The junior student's algebra. [With] Answers to the examples |
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Page 26
... algebraical expressions are usually arranged in a particular way , and that the terms do not follow each other by chance . If we look at Ex . ( ii . ) given above , we find that only two letters occur in the dividend , a and x . The ...
... algebraical expressions are usually arranged in a particular way , and that the terms do not follow each other by chance . If we look at Ex . ( ii . ) given above , we find that only two letters occur in the dividend , a and x . The ...
Page 62
... Algebraical quantities is to divide one by the other , using each remainder as it is obtained for a new divisor , and the preceding divisor for a new dividend . When the process comes to an end for want of a remainder , it will be found ...
... Algebraical quantities is to divide one by the other , using each remainder as it is obtained for a new divisor , and the preceding divisor for a new dividend . When the process comes to an end for want of a remainder , it will be found ...
Page 99
... Algebraical expression of an equality existing between two quantities . An expression of Equality which is universally true , whatever may be the value . of the quantities composing it , is called an IDENTICAL EQUATION , or IDENTITY ...
... Algebraical expression of an equality existing between two quantities . An expression of Equality which is universally true , whatever may be the value . of the quantities composing it , is called an IDENTICAL EQUATION , or IDENTITY ...
Page 159
... algebraical expressions . Simplify 2 [ 4x { 2y + ( 2x − y ) − ( x + y ) } ] . - 3. Multiply 22 – 3x2 + 4x − 5 by 7x + 9 , and - 2 4 - 1 3α - a2x + 52 by α - 22 . 4. Divide 26 - 2α3x3 + a by x2 - 2ax + α3 . Find the values of a and b ...
... algebraical expressions . Simplify 2 [ 4x { 2y + ( 2x − y ) − ( x + y ) } ] . - 3. Multiply 22 – 3x2 + 4x − 5 by 7x + 9 , and - 2 4 - 1 3α - a2x + 52 by α - 22 . 4. Divide 26 - 2α3x3 + a by x2 - 2ax + α3 . Find the values of a and b ...
Page 160
... -7c 7a - 5b ( iii . ) a3 + b3 + c3 −3abc a2 + b2 + c2 – bc — ca — ab ' 2. State and explain the rule for the subtraction of two algebraical expressions . Subtract 3a + 4x3y - 7xy + 10y from 423-2x2y 160 CAMBRIDGE EXAMINATION PAPERS .
... -7c 7a - 5b ( iii . ) a3 + b3 + c3 −3abc a2 + b2 + c2 – bc — ca — ab ' 2. State and explain the rule for the subtraction of two algebraical expressions . Subtract 3a + 4x3y - 7xy + 10y from 423-2x2y 160 CAMBRIDGE EXAMINATION PAPERS .
Common terms and phrases
2ab+ 2x²y a+b)² a+b+ a²-b² a²+2ab+b² a²b a²b² a²b³ a²x a²x² a³b³ ab+b² ab² ab³ abc2 algebraical ax² b² a² brackets CAMBRIDGE change the signs compound expression cube difference digits Divide dividend and divisor divisible divisor equal EXAMPLES Find the L.C.M. Find the number Find the square find the value following expressions formula fraction Greatest Common Measure half highest power hour LEAST COMMON MULTIPLE lowest terms method minutes Multiply numbers whose sum numerator and denominator numerical co-efficients original number OXFORD proper fraction quotient remainder Resolve into factors shillings SIMPLE EQUATIONS Simplify Solve the equations square root subtract third twice unknown quantities waggons whence write x²y x²y² xy² xy³ ах
Popular passages
Page 80 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 167 - A sum of money is divided among three persons ; the first receives...
Page 141 - ... time ; and he finds that he can row 2 miles against the stream in the same time that he rows 3 miles with it : find the rate of the stream, and the time of his going and returning.
Page 34 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second ; if we consider x2+2px as the first two terms of the square of a binomial, 3?
Page 68 - If the numerator is less than the denominator, the fraction is called a proper fraction; if it is equal to or greater than the denominator, the -fraction is called an improper fraction.
Page 160 - A purse of eagles is divided among three persons, the first receiving half of them and one more, the second half of the remainder and one more, and the third 6.
Page 162 - Large marbles are a penny a score dearer than small ones. A boy who has bought equal numbers of each kind finds that on the whole he has got eight for a penny. How much are...
Page 114 - Divide $630 among 3 persons, so that the second shall have £ as much as the first, and the third \ as much as the other two; what is the share of each ? t 1st, $240.
Page 19 - Multiply each term of the multiplicand by each term of the multiplier, and add the products together. 2. 3. 0+6 c?b+cd 0+6 ab+cd* a?+ab aW+abcd ab+b2 +a1bcd?+c*ds a2+2a6+6
Page 156 - J if 1 be added to its numerator, and if 1 be added to its denominator it becomes ¿ ; what is the fraction 1 9.