A First Book in AlgebraCharles E. Merill Company, 1919 - 325 σελίδες |
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9 y² a²b a²x a²x² ab² abc2 added algebraic arithmetic average ax² binomial bushels butter fat cents certain number coefficient consecutive numbers contain cost cubic foot denominator denoted diagram dimes divided divisor equals example exceeds EXERCISE exponent expression Extract the square factors feet find a formula Find the dimensions Find the number find the value formula solve Exs fraction given grade graph Hence improper fraction inches knit length Let the pupil miles an hour monomial Multiply nearest hundredth negative number number increased number of square NUMBERS DEALT numbers whose sum parenthesis pounds pupil check quadratic equation quotient received rectangle result Simplify simultaneous equations Solve and check square root subtracted symbols temperature twice unknown quantity weight wide width x²y xy² yards
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Σελίδα 102 - ... the square of the second. _ Again, (a — by = (a — 5) (a — 5) = a2 — 2a6 + 52. (2) That is, 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.
Σελίδα 95 - Division is the process of finding one factor when the product and the other factor are given. The dividend is the product of the two factors, and hence it is the quantity to be divided by the given factor.
Σελίδα 213 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied by 2, and the fourth divided by 2, the sum, difference, product, and quotient so obtained, will be all equal to each other.
Σελίδα 243 - If the greater of two numbers is divided by the less, the quotient is 3 and the remainder 3, but if 3 times the greater be divided by 4 times the less, the quotient is 2 and the remainder 20.
Σελίδα 271 - Resolve the quantity under the radical sign into two factors, one of which is the highest perfect power of the same degree as the radical. Extract the required root of this factor, and prefix the result to the indicated root of the other.
Σελίδα 220 - In one of the given equations obtain the value of one of the unknown quantities in terms of the other unknown quantity; Substitute this value in the other equation and solve.
Σελίδα 303 - Degree of a Term; Homogeneous Expressions. The degree of a term is determined by the number of literal factors which the term contains. Hence, the degree of a term is equal to the sum of the exponents of the literal factors...
Σελίδα 134 - Make up and work an example, similar to Ex. 49, concerning a telegram sent at a 40-3 rate. 51. A talk over a long distance telephone at a 50-7 rate cost 85^. How many minutes did the talk last?
Σελίδα 279 - ... as will make the denominator a perfect power of the same degree as the radical, and then proceeding as in § 229.
Σελίδα 242 - A number consists of two digits whose sum is 13, and if 4 is subtracted from double the number, the order of the digits is reversed. Find the number. 58. The sum of the digits of a certain number of two figures is 5, and if 3 times the units' digit is added to the number, the order of the digits will be reversed..