First Lessons in Algebra: Being an Easy Introduction to that Science ; Designated for the Use of Academies and Common Schools |
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Page 21
... apples , and gives 5 of them to Samuel . How many has he left ? In this question , 12 , the number of apples which William had in the first place , is a positive quantity ; and 5 , which must be subtracted to obtain the an- swer , is ...
... apples , and gives 5 of them to Samuel . How many has he left ? In this question , 12 , the number of apples which William had in the first place , is a positive quantity ; and 5 , which must be subtracted to obtain the an- swer , is ...
Page 46
... apples in a bushel , how many are there in 9 bushels ? ANS . 9 x apples . 4. If the interest of a given sum of money be y dollars per annum , what will the interest be for 8 years ? 5. How many bushels of corn are there in a field of 12 ...
... apples in a bushel , how many are there in 9 bushels ? ANS . 9 x apples . 4. If the interest of a given sum of money be y dollars per annum , what will the interest be for 8 years ? 5. How many bushels of corn are there in a field of 12 ...
Page 70
... apple into 5 equal parts , and give 3 of those parts to a boy , he will have 3 of the apple , which ex- pression is read three fifths . Other fractions are read in a similar manner ; as , 1⁄2 , one half ; 3 , two thirds ; 1 , three ...
... apple into 5 equal parts , and give 3 of those parts to a boy , he will have 3 of the apple , which ex- pression is read three fifths . Other fractions are read in a similar manner ; as , 1⁄2 , one half ; 3 , two thirds ; 1 , three ...
Page 87
... apples , three dollars , three units , or three fourths , is evidently one apple , one dollar , one unit , or one fourth ; that is , 3 ÷ 3 4 = 1 4 So , too , if dollars be equally distributed among ac b c persons , each one will have ...
... apples , three dollars , three units , or three fourths , is evidently one apple , one dollar , one unit , or one fourth ; that is , 3 ÷ 3 4 = 1 4 So , too , if dollars be equally distributed among ac b c persons , each one will have ...
Page 116
... apples , for 22 cents . He gave as much for a pear as for 2 apples ; and twice as much for an orange , as for a pear and an apple . What was the price of each ? * 11. The age of A is double that of B ; the age of B is three times that ...
... apples , for 22 cents . He gave as much for a pear as for 2 apples ; and twice as much for an orange , as for a pear and an apple . What was the price of each ? * 11. The age of A is double that of B ; the age of B is three times that ...
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Common terms and phrases
A's share acres added Algebra amount answer apples asked the age binomial bought bushels cents chaise coefficient common denominator completing the square compound quantities contain cost cube root debt difference Divide dividend divisor dollars equal exponent expressed Extract the square farmer fourth power fourth root frac gain gallons gentleman give given quantity greater horse improper fraction less letter merator miles an hour mixed multiply equation negative quantity obtain oranges peaches pears pounds quan question quotient receive Reduce remainder Required the number rods second power second term SECTION shillings Simple Quantities sold square root subtracted third power tion tity transposition twice unknown quantity worth x y z x²y yards α² α³ ху
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.