# Elements of Algebra for Beginners

American Book Company, 1904 - Algebra - 159 pages
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### Contents

 ALGEBRAIC EXPRESSIONS 14 MULTIPLICATION 30 SIMULTANEOUS EQUATIONS 36 SPECIAL DIVISION OF BINOMIALS 45 Monomials 53 HIGHEST COMMON DIVISOR 60 CLEARING EQUATIONS OF FRACTIONS 71 MULTIPLICATION 78
 Definitions and Principles 101 PURE QUADRATICS 114 QUADRATIC EQUATIONS CONTAINING TWO UNKNOWN QUANTITIES 121 GEOMETRICAL PROGRESSION 129 COMPOSITION AND FACTORING 136 PROGRESSIONS 144 9 145 71 151

### Popular passages

Page 50 - 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 43 - 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.
Page 30 - Algebra, is the process of taking one quantity as many times as there are units in another quantity.
Page 34 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Page 121 - The sum of all the terms. Any three of which being given, the other two may be found.
Page 139 - The fore wheel of a carriage makes 6 revolutions more than the hind wheel in going 120 yards ; but if the periphery of each wheel be increased one yard, it will make only 4 revolutions more than the hind wheel in the same space.
Page 65 - To reduce a fraction to its lowest terms. A Fraction is in its lowest terms when the numerator and denominator are prime to each other. 1. Reduce - to its lowest terms.
Page 40 - The Dividend is the quantity to be divided. The Divisor is the quantity by which we divide. The Quotient is the result, •which shows how many times the divisor is contained in the dividend.
Page 104 - Add to this trial divisor three times the product of the first and second terms of the root, and the square of the second term.
Page 98 - The exponent of a in the first term is the same as the exponent of the binomial, and decreases by 1 in each succeeding term.