## An Introduction to Algebra: Upon the Inductive Method of Instruction |

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### Contents

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### Common terms and phrases

added amount answer apples becomes bought breadth called cents changed coefficient compound consisting contained denominator difference Divide dividend division divisor dollars equal equation example exponent expression factor field figure formula four fourth fraction gain gallons given gives greater half Hence horse interest larger learner length less letter logarithm manner miles Multiply negative observe obtained operations pears performed persons positive principle question quotient received reduced remainder result rods root rule second power share sheep shillings shows sold solve subtracted Suppose tens third power third root twice units unknown quantity whole whole number worth write yards zero

### Popular passages

Page 33 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.

Page 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...

Page 90 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...

Page 99 - 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 270 - Th? fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space. Required the circumference of each.

Page 269 - A gentleman bought a rectangular lot of valuable land, giving 10 dollars for every foot in the perimeter. If the same quantity had been in a square, and he had bought it in the same way, it would have cost him $330 less; and if he had bought a square piece of the same perimeter he would have had 12^ rods more.

Page 271 - ... 8 days. But on the evening of the sixth day 100 men were killed in a sally, and afterwards the mortality increased to 10 daily. Supposing the stock of provisions unconsumed at the end of the sixth day to support 6 men for 61 days; it is required to find how long it would support the garrison ; and the number of men alive when the provisions were exhausted.

Page 170 - From two places at a distance of 320 miles, two persons, A and B, set out at the same time to meet each other. A travelled 8 miles a day more than B, and the number of days in which they met was equal to half the number of miles B went in a day. How many miles did each travel, and how far per day ? 20.

Page 276 - At the 50th mile stone from London, A overtook a drove of geese which were proceeding at the rate of three miles in two hours ; and two hours afterwards met a stage vvaggcn, which was moving at the rate of 9 miles in 4 hours.

Page 272 - A person bought two cubical stacks of hay for 4 1 £ ; each of them cost as many shillings per solid yard as there were yards in a side of the other, and the greater stood on more ground than the less by 9 square yards. What was the price of each ? 69. Two partners, A and B, dividing their gain $60 B took $20 ; A's money was in trade 4...