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

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### Common terms and phrases

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

### Popular passages

Page 214 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 79 - 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 2 - DISTRICT OF MASSACHUSETTS, TO WIT: District Clerk's Office. BE IT REMEMBERED, that on the...

Page 92 - 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 14 - How many barrels were there in the whole ? Let x denote one half the number of barrels. \ 15. From two towns, which are 187 miles apart, two travellers set out at the same time with an intention of meeting ; one of them travels at the rate of 8, the other of 9 miles each day In how many days will they meet ? II.

Page 2 - BBOWN, of the said district, hath deposited in this office the title of a book, the right whereof he claims as author, in the words following, to wit : " Sertorius : or, the Roman Patriot.

Page 241 - 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 42 - A market-woman bought a certain number of eggs at the rate of 2 for a cent, and as many at 3 for a cent, and sold them out at the rate of 5 for two cents ; after which she observed, that she had lost four cents by them. How many eggs of each sort had she? Let x = the number of each sort. Then — = the price of x eggs at 2 for a cent.

Page 245 - 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.

Page 77 - From the preceding examples and observations, we derive the following general rule for multiplying compound quantities. 1. Multiply all the terms of the multiplicand by each term of the multiplier, observing the same rules for the coefficients and letters as in simple quantities.