Elements of Algebra: With Exercises |
Contents
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Common terms and phrases
a₁ a²b a²b² a²x a²x² a³b ab² absolute value arithmetical means arithmetical progression assigned number ax² binomial coefficient Commutative Law continued fraction convergent courier cube root definition denominator derived equation digits divided divisor dollars equivalent example illustrates EXERCISES exponent Find the values following expressions following principle given equation given system greater illustrates the following inequality integral equation irrational number less logarithm m₁ monomial multinomial multiplied negative number number or expression obtained parentheses positive integers positive number positive units powers preceding principal root problem quadratic quadratic equation r₁ radicand rational number reduced remainder required numbers result Simplify solution Solve the equation square root Substituting summands surds symbolically unknown number whence wherein x²y xy² yards
Popular passages
Page 214 - AB 1 and 2 3 and 4 5 and 6 7 and 8 9 and 10 11 and 12 13 and...
Page 476 - The logarithm of any root of a number- is equal to the logarithm of the number divided by the index of the root. For the investigations of these rules the student is referred to the " Treatise on Trigonometry,
Page 78 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Page 111 - ... term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Page 69 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Page 476 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 425 - As the body falls, the distance d and the time s are variables, and 16 is a constant. Again, time measured from a past date is a variable, while time measured between two fixed dates is a constant. 2. The constants in a mathematical investigation are, as a rule, general numbers, and are represented by the first letters of the alphabet, a, b, c, etc. ; variables are usually represented by the last letters, x, y, z, etc.
Page 370 - One quantity is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus...
Page 386 - A geometric progression is a sequence in which each term after the first is formed by multiplying the preceding term by a fixed number, called the common ratio.