## An Introduction to Algebra Upon the Inductive Method of Instruction |

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### Contents

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### Common terms and phrases

3d power added amount answer apiece appears apples approximate becomes bought breadth bushels called cents changed coefficient compound consisting contain decimal denominator difference divided dividend division divisor dollars equal equation example exponent expressed factor field figure five formula four fourth fraction gain gallons given gives greater half Hence horse interest known learner length less letter logarithm manner miles multiplied negative observe obtained operations paid performed persons positive principle proportion quantity question quotient raised received reduced remainder result rods rule second power share sheep shillings shows sold solve square subtracted Suppose taken tens third power third root twice units unknown quantity whole whole number worth write written yards zero

### Popular passages

Page 92 - It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered...

Page 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...

Page 233 - RULE. Multiply the sum of the two extremes by half the number of terms, or multiply...

Page 234 - The sum of all the terms. Any three of which being given, the other two may be found.

Page 97 - Hence, to divide a fraction by a fraction, multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor.

Page 96 - To divide a whole number by a fraction, — Multiply the dividend by the denominator of the fraction, and divide the product by the numerator.

Page 35 - ... dollars. How many days did he work, and how many days was he idle ? Ans.

Page 86 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.

Page 149 - ... square feet more than it would, if it were only equal to the breadth. Required the length and breadth of the room. 12. There is a rectangular field, whose length is to its breadth in the proportion of 6 to 5. A part of this, equal to | of the whole, being planted, there remain for ploughing 625 square yards. What are the dimensions of the field r 13.

Page 276 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the...