Gradations in Algebra in which the First Principles of Analysis are Inductively Explained: Illustrated by Copious Exercises, and Made Suitable for Primary SchoolsI. Ashmead, 1839 - 148 páginas |
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Página 13
... find the value of an unknown quantity , by using , in our calculations , that quantity itself . Example 1. A friend has told me , that in both of his vest pockets he has 28 cents ; but in the right pocket there are 8 cents more than in ...
... find the value of an unknown quantity , by using , in our calculations , that quantity itself . Example 1. A friend has told me , that in both of his vest pockets he has 28 cents ; but in the right pocket there are 8 cents more than in ...
Página 24
... find the value of an unknown quantity by it , it must con- tain some quantity that is already known . And then , we find the value of the unknown quantity , by making that stand by itself on one side of = , and all the known quan ...
... find the value of an unknown quantity by it , it must con- tain some quantity that is already known . And then , we find the value of the unknown quantity , by making that stand by itself on one side of = , and all the known quan ...
Página 25
... find the value of x . Example 1. x + 2x = 45-15 . Uniting terms , 3x = 30 . Now , as we have found that three x's 30 , it is evident that one x will be one third of 30. Therefore , dividing by 3 , x = 10 . 2 . 8x - 4x - x - 7 + 26 + 51 ...
... find the value of x . Example 1. x + 2x = 45-15 . Uniting terms , 3x = 30 . Now , as we have found that three x's 30 , it is evident that one x will be one third of 30. Therefore , dividing by 3 , x = 10 . 2 . 8x - 4x - x - 7 + 26 + 51 ...
Página 32
... find , that x + 16 = 46 , we may know that x = 46—16 ; or what is the same ... value at all , for +16 and -16 balance each other as has been seen in Ex . 1 ... value of x ? Uniting terms , 4x + 8 = 56 . Subtracting 8 from both , Which is ...
... find , that x + 16 = 46 , we may know that x = 46—16 ; or what is the same ... value at all , for +16 and -16 balance each other as has been seen in Ex . 1 ... value of x ? Uniting terms , 4x + 8 = 56 . Subtracting 8 from both , Which is ...
Página 53
... find that whenever we multiply both the numerator and the denomi- nator by the same number , no matter what that ... value , that which has the least denominator is the most easily un- derstood . Thus , & of an apple is much better known ...
... find that whenever we multiply both the numerator and the denomi- nator by the same number , no matter what that ... value , that which has the least denominator is the most easily un- derstood . Thus , & of an apple is much better known ...
Términos y frases comunes
A's share a²-2ab+b² added ALGEBRAICAL QUANTITIES answer apples arithmetic barley bought bushels called cents apiece chaise change the sign co-efficient compound quantity denotes difference digits Divide the number dividend division dollars equal fractions EQUATIONS.-SECTION EXAMPLES exponent factor find the value Find two numbers find x Forming the equation gallons gentleman Given greater harness improper fraction last member left pocket less letter literal quantities lowest terms manner merator method minus multiply the numerator number of yards numeral quantities obtain pears person principle proportion pupil purse quan question quotient ratio receive Reduce remainder represents rule saddle sheep shillings simple fraction simple quantity Substituting third tity Transposing and dividing Transposing and uniting twice Unite the terms UNITING FRACTIONS Uniting terms unknown quantity vinculum vulgar fraction Whence whole number whole quantity whole x's wine worth
Pasajes populares
Página 57 - A man driving his geese to market, was met by another, who said, good morrow, master, with your hundred geese...
Página 139 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Página 121 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Página 82 - A sum of money was divided between two persons, A and B, so that the share of A was to that of B as 5 to 3.
Página 45 - A person, at the time he was married, was 3 times as old as his wife ; but after they had lived together 15 years, he was only twice as old ; what were their ages on their wedding day ? Ans.
Página 80 - Prob. 14. A ship and a boat are descending a river at the same time. The ship passes a certain fort, when the boat is 13 miles below. The ship descends five miles, while the boat descends three. At what distance below the fort will they be together ? Ans.
Página 100 - There is a certain number, consisting of two digits, the sum of which digits is 5 ; and if 9 be added to the number itself the digits will be inverted ; what is the number?
Página 79 - Two men commenced trade together ; the first put in $40 more than the second, and the stock of the first was to that of the second as 5 to 4 ; what was the stock of each ? Ans. $200, and $160.
Página 55 - A post is one-fourth of its length in the mud, one-third in the water, and 10 feet above the water ; what is its whole length ? Ans. 24 feet.
Página 72 - ... 5, respectively ? Ans. 10 and 2 30. A person in play lost a fourth of his money, and then won back 3s., after which he lost a third of what he now had, and then won back 2s. ; lastly, he lost a seventh of what he then had, and after this found he had but 12s. remaining ; what had he at first ? Ans. 20s.