Advanced Algebra for Colleges and SchoolsAmerican Book Company, 1902 - 608 páginas |
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Página 8
... Solve algebraically the following problems : 2. A horse and saddle cost $ 50 . If the horse cost 4 times as much as the saddle , what was the cost of each ? 3. A bicycle and suit cost $ 90 . How much did each cost , if the bicycle cost ...
... Solve algebraically the following problems : 2. A horse and saddle cost $ 50 . If the horse cost 4 times as much as the saddle , what was the cost of each ? 3. A bicycle and suit cost $ 90 . How much did each cost , if the bicycle cost ...
Página 12
... solving a problem , to employ letters , such as x , y , z , to represent the numbers whose values are sought ; and , in stating a rule , to employ letters to represent the numbers that must be given whenever the rule is applied ...
... solving a problem , to employ letters , such as x , y , z , to represent the numbers whose values are sought ; and , in stating a rule , to employ letters to represent the numbers that must be given whenever the rule is applied ...
Página 30
... Solve the following problems : 17. A man bequeathed $ 10,000 to 3 sons and 4 daughters , so that a son received twice as much as a daughter . What was the share of each daughter , and of each son ? 18. John had twice as many marbles as ...
... Solve the following problems : 17. A man bequeathed $ 10,000 to 3 sons and 4 daughters , so that a son received twice as much as a daughter . What was the share of each daughter , and of each son ? 18. John had twice as many marbles as ...
Página 43
... Solve the following problems : - 12 = = x + 13 + 5 . 26. 7 x 27. 4 x - 20 : = 5 x - 50 + x . 28. 3x1620 5x + 4 . 29. 7 x - 55 = 18 30 . - ―― -- 2 x 1 . -x - 12 = 40 - 8x + 4 . 31. 803 x = 83 8x + 7 . 32. 9 x90 = 16 − x + 4 . 50 - x ...
... Solve the following problems : - 12 = = x + 13 + 5 . 26. 7 x 27. 4 x - 20 : = 5 x - 50 + x . 28. 3x1620 5x + 4 . 29. 7 x - 55 = 18 30 . - ―― -- 2 x 1 . -x - 12 = 40 - 8x + 4 . 31. 803 x = 83 8x + 7 . 32. 9 x90 = 16 − x + 4 . 50 - x ...
Página 58
... = 10 c . 23. 5 c = 5 ( x + a - b ) . 25. 5b 3 ( 2x - b ) -4 b . -- 26. 13 ( x - a ) = 5 ( 2x + a ) . 27. 5 ( 4x - 3 a ) -6 ( 3x - 2 a ) = 3 a . Solve the following problems and verify the solutions : 28. 58 MULTIPLICATION.
... = 10 c . 23. 5 c = 5 ( x + a - b ) . 25. 5b 3 ( 2x - b ) -4 b . -- 26. 13 ( x - a ) = 5 ( 2x + a ) . 27. 5 ( 4x - 3 a ) -6 ( 3x - 2 a ) = 3 a . Solve the following problems and verify the solutions : 28. 58 MULTIPLICATION.
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Términos y frases comunes
a²b² a²x² ab² absolutely convergent algebraic sum arithmetical means arithmetical progression ax² binomial called cents coefficients column Commutative Law complex numbers continued fraction convergent convergent series cube root denominator difference digits divided dividend divisible established as follows EXAMPLES exponent expression factor Find the sum Find the value finite formula function geometrical mean geometrical progression geometrical series given equation Hence highest common divisor imaginary numbers inequality integer last term limit logarithm multiplied negative number nth root number of terms numerically less obtained polynomial positive integer positive number positive root PRINCIPLE quadratic quotient ratio real number reduced remainder represent result second term SOLUTION square root Substituting subtracted surd third Transposing twice units unknown number variable x²y x²y²
Pasajes populares
Página 212 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 343 - ... 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".
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 435 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Página 424 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Página 40 - The process of changing a term from one member of an equation to the other is called Transposition.
Página 331 - PRINCIPLE 7. — If four numbers are in proportion, the. difference between the terms of the first ratio is to either term of the first ratio as the difference between the terms of the second ratio is to the corresponding term of the second ratio ; that is, the numbers are in proportion by Division.
Página 323 - A farmer has two cubical granaries. The side of one is 3 yards longer than the side of the other, and the difference in their solid contents is 117 cubic yards.
Página 426 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.