## Elements of Algebra |

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added algebraic amount arithmetical arranged becomes called cent chance changed coefficient common factor consisting contains cube denominator denote digits divided divisible divisor dollars double drawing drawn elements equal equation event example EXERCISE exponent expression factors feet figures Find Find the number five four fourth fraction given gives greater happen Hence hour increased integral interest less letters logarithm means method miles Multiply negative obtained person positive pounds quotient ratio Reduce remainder represent respectively result Rule selected side Simplify solution Solve square root Subtract surd taken term things third throw twice units unknown quantity vowels weight white ball whole wins Write written yards

### Popular passages

Page 49 - 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 170 - He finds he can row 2 miles against the stream in the same time he can row 3 miles with it. Find the time of his rowing down and of his rowing up the stream ; and also the rate of the stream. NOTE IV. When commodities are mixed, it is to be observed that the quantity of the mixture = the quantity of the ingredients; the cost of the mixture = the cost of the ingredients. Ex. A wine-merchant has two kinds of wine, which cost 72 cents and 40 cents a quart respectively. How much of each must he take...

Page 285 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.

Page 263 - III. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.

Page 168 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...

Page 28 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.

Page 4 - Find two numbers such that when the greater is divided by the less the quotient is 4 and the remainder 3, and when the sum of the two numbers is increased by 38 and the •result divided by the greater of the two numbers the quotient is 2 and the remainder 2.

Page 296 - Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter.

Page 215 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.

Page 104 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.