## The Normal Elementary Algebra, Part 1 |

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added Addition Algebra binomial called cents changed clearing coefficient common condition consists contain cost cube root Define difference diminished distance Divide dividend divisible divisor Elimination equals equation evident EXAMPLES exponent expression extracting factors figures Find the sum Find the value find x fourth fraction give Given greater hence highest common divisor horse hour increased indicates less letters lowest common multiple method miles minus Multiply negative quantity obtained OPERATION period persons polynomial positive principles problem pupils quadratic quotient radical raise received Reduce remainder represent result rule Rule.-I second term simple SOLUTION solved square root substituting subtract symbol taken tens term THEOREM third tion transposing travels trial divisor twice units unknown quantity watch write zero

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Page 91 - Hence for the division of one fraction by another the usual rule again results, as follows: Rule. — Invert the terms of the divisor and proceed as in multiplication. This might naturally be expected by remembering the relation between multiplication and division, and that one is the exact inverse of the other. For the multiplication of a series of fractions into each other these principles work out as follows...

Page 179 - Multiply the divisor thus increased, by the last figure of the root ; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5th. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are brought down. NOTE.

Page 119 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...

Page 75 - To reduce a fraction to its lowest terms. A Fraction is in its lowest terms when the numerator and denominator are prime to each other. 1. Reduce - p^ to its lowest terms.

Page 228 - Find two numbers such that their difference added to the difference of their squares shall be 150, and their sum added to the sum of their squares shall be 330. 4. Find two numbers whose sum is equal to their product and also to the difference of their squares.

Page 44 - Algebra, is the process of finding how many times one quantity is contained in another...

Page 84 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.

Page 60 - IF the difference of the same powers of two quantities is divisible by the difference of the quantities...

Page 139 - A and B can do a piece of work in 12 days, B and C in 20 days, and A and C in 15 days.