The junior student's algebra. [With] Answers to the examples |
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Page 30
... hour . How far do I walk in y hours ? 8. Prove that if you divide the difference of the cubes of any two numbers by the difference of the numbers , the quotient will be the sum of the squares of the numbers together with the product of ...
... hour . How far do I walk in y hours ? 8. Prove that if you divide the difference of the cubes of any two numbers by the difference of the numbers , the quotient will be the sum of the squares of the numbers together with the product of ...
Page 31
... hour . How much water will then be in the cistern when both have been running y hours ? 23. Prove that if you subtract 18 from twice the square of any number , and divide the remainder by the number increased by 3 , the result will be ...
... hour . How much water will then be in the cistern when both have been running y hours ? 23. Prove that if you subtract 18 from twice the square of any number , and divide the remainder by the number increased by 3 , the result will be ...
Page 125
... hours . In what time can the cistern be filled when all three pipes are running . 27. A starts running at the rate of 8 miles an hour ; and half a minute later B starts to overtake him at the rate of 9 miles an hour . How long and how ...
... hours . In what time can the cistern be filled when all three pipes are running . 27. A starts running at the rate of 8 miles an hour ; and half a minute later B starts to overtake him at the rate of 9 miles an hour . How long and how ...
Page 127
... hours . two - thirds as much as A in the same time . take to do the work together ? EXAMPLES XLIX . Miscellaneous Problems . 1. A trader by his first venture gains ten per cent . on his capital . By his second venture he loses a third ...
... hours . two - thirds as much as A in the same time . take to do the work together ? EXAMPLES XLIX . Miscellaneous Problems . 1. A trader by his first venture gains ten per cent . on his capital . By his second venture he loses a third ...
Page 128
... hour hand , since it moves only one - twelfth as fast as the other . But the minute hand starts 15 minutes behind the hour hand , and consequently has this distance to make up . Or , in other words , when the hands are together , one ...
... hour hand , since it moves only one - twelfth as fast as the other . But the minute hand starts 15 minutes behind the hour hand , and consequently has this distance to make up . Or , in other words , when the hands are together , one ...
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.