An Elementary Algebra for Schools and Academies |
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Common terms and phrases
3d power 5th power a² b2 a²b a²b² a²c a²x a²x² a³b a³x ab² ab³ ac² added ALGEBRA arithmetical progression ax² ax³ Binomial Theo Binomial Theorem bushels cents Clearing of fractions coefficients common difference denominator digits Divide 12 divisor ELEMENTARY ALGEBRA equal EXAMPLES exponent Find a number Find the least find the values Find two numbers gallons geometrical progression Given Hence horse last term least common multiple Let x represent m²n miles monomial Multiply NOTE number of terms OPERATION polynomial postpaid pounds Price by mail PROBLEM quadratic equations quotient Raise ratio Reduce represent the number SECTION SOLUTION square root Subtract Theorem third Transposing twice unknown quantities x²y x²y² x²y³ x³y x³y³ xy² xy³
Popular passages
Page 112 - A man was hired 50 days on these conditions. — that, for every day he worked, he should receive $ '75, and, for every day he was idle, he should forfeit $ '25 ; at the expiration of the time, he received $ 27'50 ; how many days did he work...
Page 134 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 96 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first multiplied by the second, plus the square of the second.
Page 181 - Two persons, A and B, can perform a piece of work in 16 days. They work together for 4 days, when A being called off, B is left to finish it, which he does in 36 days more. In what time would each do it separately ? Ans. A in 24 and B in 48 days.
Page 96 - 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 206 - Divide the number 36 into 3 such parts, that ^ of the first, ^ of the second, and ^ of the third, shall be equal to each other.
Page 48 - Hence, The exponent of a letter in the product is equal to the sum of its exponents in the two factors. This is termed the Rule of the Exponents.
Page 132 - When necessary, reduce the fractions to their least common denominator. Subtract the numerator of the subtrahend, from the numerator of the minuend, and place the difference of the new numerators over the common denominator.
Page 97 - The sum of two numbers multiplied by their difference, is equal to the difference of their squares.