## Elementary Algebra |

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### Common terms and phrases

added addition algebra altitude arithmetic base binomial called changing CHAPTER Check coefficient contains denominator difference digits dimensions distance divided dividend division divisor equal equation Example exponent expression factor feet figure Find Find the numbers Find the value formula fraction gain give given greater Hence Illustrative inches increased indicated integers interest length less letters means miles per hour multiply NOTE obtained operations ORAL EXERCISES pair Perform polynomial positive preceding Principle problem proportion quadratic quotient ratio rectangle Reduce remainder represent result rods Rule satisfy sides similar Solution Solve square root substituting subtract surd symbols third triangle twice units unknown weight wide width write WRITTEN EXERCISES zero

### 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.