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

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added addition algebraic amount arithmetical becomes binomial called cents changing clearing coefficient common composed consequent considered contain cube denominator denote difference Divide dividend division divisor dollars double elimination entire enunciation equal equation EXAMPLES exponent expression extracting the square factors figure Find the square Find the values four fourth fraction Given gives greater half Hence horse interest involving John known leaps less letter logarithm means method monomial multiplied negative number of terms obtain operations ounces perfect square periods person polynomial positive pound progression proportion question quotient radical ratio received Reduce remainder represent result second degree second term similar simplest form square root Substituting subtract taken tens term third tion transposing twice units unknown quantity values of x Verification whence write yards

### Popular passages

Page 135 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.

Page 234 - 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 230 - 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 231 - Quantities are said to be in proportion by composition, when the sum of the antecedent and consequent is compared either with antecedent or consequent.

Page 145 - It is founded on the following principle. The square root of the product of two or more factors, is equal to the product of the square roots of those factors.

Page 38 - Divide the coefficient of the dividend by the coefficient of the divisor.

Page 137 - Find the greatest square in the first- period on the left, and place its root on the right after the manner of a quotient in division. Subtract the square of the root from the first period, and to the remainder bring down the second period for a dividend.

Page 141 - ... equal to the square root of the numerator divided by the square root of the denominator.

Page 116 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans. A 14JA days, B 17fa, and C 23JT.

Page 56 - To add fractional quantities together. RULE. Reduce the fractions, if necessary, to a common denominator ; then add the numerators together, and place their sum over the common denominator.