A Graduated Series of Exercises in Elementary Algebra: With an Appendix, Containing Papers of Miscellaneous Examples. Designed for the Use of Schools |
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1st term 5abc 5th term a b c a+b+c a²b² a²x² ab² algebraical quantity arithmetic means arithmetic series arithmetical progression brandy bushels coefficient common difference complete square composite numbers digits Divide divisor equal example Explain Find the number Find the sum Find the value following equations following expressions following quantities fraction gallons geometric means geometric series geometrical progression given number greatest common measure gression harmonic means harmonical progression least common multiple lowest terms Multiply number consisting numbers in geometrical operations indicated person bought proportion prove quotient ratio Remove the brackets Required the numbers shillings Show signs SIMPLE EQUATIONS Simplify the expressions Simplify the following Solve the equations Solve the following square root Subtract third three numbers UNKNOWN QUANTITIES unlike quantities x²y yards
Popular passages
Page 50 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.
Page 49 - T.wo detachments of foot being ordered to a station at the distance of 39 miles from their present quarters, begin their march at the same time; but one party, by travelling...
Page 36 - A composition of copper and tin containing 100 cubic inches weighed 505 ounces. How many ounces of each metal did it contain, supposing a cubic inch of copper to weigh 5\ ounces, and a cubic inch of tin to weigh 4^ ounces? Ans. 420 of copper, and ss of tin.
Page 75 - ... 21. A cistern holding 20 barrels has two pipes, by one of which it receives 120 gallons in an hour, and by the other discharges 80 gallons in the same time ; in how many hours will it be filled ? 22.
Page 70 - Prob. 3. Find two numbers, the greater of which shall be to the less, as their sum to 42 ; and as their difference to 6.
Page 37 - ... as many men in front as there were spectators. Had the depth however been increased by 5, and the spectators drawn up in the mass with the army, the number of men in front would have been 100 fewer than before.
Page 47 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Page 50 - There are two numbers whose product is 120. If 2 be added to the less, and 3 subtracted from the greater, the product of the sum and remainder will also be 120. What are the numbers ? Ans. 15 and 8.
Page 49 - A merchant bought cloth for which he paid £33 15s., which he sold again at £2 8s. per piece, and gained by the bargain as much as one piece cost him : how many pieces did he buy ? Ans.
Page 42 - ... and, if 198 be added to the number, we obtain a number with the same figures in an inverted order; what is the number? Ans. 456. 19. A farmer mixes barley at 28 cents, with rye at 36, and wheat at 48 cents per bushel, so that the whole is 100 bushels, and worth 40 cents per bushel. Had he put twice as much rye, and 10 bushels more of wheat, the whole would have been worth exactly the same per bushel ; how much of each kind was there ? Ans. Barley 28, rye 20, and wheat 52 bushels. 20. A, B, and...