Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα
... rules of Factors , Highest Common Factor , Lowest Common Multiple , Involution , Evolution , and the various types of Frac- tions , before making some effort to arouse his interest and intelligence through the medium of easy equations ...
... rules of Factors , Highest Common Factor , Lowest Common Multiple , Involution , Evolution , and the various types of Frac- tions , before making some effort to arouse his interest and intelligence through the medium of easy equations ...
Σελίδα
... RULES IX . SIMPLE EQUATIONS • X. SYMBOLICAL EXPRESSION XI . PROBLEMS LEADING TO SIMPLE EQUATIONS XII . HIGHEST COMMON FACTOR , LOWEST COMMON MULTIPLE OF SIMPLE EXPRESSIONS . FRACTIONS INVOLVING PAGE 1 7 11 16 19 21 31 38 42 44 52 59 64 ...
... RULES IX . SIMPLE EQUATIONS • X. SYMBOLICAL EXPRESSION XI . PROBLEMS LEADING TO SIMPLE EQUATIONS XII . HIGHEST COMMON FACTOR , LOWEST COMMON MULTIPLE OF SIMPLE EXPRESSIONS . FRACTIONS INVOLVING PAGE 1 7 11 16 19 21 31 38 42 44 52 59 64 ...
Σελίδα 5
... rules already given , and by combining the terms the numerical value of the whole expres- sion is obtained . 13. We have already , in Art . 8 , drawn attention to the importance of carefully distinguishing between coefficient and index ...
... rules already given , and by combining the terms the numerical value of the whole expres- sion is obtained . 13. We have already , in Art . 8 , drawn attention to the importance of carefully distinguishing between coefficient and index ...
Σελίδα 8
... Rule I. The sum of a number of like terms is a like term . Rule II . If all the terms are positive , add the coefficients . Example . Find the value of 8a + 5a . 8 CO [ CHAP . ALGEBRA . III.
... Rule I. The sum of a number of like terms is a like term . Rule II . If all the terms are positive , add the coefficients . Example . Find the value of 8a + 5a . 8 CO [ CHAP . ALGEBRA . III.
Σελίδα 9
... Rule III . If all the terms are negative , add the coefficients numerically and prefix the minus sign to the sum . Example . To find the sum of -3x , -5x , -7x , -X . Here the word sum indicates the aggregate of 4 subtractive quantities ...
... Rule III . If all the terms are negative , add the coefficients numerically and prefix the minus sign to the sum . Example . To find the sum of -3x , -5x , -7x , -X . Here the word sum indicates the aggregate of 4 subtractive quantities ...
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.