# Elementary Algebra

Allyn and Bacon, 1915 - Algebra - 373 pages
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### Contents

 IV 6 EQUATIONS AND PROBLEMS 25 POSITIVE AND NEGATIVE NUMBERS 45 Addition of Signed Numbers 46 VIII 51 Multiplication of Signed Numbers 56 Addition and Subtraction of Polynomials 69 Algebraic Expressions in Parentheses 75
 126 248 Simplifying Square Roots 252 SQUARE ROOTS AND RADICALS 258 CHAPTER PAGE 262 Addition and Subtraction of Surds 268 128 269 Rationalizing Binomial Denominators 274 129 286

 Problems on the Arrangement and Value of Digits 81 Arrangement and Grouping of Factors 84 Product of Two Powers of the Same Base 94 FACTORING 117 Trinomial Squares 124 Trinomials of the Form x� + px + 136 EQUATIONS SOLVED BY FACTORING 147 COMMON FACTORS AND MULTIPLES 155 Reduction of Fractions to Lowest Terms 162 Addition and Subtraction of Fractions 168 XIV 185 LITERAL EQUATIONS AND THEIR USES 196 GRAPHIC REPRESENTATION 230 Square Root of a Product 241 122 242
 SYSTEMS OF QUADRATICS 297 137 298 213 300 THE BINOMIAL FORMULA 308 VARIABLES AND FUNCTIONS 313 REVIEW EXERCISES 318 150 325 3333 328 30 336 50 342 152 347 69 353 230 356 Copyright

### Popular passages

Page 327 - A and B working together can do a piece of work in 12 days.
Page 239 - Divide the first term of the remainder by twice the first term of the root, and add the quotient to the part of the root already found, and also to the trial-divisor.
Page 270 - From (ж + a)2 = я? + 2 ax + a2 we see that the third term is the square of half the coefficient of x in the second term.
Page 102 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Page xii - ... a. A rectangular solid is a figure of three dimensions having six rectangular faces meeting each other at right angles. The three dimensions are length, width, and height. The figure below is a rectangular solid: l is the length, w is the width, and h is the height.
Page 143 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 102 - The square of the difference of two numbers is equal to the square of the first, minus twice the product of the first and the second, plus the square of the second.
Page 317 - An open box is made from a square piece of tin by cutting out a 5 inch square from each corner and turning up the sides. How large is the original square, if the box contains 180 cubic inches?
Page 283 - The second value is in this case not to be taken, for it is inadequate; people do not approve of negative roots.
Page 183 - In any proportion, the product of the means equals the product of the extremes.