## An Elementary Algebra for Schools and Academies, by Joseph W. Wilson |

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### Contents

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### Common terms and phrases

3d power 5th power a²b² a²x a²x² ab² added algebra amount arithmetical ax² Binomial called cents changed coefficients Collect contain cost cube denominator digits Divide division elimination equal equation Examination Papers examples EXPLANATION exponent expression factors feet Find the numbers find the values four fourth fraction geometrical give Given greater Hence horse hour less letter means miles monomial Multiply NOTE obtain OPERATION polynomial pounds PROBLEM progression proportion question quotient radical Raise ratio receive Reduce Regents State Examination remainder represent Required result share SOLUTION square root stand Subtract taken term Theorem third Transposing twice unknown quantities weight whole worth write x²y York Regents

### 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 231 - 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 206 - Prob. 48. 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 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 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.

Page 47 - DECIMALS. 1. Multiply 2. Multiply 3. Multiply 4. Multiply 5. Multiply 6. Multiply 7. Multiply 8. Multiply T^T by 9.