## Algebra for Secondary Schools |

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ab˛ added arithmetic ax˛ binomial called cents changed coefficient common factor Consider containing cube root denominator difference digits Divide dividend division divisor dollars equal equivalent example exceeds EXERCISE Expand exponent expression Extracting factor feet Find Find the number Find the value fraction given given equation gives graph greater Hence hold increased involving less letters logarithm lowest means method miles Multiplying negative obtained polynomial positive integer problem progression proportion prove Putting quotient rational Reduce remainder represented respectively result rule satisfy solution Solve the equation Solve the following square root Substituting Subtracting surd third travels twice units unknown numbers Whence

### Popular passages

Page 285 - In any proportion,, the terms are in proportion by Composition ; that is, the sum of the first two terms is to the first term as the sum of the last two terms is to the third term.

Page 295 - Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter.

Page 53 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.

Page 47 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient.

Page 124 - At what time between 3 and 4 o'clock are the hands of a watch opposite to each other ? Let x = the number of minute-spaces passed over by the minutehand from 3 o'clock to the required time.

Page 18 - If equal quantities be divided by the same or equal quantities, the quotients will be equal. 5. If the same quantity be both added to and subtracted from another, the value of the latter will not be altered.

Page 196 - Multiply the complete divisor by the term of the root last obtained, and subtract the product from the remainder. If...

Page 350 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 285 - In any proportion the terms are in proportion by Composition and Division ; that is, the sum of the first two terms is to their difference, as the sum of the last two terms is to their difference.

Page 41 - Hence, any term may be transposed from one member of an equation to the other by changing its sign.