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

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### Contents

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### Common terms and phrases

3d power added amount answer apiece approximate becomes bought breadth bushels called cents changed characteristic coefficient column compound consists contain decimal denominator difference Divide dividend division divisor dollars equal equation example exponent expressed factor figure five formula four fourth fraction gain gallons given gives greater half Hence horse interest known larger learner length less letter logarithm manner miles multiplied necessary negative observe obtained operations pears performed persons positive principle proportion question quotient raised received reduced remainder result rods rule second power share sheep shillings shows sold solve square subtracted Suppose taken tens term third power third root twice units unknown quantity whole number write written yards zero

### Popular passages

Page 129 - 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.

Page 317 - The sum of all the terms. Any three of which being given, the other two may be found.

Page ii - 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 116 - 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 364 - A detachment of soldiers from a regiment being ordered to march on a particular service, each company furnished 4 times as many men as there were companies in the regiment ; but these being found insufficient, each company furnished three more men, when their number was found to be increased in the proportion of 17 to 16.

Page 38 - How many days did he work, and how many days was he idle ? Let x = the number of days he worked.

Page 363 - A farmer has a stack of hay, from which he sells a quantity, which is to the quantity remaining in the proportion of 4 to 5. He then uses 15 loads, and finds that he has a quantity left, which is to the quantity sold as 1 to 2. How many loads did the stack at first contain ? 10.

Page 312 - London to go round the •world, (23661 miles,) one going East and the other West. A goes one mile the first day, two the second, three the third, and so on, increasing his rate one mile per day.

Page 368 - ... and dollars diminished by 2, is half the number of coins. What is the number of coins of each sort ? 40. Suppose a man owes $1000, what sum shall he pay daily so as to cancel the debt, principal and interest, at the end of a year, reckoning it at 6 per cent. simple interest ? 41. A merchant bought two pieces of linen cloth, containing together 120 yards. He sold each piece for as many cents per yard as it contained yards, and found that one brought him in only A as much as the other.