### Contents

 76 8 III 139 IV 141 ADDITION AND SUBTRACTION THE EQUATION MULTIPLICATION 144 EQUATIONS Continued VII VIII FACTORING 149 HIGHEST COMMON FACTOR AND LOWEST COMMON MULTIPLE 160 FRACTIONS 166
 FRACTIONAL AND LITERAL EQUATIONS 196 SIMULTANEOUS EQUATIONS 223 GRAPHS 251 HISTORY OF ELEMENTARY ALGEBRA 266 MATERIAL FOR EXAMPLES 277 266 278

### Popular passages

Page 213 - At what time between 3 and 4 o'clock are the hands of a watch pointing in opposite directions?
Page 97 - ... the square of the first number, minus the product of the first by the second, plus the square of the second.
Page 110 - ... 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 137 - 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 129 - The difference of two like odd powers of two quantities is divisible by the difference of the quantities. For the quotient in all these cases— (1) The number of terms in a quotient equals the degree of the powers...
Page 80 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Page 97 - Prove that the square of the sum of any two numbers equals the square of the first number, plus twice the product of the two numbers, plus the square of the second number.
Page 66 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page 215 - A train running 40 mi. an hour left a station 45 min. before a second train running 45 mi. an hour. In how many hours will the second train overtake the first?