Introduction to Algebra: Designed for Use in Our Public Schools ... and for Preparatory Departments of Colleges |
Other editions - View all
Common terms and phrases
added Affected Quadratic aggregate Algebra answer arithmetic AXIOM binomial change the signs change the value clearing of fractions common denominator common divisor common factors Completed Square Completing the square cost cows cube destroy the equation difference dividend division divisor dollars per yard eliminate Eliza equa equal factors examples expressed Extract the square find the value frac give given Hence integer integral less letter literal notation lowest common multiple lowest terms means minuend monomial multiplicand Multiply negative number of yards numerator and denominator parenthesis polynomial preceding set problem Prod pupil Quadratic Equation quotient ratio Reduce remainder Resolve result second member SECTION sheep similar radicals similar terms SIMPLE EQUATIONS square root substituting subtract subtrahend Suggestion.-Let taken terms containing tion Transposing true proportion twice UNIVERSITY ALGEBRA unknown quantity whence write x minus
Popular passages
Page 39 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 69 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator.
Page 193 - EXTRACT THE SQUARE ROOT OF EACH MEMBER, THUS PRODUCING A SIMPLE EQUATION FROM WHICH THE VALUE OF THE UNKNOWN QUANTITY IS FOUND BY SIMPLE TRANSPOSITION.
Page 201 - Two travellers, A and B, set out to meet each other, A leaving the town C at the same time that B left D.
Page 216 - Some exceedingly interesting and important subjects are fully treated, which, in other books of a similar character, are either barely hinted at or are entirely omitted. 8th. These works are not mere compilations, but have the stamp of originality, differing in some essential points from all other works of their class. 9th. In beauty and clearness of style, which are qualities of no small importance in books for instruction, they will rank as models.
Page 205 - ... subtracted from a father's age, the remainder will be thrice the age of the son ; and if 1 be taken from the son's age, half the remainder will be the square root of the father's age. Required the age of each. Ans. 49 and 15 yrs.
Page 216 - ... the larger one. 6th. In the larger work the science of Physiology is brought out as it now is, with its recent important discoveries. 7th. Some exceedingly interesting and important subjects are fully treated, which, in other books of a similar character, are either barely hinted at or are entirely omitted.
Page 85 - C as of A. How much of A is there ? How much of each of the other kinds ? Ans., of A, 20 Ibs.; of B, 140 Ibs.; of C, 40 Ibs.