Elementary Algebra |
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a²b² ab² added algebraic expressions altitude arithmetic ax² binomial called Check coefficient common factor common multiple commutative law complete the square cube denominator difference digit in tens divided dividend division divisor EXERCISES Find exponent feet Find the numbers Find the square Find the value following equations formula fraction gain given number Hence hypotenuse illustrate Principle integers Johann Widmann length letters miles per hour minuend minus monomial multiplied negative numbers number equals obtained Perform the following polynomial positive and negative positive numbers quadratic equation quotient rational rectangle remainder represent result rods Rule satisfy side signed numbers Simplify Solution Solve the equation Solve the following square root substituting subtract subtrahend surd symbols theorem twice unknown width write x²y xy² zero
Popular passages
Page 333 - A and B working together can do a piece of work in 12 days.
Page 243 - 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 276 - 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 106 - 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 149 - 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 107 - 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 323 - 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 289 - The second value is in this case not to be taken, for it is inadequate; people do not approve of negative roots.
Page 187 - In any proportion, the product of the means equals the product of the extremes.