Elementary Algebra for the Use of Preparatory Schools |
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Page 6
... third problem of Art . 2. It was there stated alge- braically ; we now solve it in the purely algebraic form . Let x represent the smaller number ; then 20+ x is the larger , and , by the conditions of the problem , 20+ x + x = 50 . We ...
... third problem of Art . 2. It was there stated alge- braically ; we now solve it in the purely algebraic form . Let x represent the smaller number ; then 20+ x is the larger , and , by the conditions of the problem , 20+ x + x = 50 . We ...
Page 8
... third of all the apples he had and one - third of an apple more to his sister , and then had one apple left . How many apples did he give to his sister ? 8. What number is that whose double exceeds its half 8 INTRODUCTORY LESSONS .
... third of all the apples he had and one - third of an apple more to his sister , and then had one apple left . How many apples did he give to his sister ? 8. What number is that whose double exceeds its half 8 INTRODUCTORY LESSONS .
Page 10
... third of a mile in 20 seconds . What is its speed per hour ? Let x represent the number of miles per hour which denotes the speed of the train . Then , by the rule of three , or proportion , the algebraic statement of the problem is x ...
... third of a mile in 20 seconds . What is its speed per hour ? Let x represent the number of miles per hour which denotes the speed of the train . Then , by the rule of three , or proportion , the algebraic statement of the problem is x ...
Page 22
... third power of a , aaaa is called the fourth power of a , and so on . Sometimes a is called the first power of a . Special names are also given to aa and aaa ; they are called respectively the square and the cube of a . 19. Instead of ...
... third power of a , aaaa is called the fourth power of a , and so on . Sometimes a is called the first power of a . Special names are also given to aa and aaa ; they are called respectively the square and the cube of a . 19. Instead of ...
Page 58
... , and the products thus obtained are put in a third horizontal row , ' like ' terms being again placed under one another . The final result is then obtained by adding the rows of partial products ; and this final 58 MULTIPLICATION .
... , and the products thus obtained are put in a third horizontal row , ' like ' terms being again placed under one another . The final result is then obtained by adding the rows of partial products ; and this final 58 MULTIPLICATION .
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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".