## First Lessons in Algebra: Being an Easy Introduction to that Science ; Designated for the Use of Academies and Common Schools |

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a b c d a y z A's share acres added Algebra algebraic quantity amount answer asked the age barrels binomial bought bushels cents coefficient completing the square compound quantity contain cube root debt difference Divide a b dividend divisor equal equation example exponent expressed Extract the square fourth root gain gallons given quantity horse improper fraction less letters merator miles an hour Multiply 9 negative quantity obtain oranges positive quantity quan question quotient Reduce remainder Required the square rods root already second power second term SECTION shillings Simple Quantities sold square root subtracted Suppose the value t r p third power tion tiplied tity transposition twice unknown quantity w y z worth yards

### Popular passages

Page 246 - Several gentlemen made an excursion, each taking the same sum of money. Each had as many servants attending him as there were gentlemen ; the number of dollars which each had was double the number of all the servants, and the whole sum of money taken out was 3456 dollars.

Page 122 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese ; says he, I have not a hundred ; but if I had half as many more as I now have, and two geese and a half, I should have a hundred ; how many had he ? /C s"~

Page 141 - A man and his wife usually drank out a cask of beer in 12 days ; but when the man was from home, it lasted the woman 30 days : how many days would the man alone be in drinking it ? Ans.

Page 251 - The fore-wheel of a carriage makes 6 revolutions more than the hind- wheel in going 120 yards; but if the circumference of each wheel be increased one yard, it will make only 4 revolutions more than the hind-wheel in the same distance.

Page 68 - Divide the first term of the dividend by the first term of the divisor, giving the first term of the quotient. Multiply the whole divisor by this term, and subtract the product from the dividend, arranging the remainder in the same order of powers as the dividend and divisor.

Page 237 - A square court yard has a rectangular gravel walk round it. The side of the court wants 2 yards of being 6 times the breadth of the gravel walk ; and the number of square yards in the walk exceeds the number of yards in the periphery of the court by 164. Required the area of the court ? All equations of the second degree may be reduced to one of the following forms.

Page 138 - A gentleman invested -J of his property in a canal. When he sold out, he lost f of the sum invested, receiving only $1,446. What was the value of his property when he began ? Ans., $11,568. 29. A gentleman leaves $315 to be divided among four servants in the following manner : B is to receive as much as A, and |- as much more; C is to receive as much as A and B, and ^ as much more ; D is to receive as much as the other three, and £ as much more. What is the share of each ? price of the chaise, the...

Page 131 - There is a fish whose head weighs 9 lb. his tail weighs as much as his head and half his body, and his body weighs as much as his head and tail both.

Page 166 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.

Page 125 - The distance from A to D is 34 miles. The distance from A to B is to the distance .from C to D as 2 to 3. And ± of the distance from A to B, added to half the distance from C to D, is three times the distance from B to C. What are the respective distances ? Ans.