## New Elementary Algebra Embracing the First Principles of the Science |

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22 cents a²b² ab² ab³ algebraic algebraic quantities arithmetical arithmetical means binomial bought Charles coefficient common difference Completing the square contains cost cube root denominator denote the number distance traveled divided dividend division dollars equal number equal to 12 equation whose roots Exercises exponent expression Extracting the square factors Find the L. C. M. Find the square following rule Formula Geography given number greatest common divisor Hence we write inequality John last term least common multiple lemons Let x denote logarithm miles minuend minus monomial multiplied negative nth root number added number of apples number of oranges number of terms paid perfect square polynomial progression proportion quotient ratio reduced remainder result second degree second member second term square root Substituting this value subtract Transposing trinomial twice unknown quantity VERIFICATION

### Popular passages

Page 266 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.

Page 60 - ... the first term of the quotient ; multiply the divisor by this term and subtract the product from the dividend. II. Then divide the first term of the remainder by the first term of the divisor...

Page 60 - 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 124 - Two numbers have the following properties : if the first be multiplied by 6, the product will be equal to the second multiplied by 5...

Page 263 - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.

Page 159 - The square root of a number is one of its two equal factors. Thus, 6 x 6 = 36 : therefore 6 is the square root of 36. The symbol for the square root is V or the fractional exponent £. Thus, -\/a, or a , indicates the square root of a, or that one of the two equal factors of a is to be found.

Page 237 - A merchant bought cloth for which he paid £33 15s., which he sold again at £2 8s. per piece, and gained by the bargain as much as one piece cost him : how many pieces did he buy ? Ans.

Page 107 - A fish was caught whose tail weighed 9Z6. ; his head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together : what was the weight of the fish?

Page 59 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.

Page 266 - AC and by clearing the equation of fractions we have BO=AD; that is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means.