### Contents

 CHAPTER PAGE I ALGEBRAIC SYMBOLS 7 NEGATIVE NUMBERS 28 ADDITION AND SUBTRACTION THE EQUATION 39 MULTIPLICATION 58 DIVISION 76 EQUATIONS Continued 93 ABBREVIATED MULTIPLICATION AND DIVISION 109 FACTORING 134
 GRAPHS 251 INVOLUTION AND EVOLUTION 266 RADICALS 283 QUADRATIC EQUATIONS OF ONE UNKNOWN QUANTITY 311 SIMULTANEOUS QUADRATIC EQUATIONS 336 GRAPHS OF QUADRATIC EQUATIONS 351 RATIO AND PROPORTION 356 APPENDIX 369

### Popular passages

Page 215 - At what time between 3 and 4 o'clock are the hands of a watch pointing in opposite directions?
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 80 - To divide a polynomial by a monomial, divide each term of the dividend by the divisor and add the partial quotients.
Page 129 - The difference of two like even powers of two quantities is divisible by the sum of the quantities, and also by their difference ; The sum of two like odd powers of two quantities is divisible by the sum of the quantities; The difference of two like odd powers of two quantities is divisible by the difference of the quantities.
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 367 - 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 361 - In any proportion, the product of the means is equal to the product of the extremes.
Page 361 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.
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 217 - A courier who travels 5j mi. an hour was followed after 8 hours by another, who went 7^ mi. an hour. In how many hours will the second overtake the first? 49. A woman can write 15 words per minute with a pen, and a girl can write 40 words per minute on the typewriter. The woman has a start of 3 hours in copying a certain manuscript. How long before the girl using the typewriter will overtake the woman?