## The boys' algebra |

### Common terms and phrases

a²+b² Algebra apples arithmetic series Binomial Theorem boys brackets clearing of fractions coefficient complete square Complete the square cube root denominator digits Divide divisor equal equation containing Example Extract the square factor Find a number Find the G. C. M. Find the square Find the sum Find the value Find two numbers given quantity greatest common measure Hence hour hand least common multiple left hand side less Let x=number lowest terms minute hand Multiply negative quantity nth root number consisting number denoted number of terms numbers whose sum numerical value pence PROBLEM quadratic equation quadratic surd quotient Reduce remainder Rule sheep shillings Simplify simultaneous equations Solve the equation square root subtract Sum the series surd Take the square third twice unknown quantities whence x²-xy+y² x²-y²

### Popular passages

Page 79 - To reduce a mixed number to an improper fraction, — RULE : Multiply the whole number by the denominator of the fraction, to the product add the numerator, and write the result over the denominator.

Page 86 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 20 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.

Page 199 - ... the first is to the third as the difference between the first and second is to the difference between the second and third, the quantities a, b, c, are said to be in harmonical proportion.

Page 140 - What number is that, which, being divided by the product of its digits, the quotient is 3 ; and if 18 be added to it, the digits will be inverted ? Ans.

Page 128 - A's money was in trade 12 months, and he received for his principal and gain £26. Also B's money, which was £30, was in trade 16 months.

Page 54 - Divide the number 90 into 4 such parts, that the . first increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, shall all be equal.

Page 95 - Arrange the terms according to the powers of some one letter ; take the square root of the first term for the first term of the required root, and subtract its square from the given polynomial.

Page 199 - Three quantities are said to be in harmonical proportion, when the first is to the third, as the difference between the first and second is to the difference between the second and third.

Page 164 - In each succeeding term the coefficient is found by multiplying the coefficient of the preceding term by the exponent of « in that term, and dividing by the number of the preceding term.