Elementary algebra [by J. Martin]. |
Συχνά εμφανιζόμενοι όροι και φράσεις
12 the third 4a³x a+b)² a+b+c a²-b² a²-x² a²+2ab+b² a²+ab a²+b² a²+x² ab+b² actual multiplication algebraical quantities arrange the terms B's sum binomial brackets common denominator contained continued product Divide a² dividend division of algebraical divisor elementary factors EXERCISE XXXVIII Find by inspection Find the continued Find the G.C.M. Find the numbers Find the product find the value find x following sum fractional coefficients gallons Given Hence the factors last terms least common multiple literal portion lowest terms middle term mixed quantities Mult Multiply ² Multiply a+b Multiply x²-ax+b Multiply x²+(a+b)x+ab multiplying both sides preceding examples proceed pupil quotient remaining factors Resolve sheep shillings signs produce Simplify solving square subtracted term is positive third term trinomial unknown quantity unlike signs value of x vinculum vulgar fractions arithmetic x+a)(x+b ах Зау
Δημοφιλή αποσπάσματα
Σελίδα 63 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Σελίδα 96 - A certain number of sovereigns, shillings, and sixpences together amount to 8/. 6s. 6d., and the amount of the shillings is a guinea less than that of the sovereigns, and a guinea and a half more than that of the sixpences : Find the numbers of each coin.
Σελίδα 74 - How long would it take the third man to do it alone ? 30. A can do half as much work as B, B can do half as much as C, and together they can complete a piece of work in 24 days. In what time can each alone complete the work ? 31.
Σελίδα 74 - A smuggler had a quantity, of brandy which he expected would produce .£9. 18s. ; after he had sold 10 gallons a revenue officer seized one-third of the remainder, in consequence of which he makes only £8. 2s. ; required the number of gallons he had and the price per gallon.
Σελίδα 50 - ... start at the same time, from the same place, and travel in opposite directions, what will represent their distance apart at the end of 1 day ? of 2, 3, 4, 5 days ? ART.
Σελίδα 91 - Find two numbers such that if the first be added to four times the second, the sum is 29 ; and if the second be added to six times the first the sum is 3G.
Σελίδα 39 - Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed.
Σελίδα 59 - Reduce to simple fractions when necessary ; then multiply the numerator of each fraction by all the denominators except its own, for the new numerators, and all the denominators together for a common denominator.
Σελίδα 96 - 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.
Σελίδα 92 - A's stock would have been to B's as 5 to 9. What was the stock of each ? Ans. A's $300 and B's $350. 7. A rectangular bowling green having been measured, it was observed, that if it were 5 feet broader, and 4 feet longer, it would contain 116 feet more; but if it were 4 feet broader, and 5 feet longer, it would contain 113 feet more. Required the length and breadth.