units unknown quantity whole number

### Popular passages

Page 83 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 10 - X. is read into, or multiplied by. It denotes that the quantities between which it is placed, are to be multiplied together.

Page 133 - A number is expressed by three figures ; the sum of these figures is 11 ; the figure in the place of units is double that in the place of hundreds ; and when 297 is added to this number, the sum obtained is expressed by the figures of this number reversed. What is the number ? Ans. 326.

Page 43 - 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 233 - In any proportion the product of the means is equal to the product of the extremes.

Page 62 - The Least Common Multiple of two or more quantities is the least quantity that will contain them exactly. Thus, 6 is the least common multiple of 2 and 3 ; and 10zy is the least common multiple of 2x and by. NOTE . — LCM stands for least common multiple.

Page 111 - What two numbers are as 2 to 3 ; to each of which, if 4 be added, the sums will be as 5 to 7 ? Prob.

Page 166 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. V. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are brought down.

Page 90 - Every equation is composed of two parts, separated from each other by the sign of equality. The First Member of an equation is the quantity on the left of the sign of equality. The Second Member is the quantity on the right of the sign of equality. Each member is composed of one or more terms.

Page 46 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first and second, plus the square of the second.