Elementary AlgebraRivingtons, 1870 - Algebra |
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Page 28
... equivalent to ac - ad - bc + bd , whatever may be the values of a , b , c , d . " Now since ( a - b ) ( c - d ) = ac - ad - bc + bd , make a = 0 and d = 0 . Then ( 0-6 ) ( c - 0 ) = 0xc - 0x0 - bc + bx0 , or bxc - bc . Similarly it may ...
... equivalent to ac - ad - bc + bd , whatever may be the values of a , b , c , d . " Now since ( a - b ) ( c - d ) = ac - ad - bc + bd , make a = 0 and d = 0 . Then ( 0-6 ) ( c - 0 ) = 0xc - 0x0 - bc + bx0 , or bxc - bc . Similarly it may ...
Page 66
... equivalent to 440 pence . Hence 4x + 6 ( 78 - x ) = 440 , or 4x + 468-6x = 440 , from which we find x = 14 . Hence there are 14 fourpenny pieces , and 64 sixpences . 34. A bill of £ 100 was paid with guineas and half - crowns , and 48 ...
... equivalent to 440 pence . Hence 4x + 6 ( 78 - x ) = 440 , or 4x + 468-6x = 440 , from which we find x = 14 . Hence there are 14 fourpenny pieces , and 64 sixpences . 34. A bill of £ 100 was paid with guineas and half - crowns , and 48 ...
Page 80
... numerator and denominator and divide both by it . The resulting fraction will be one equivalent to the original fraction expressed in the simplest terms . 151. When the numerator and denominator each consist of a 80 FRACTIONS .
... numerator and denominator and divide both by it . The resulting fraction will be one equivalent to the original fraction expressed in the simplest terms . 151. When the numerator and denominator each consist of a 80 FRACTIONS .
Page 81
... equivalent fractions in their simplest terms the following fractions : 4a2 8.23 10a2b3 1 . 2 . 3 . 12a3 36x2 * 24a3b2 * 18.23 7a5b7c8 4axy 4 . 5 . 6 . 45a3y24 21a3b2c5 · 3abc 51ayz 15ab4c3 8x3y223 7 . 8 . 9 . 34a3y z2 ° 12a3b2c2 6x5y823 ...
... equivalent fractions in their simplest terms the following fractions : 4a2 8.23 10a2b3 1 . 2 . 3 . 12a3 36x2 * 24a3b2 * 18.23 7a5b7c8 4axy 4 . 5 . 6 . 45a3y24 21a3b2c5 · 3abc 51ayz 15ab4c3 8x3y223 7 . 8 . 9 . 34a3y z2 ° 12a3b2c2 6x5y823 ...
Page 82
... equivalent to the pro- posed fraction and is in its lowest terms . EXAMPLES . - XL . a2 + 7a + 10 x2 - 9x + 20 1 . 2 . 3 . a2 + 5a + 6 x2 7x + 12 ' x2 - 2x - 3 x2 - 10x + 21 • 4 . x2 – 18xy + 45y3 x2 - 8xy 82 FRACTIONS .
... equivalent to the pro- posed fraction and is in its lowest terms . EXAMPLES . - XL . a2 + 7a + 10 x2 - 9x + 20 1 . 2 . 3 . a2 + 5a + 6 x2 7x + 12 ' x2 - 2x - 3 x2 - 10x + 21 • 4 . x2 – 18xy + 45y3 x2 - 8xy 82 FRACTIONS .
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Common terms and phrases
a+b-c a²+2ab+b² a²+b² Algebra arithmetic means Arithmetical Progression Cambridge change the signs coefficient College List Crown 8vo denominator denote difference digits Divide Dividend division divisor Edition equal equivalent fractions examples Find the number Find the value following expressions fourth gallons Geometrical Progression given greater Greek Hence Highest Common Factor integer John Henry Blunt Latin less logarithms Multiply Nonary number of permutations number of terms obtain Oxford proper fraction quadratic equation quantity quotient radix ratio remainder represent the number result rules scale whose radix School and College second term Senary shew sides Simplify Small 8vo solve the equations square root subtract surds things taken third Thomas Kerchever Arnold tion Trinity Street unknown symbol Waterloo Place whole number
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Page 380 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.
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Page 231 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when...
Page 232 - ... multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth: or, if the multiple of the first be equal to that of the second, the multiple of the third is also equal to that of the fourth...
Page 80 - If both terms of a fraction be divided by the same number, the value of the fraction will remain unchanged.
Page 383 - Greek and English Testament, in parallel columns on the same page. Edited by J. SCHOLEFIELD, MA late Regius Professor of Greek in the University. New Edition, with the marginal references as arranged and revised by DR SCRIvENER, js.
Page 306 - A number is divisible by 11 if the difference between the sum of the digits in the even places and the sum of the digits in the odd places is either 0 or a multiple of 11.
Page 149 - Then divide the first term of the remainder by the first term of the divisor...