### Contents

 CHAPTER I 9 EXPONENTS 13 ALGEBRAIC EXPRESSIONS 15 DIVISION 22 CHAPTER IV 38 DIVISION OF MONOMIALS 48 CHAPTER VII 73 CHAPTER VIII 86
 CHAPTER XI 143 POLYNOMIAL BY A POLYNOMIAL 159 CHAPTER XII 163 29 168 CHAPTER XIII 178 38 182 CHAPTER XIV 188 INVOLUTION AND EVOLUTION 192

 CHAPTER IX 104 CHAPTER X 117

### Popular passages

Page 70 - There is a fish whose tail weighs 9 pounds, his head weighs as much as his tail and half his body, and his body weighs as much as his head and his tail ; what is the whole weight of the fish ? Ans.
Page 204 - Separate the given number into periods of two figures each, beginning at the right hand: the period on the left will often contain but one figure.
Page 155 - At what time between 3 and 4 o'clock are the hands of a watch pointing in opposite directions?
Page 88 - Arts. 75 and 76 a trinomial is a perfect square when its first and last terms are perfect squares and positive, and the middle term is twice the product of the square roots of the end terms.
Page 224 - To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend.
Page 84 - The difference of two like even powers of two quantities is divisible by the sum of the quantities, and...
Page 181 - If the greater of two numbers is divided by the less, the quotient is 3 and the remainder 3, but if 3 times the greater be divided by 4 times the less, the quotient is 2 and the remainder 20.
Page 195 - The exponent of x in the second term is 1, and increases by 1 in each succeeding term.
Page 38 - The multiplier is the number by which we multiply, and denotes the numbejr of times the multiplicand is to be taken. The product is the result, or number produced by the multiplication.
Page 61 - The signs of all the terms of an equation may be changed without destroying the equality. For, consider the equation a — x = b — c.