Elementary Algebra for the Use of Preparatory Schools |
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Page v
... represented in former editions , have been recognized by able critics on both sides of the Atlantic . In the rearrangement of the work and in its adaptation to American schools many changes have been made , too many to be noted in a ...
... represented in former editions , have been recognized by able critics on both sides of the Atlantic . In the rearrangement of the work and in its adaptation to American schools many changes have been made , too many to be noted in a ...
Page 1
... represent numbers , the sign of multiplication is frequently omitted . Thus ab means a x b . = 2. The Method of Algebra . The statement of an equality , made by placing the sign between two numbers , or two sets of numbers , indicating ...
... represent numbers , the sign of multiplication is frequently omitted . Thus ab means a x b . = 2. The Method of Algebra . The statement of an equality , made by placing the sign between two numbers , or two sets of numbers , indicating ...
Page 3
... representing any other num- bers , without in any way affecting the analysis of the problem , or the form of its solution . These examples point to the fact ( they do not prove it ) that no matter what the relation of the quantities ...
... representing any other num- bers , without in any way affecting the analysis of the problem , or the form of its solution . These examples point to the fact ( they do not prove it ) that no matter what the relation of the quantities ...
Page 6
... represent the smaller number ; then 20+ x is the larger , and , by the conditions of the problem , 20+ x + x = 50 . We now subtract 20 from both sides of the equation , and obtain whence and 2 x = 30 ; x = 15 , the smaller number , 20+ ...
... represent the smaller number ; then 20+ x is the larger , and , by the conditions of the problem , 20+ x + x = 50 . We now subtract 20 from both sides of the equation , and obtain whence and 2 x = 30 ; x = 15 , the smaller number , 20+ ...
Page 7
... represent B's share ; then 2x is A's share , and x + 5 is C's share , and the algebraic statement of the problem is , x + 2 x + x + 5 = 75 . From this equation are obtained , by the processes already explained in the preceding examples ...
... represent B's share ; then 2x is A's share , and x + 5 is C's share , and the algebraic statement of the problem is , x + 2 x + x + 5 = 75 . From this equation are obtained , by the processes already explained in the preceding examples ...
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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".