Algebra for Beginners |
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Page 60
... cents the sum left . and $ x = 4x quarters , y half - dollars = 2y quarters ; .. the sum left = ( 4x + 2y - z ) quarters , = 25 ( 4x + 2y - z ) cents . y half - dollars a EXAMPLES X. a . 1. By how much does x exceed 5 ? 2 . By how much ...
... cents the sum left . and $ x = 4x quarters , y half - dollars = 2y quarters ; .. the sum left = ( 4x + 2y - z ) quarters , = 25 ( 4x + 2y - z ) cents . y half - dollars a EXAMPLES X. a . 1. By how much does x exceed 5 ? 2 . By how much ...
Page 61
... cents of n oranges at six cents a score ? 27. If I spend n dimes out of a sum of $ 5 , how many dimes have I left ? 28. What is the daily wage in dimes of a man who earns $ 12 in p weeks , working 6 days a week ? 29. How many days must ...
... cents of n oranges at six cents a score ? 27. If I spend n dimes out of a sum of $ 5 , how many dimes have I left ? 28. What is the daily wage in dimes of a man who earns $ 12 in p weeks , working 6 days a week ? 29. How many days must ...
Page 63
... cents , how many dollars does the bill amount to ? 25. A man has $ x in his purse , he pays away 25 dimes , and receives y cents ; express in dimes the sum he has left . 26. How many dollars does a man save in a year , if he earns $ x a ...
... cents , how many dollars does the bill amount to ? 25. A man has $ x in his purse , he pays away 25 dimes , and receives y cents ; express in dimes the sum he has left . 26. How many dollars does a man save in a year , if he earns $ x a ...
Page 68
... cents as 16 cost under 75 cents ; how many eggs did she buy ? Let x be the price of an egg in cents ; then 9 eggs cost 9x cents , and 16 eggs cost 16x cents ; ... 9x - 25-75-16x , 25x = 100 ; .. x = 4 . Thus the price of an egg is 4 cents ...
... cents as 16 cost under 75 cents ; how many eggs did she buy ? Let x be the price of an egg in cents ; then 9 eggs cost 9x cents , and 16 eggs cost 16x cents ; ... 9x - 25-75-16x , 25x = 100 ; .. x = 4 . Thus the price of an egg is 4 cents ...
Page 69
... cents and 80 cents a pound respectively ; he spends $ 15.10 , and in all gets 24 lbs . ; how much of each did he buy ? 17. A man sold a horse for a sum of money which was greater by $ 68 than half the price he paid for it , and gained ...
... cents and 80 cents a pound respectively ; he spends $ 15.10 , and in all gets 24 lbs . ; how much of each did he buy ? 17. A man sold a horse for a sum of money which was greater by $ 68 than half the price he paid for it , and gained ...
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.