## Essentials of Algebra for Secondary Schools |

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### Common terms and phrases

a²b a²b² a²x² a³b ab² ab³ Algebra arithmetic means arithmetic progression ax² binomial cent change the sign coefficient cologarithm common factor cube root decimal degree denominator digits dimes Divide dividend divisor equal EXAMPLES exponent Extracting the square Find the H. C. F. Find the number Find the value following rule geometric geometric progression Hence highest common factor last term less logarithm m²n mantissa miles an hour monomial Multiplying negative number Note number of dollars number of terms partial fractions polynomial positive integer positive number quadratic equation quotient radical sign ratio remainder result second term Solve the equation Solve the following square root Subtracting Transposing trial-divisor unknown quantities Whence x²y xy² xy³

### Popular passages

Page 276 - 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 55 - ... the square of the second. In the second case, we have (a — 6)2 = a2-— 2 ab + b2. (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 two, plus the square of the second.

Page 128 - 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 37 - 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 277 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.

Page 133 - A person has a hours at his disposal. How far may he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 43.

Page 18 - From §§36 and 37, we have the following rule: To subtract one number from another, change the sign of the subtrahend, and add the result to the minuend.

Page 275 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion. Let ad = ос.

Page 136 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown quantities in the resulting equations of equal absolute value.

Page 45 - A term may be transposed from one member of an equation to the other by changing its sign.