School Algebra |
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Page 23
... increased by of itself equals 18 ? ( a ) What is to be found ? ( A certain number . ) ( b ) Then what shall a represent ? ( The required number . ) ( c ) For what number can two expressions be found ? ( In the problem , 18 and " the ...
... increased by of itself equals 18 ? ( a ) What is to be found ? ( A certain number . ) ( b ) Then what shall a represent ? ( The required number . ) ( c ) For what number can two expressions be found ? ( In the problem , 18 and " the ...
Page 26
... increased by of itself , of itself , and 18 more . Find the number . 28. Three fourths of A's money diminished by $ 20 is equal to of his money increased by $ 5 . Find A's money . 29. The sum of two numbers is 50 , and the difference is ...
... increased by of itself , of itself , and 18 more . Find the number . 28. Three fourths of A's money diminished by $ 20 is equal to of his money increased by $ 5 . Find A's money . 29. The sum of two numbers is 50 , and the difference is ...
Page 27
... increased his capital by 6 % found that it amounted to $ 4240 . How much was it at first ? 34. Find a number such that the sum of its half and its third may exceed the sum of its fourth and its fifth by 23 . 35. In a certain theater ...
... increased his capital by 6 % found that it amounted to $ 4240 . How much was it at first ? 34. Find a number such that the sum of its half and its third may exceed the sum of its fourth and its fifth by 23 . 35. In a certain theater ...
Page 28
... increased by 24 exceeds 80 by as much as the number itself is less than 100 . number . 45. A man left of his estate to his wife , to his children , and $ 1400 to his servants . amount of the estate ? Find the for charity , What was the ...
... increased by 24 exceeds 80 by as much as the number itself is less than 100 . number . 45. A man left of his estate to his wife , to his children , and $ 1400 to his servants . amount of the estate ? Find the for charity , What was the ...
Page 33
... increased by adding 1 to it , the numbers in Art . 54 increase from left to right . That is , + = -3 < -2 , -2 < -1 , −1 < 0 , 0 < +1 , +1 < +2 , etc. We have , therefore , the following relations of positive and negative numbers : I ...
... increased by adding 1 to it , the numbers in Art . 54 increase from left to right . That is , + = -3 < -2 , -2 < -1 , −1 < 0 , 0 < +1 , +1 < +2 , etc. We have , therefore , the following relations of positive and negative numbers : I ...
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Common terms and phrases
a²b a²b² ab+b² ab² absolute value added arithmetical means arithmetical progression ax² bers binomial called cents CHECK coefficient Completing the square cube root difference digits Divide dividend division divisor equations containing equivalent Find the number Find the sum Find the value fractional exponents geometrical graphs Hence highest common factor identity integral logarithm mantissa means method miles an hour minuend monomial multiplied negative numbers nth root number of dollars number of terms numerator and denominator polynomial positive integer positive number problem quadratic equations quotient rational Reduce remainder result rods Simplify solution Solve the equation Solve the following Solve the system square root Substituting subtracted subtrahend surd symbols Theorem twice unknown numbers x²y x²y² xy² zero
Popular passages
Page 85 - 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 74 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Page 412 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 205 - What fraction is that, whose numerator being doubled, and the denominator increased by 7, the value becomes f ; but the denominator being doubled, and the numerator increased by 2, the value becomes -jj-?
Page 357 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Page 355 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 74 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Page 68 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Page 241 - ... plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square of the units, plus the cube of the units. This being the case, the cube of the tens...
Page 35 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.