# The boys' algebra

John Falconer, 1875 - Algebra - 209 pages
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### Contents

 Numerical Values 3 Subtraction 11 Division 18 Simple Equations with One Unknown Quantity 33 Problems 41 Test Questions 69 Reduction of Fractions to Lowest Terms 77 Reduction of Fractions to Common Denominator 83
 Answers 101 41 102 Completing the Square 113 Problems 124 Simultaneous Quadratics 130 Problems 136 Theory of Fractional and Negative Indices 142 Arithmetical Progression 155

 Involution 89 To Find the Cube Root of a Compound Expression 95
 Binomial Theorem 161 Appendix 173

### 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.