Algebra for Beginners |
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Page 59
... hour ? In 1 hour he walks 4 miles . In a hours he walks a times as far , that is , 4a miles . 20 Example 5. If $ 20 is divided equally among SYMBOLICAL EXPRESSION.
... hour ? In 1 hour he walks 4 miles . In a hours he walks a times as far , that is , 4a miles . 20 Example 5. If $ 20 is divided equally among SYMBOLICAL EXPRESSION.
Page 61
... hour ? 34. How far can I walk in p hours at the rate of 9 miles an hour ? 35. If I can walk m miles in n days , what is my rate per day ? 36. How many days will it take to travel y miles at x miles a day ? 84. We subjoin a few harder ...
... hour ? 34. How far can I walk in p hours at the rate of 9 miles an hour ? 35. If I can walk m miles in n days , what is my rate per day ? 36. How many days will it take to travel y miles at x miles a day ? 84. We subjoin a few harder ...
Page 62
... hour , and the train at the rate of 25 miles per hour , how long does the journey take ? The coach travels 7 miles in 1 hour ; .. that is , 1 1 hour ; 7 α α hours . 7 Similarly the train travels b miles in b hours . 25 a b 7 25 . the ...
... hour , and the train at the rate of 25 miles per hour , how long does the journey take ? The coach travels 7 miles in 1 hour ; .. that is , 1 1 hour ; 7 α α hours . 7 Similarly the train travels b miles in b hours . 25 a b 7 25 . the ...
Page 63
... hours ? 17. How far can a pigeon fly in x hours at the rate of 2 miles in 7 minutes ? 18. A man travels x miles by boat and y miles by train , how long will the journey take if the train goes 30 miles and the boat 10 miles an hour ? 19 ...
... hours ? 17. How far can a pigeon fly in x hours at the rate of 2 miles in 7 minutes ? 18. A man travels x miles by boat and y miles by train , how long will the journey take if the train goes 30 miles and the boat 10 miles an hour ? 19 ...
Page 87
... hours C walks 3 miles more than D does in six hours , and in seven hours D walks 9 miles more than C does in six hours ; how many miles dees each walk per hour ? 10. In 9 hours a coach travels one mile more than a train does in 2 hours , ...
... hours C walks 3 miles more than D does in six hours , and in seven hours D walks 9 miles more than C does in six hours ; how many miles dees each walk per hour ? 10. In 9 hours a coach travels one mile more than a train does in 2 hours , ...
Common terms and phrases
aČ+bČ 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.