Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα 52
... solution of the equation . 74. An equation which involves the unknown quantity in the first degree is called a simple equation . It is usual to denote the unknown quantity by the letter x . The process of solving a simple equation ...
... solution of the equation . 74. An equation which involves the unknown quantity in the first degree is called a simple equation . It is usual to denote the unknown quantity by the letter x . The process of solving a simple equation ...
Σελίδα 55
... solutions of the following equations : 1 . 7x = 21 . 2. 3x = 15 . 3. 9x = 18 . 4 . 5x = 5 . 5 . 12x = 132 . 6. 33 = 11x . 7. 4x = -12 . 8 . - 10 = - 52 . 17 . 9. 4x = 18 . 10. 12x = 42 . 13. 6x = 26 . 14. 0 = 11x . 15. 1 = 11x . 0 = -2x ...
... solutions of the following equations : 1 . 7x = 21 . 2. 3x = 15 . 3. 9x = 18 . 4 . 5x = 5 . 5 . 12x = 132 . 6. 33 = 11x . 7. 4x = -12 . 8 . - 10 = - 52 . 17 . 9. 4x = 18 . 10. 12x = 42 . 13. 6x = 26 . 14. 0 = 11x . 15. 1 = 11x . 0 = -2x ...
Σελίδα 56
... solution of the equation 7 ( 25 - x ) - 2x - 15 = 2 ( 3x – 25 ) – x . 53. Verify that x = 3 satisfies the equation 2 ( x + 1 ) ( x + 3 ) + 8 = ( 2x + 1 ) ( x + 5 ) . 54. Show that x = 4 satisfies the equation ( 3x + 1 ) ( 2x − 7 ) = 6 ...
... solution of the equation 7 ( 25 - x ) - 2x - 15 = 2 ( 3x – 25 ) – x . 53. Verify that x = 3 satisfies the equation 2 ( x + 1 ) ( x + 3 ) + 8 = ( 2x + 1 ) ( x + 5 ) . 54. Show that x = 4 satisfies the equation ( 3x + 1 ) ( 2x − 7 ) = 6 ...
Σελίδα 64
... solution by finding whether it satisfies the conditions of the question or not . Example II . Divide $ 47 between A , B , C , so that A may have $ 10 more than B , and B $ 8 more than C. Let x represent the number of dollars that C has ...
... solution by finding whether it satisfies the conditions of the question or not . Example II . Divide $ 47 between A , B , C , so that A may have $ 10 more than B , and B $ 8 more than C. Let x represent the number of dollars that C has ...
Σελίδα 68
... solution with a supposition of the kind , " let x = A's share " or let x = the ducks , " or any statement so vague and inexact . It will sometimes be found easier not to put x equal to the quantity directly required , but to some other ...
... solution with a supposition of the kind , " let x = A's share " or let x = the ducks , " or any statement so vague and inexact . It will sometimes be found easier not to put x equal to the quantity directly required , but to some other ...
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Δημοφιλή αποσπάσματα
Σελίδα 91 - The product is a2+2a6-}-62; from which it appears, that the square of the sum of two quantities, is equal to the square of the first plus twice the product of the first by the second, plus the square of the second.
Σελίδα 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Σελίδα 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Σελίδα 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.