## Elements of Algebra for Beginners |

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### Common terms and phrases

a²b a²b² a³b ab² Adding arithmetical cents coefficient common contains correction cost cube root denominator difference Divide divisor equals equations EXAMPLES Expand exponent expression Factor feet figures Find the H. C. D. Find the numbers Find the sum Find the value following equations following RULE fraction Given gives Hence horse increased last term lowest common m²n² method miles Multiply negative nth term number of terms oranges Page periods polynomial positive pounds powers PRINCIPLE PROBLEMS progression quantity quotient Reduce remainder represent result rods second term Show signs smaller Solve Solve the equations Solve the following square root Substituting subtract third twice unknown quantities wheels x²y x²y² xy²

### 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.