Elementary Algebra for the Use of Preparatory Schools |
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Page 1
... denote a number . When so used in a connected series of operations , a given problem for example , the letter must be regarded as standing for the same number in all the operations of the series . Several distinct letters may be used to ...
... denote a number . When so used in a connected series of operations , a given problem for example , the letter must be regarded as standing for the same number in all the operations of the series . Several distinct letters may be used to ...
Page 9
... denoted by 57 : 9 , the conditions of the problem require that x : 12 = 57 : 9 ; or this statement may be made in the equivalent fractional form x 12 57 9 Multiplying both sides of this equation by 12 , we obtain 12 × 57 x = = 76 . Ex ...
... denoted by 57 : 9 , the conditions of the problem require that x : 12 = 57 : 9 ; or this statement may be made in the equivalent fractional form x 12 57 9 Multiplying both sides of this equation by 12 , we obtain 12 × 57 x = = 76 . Ex ...
Page 10
... denotes the speed of the train . Then , by the rule of three , or proportion , the algebraic statement of the problem is x 3600 = 20 since there are 3600 seconds in an hour . From this equation , by the proper multiplications and ...
... denotes the speed of the train . Then , by the rule of three , or proportion , the algebraic statement of the problem is x 3600 = 20 since there are 3600 seconds in an hour . From this equation , by the proper multiplications and ...
Page 25
... denoted by signs within the enclosure are to be consum- mated before any operation without it is performed . Thus ( a + b ) c means that b is to be added to a and that the result is to be multiplied by c ; again , ( a + b ) 3 means that ...
... denoted by signs within the enclosure are to be consum- mated before any operation without it is performed . Thus ( a + b ) c means that b is to be added to a and that the result is to be multiplied by c ; again , ( a + b ) 3 means that ...
Page 30
... denote the two signs and clusively . When the sign of a quantity is spoken of , it means the + or sign which is prefixed to it ; and when we are directed to change the signs of an expression , it means that we are to change the + or ...
... denote the two signs and clusively . When the sign of a quantity is spoken of , it means the + or sign which is prefixed to it ; and when we are directed to change the signs of an expression , it means that we are to change the + or ...
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Common terms and phrases
7th term a²b a²b² a²x a²x² a³b ab² ab³ absolutely convergent algebraical expression arithmetic means ax² b₁ binomial theorem cents CHAPTER coefficients contain continued fraction convergent denote determinant difference digits Divide dividend division divisor equal equation x² example Find the factors Find the H. C. F. Find the number Find the square Find the sum Find the value finite formula geometrical progression given expression greater Hence indeterminate forms integer less letters limit logarithms monomial Multiply negative nth root number of terms obtain permutations positive integer powers Prove quadratic equation quotient remainder result Show Simplify simultaneous equations Solve the equation square root subtract surds unknown quantities x²y x²y² xy² xy³ zero
Popular passages
Page 46 - Multiplication is the process of taking one number as many times as there are units in another number.
Page 362 - Find the area of a circle whose radius is 12 feet, from the law that the area of a circle varies as the square of its radius.
Page 349 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 77 - 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 362 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".