American book Company, 1917 - Algebra - 503 pages
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added addition algebraic angle answer arithmetical Arrange base binomial cents coefficient common complete containing correct cost definition denominator difference distance Divide division divisor dollars eliminate equal equation examples EXERCISE exponents expression factors feet figures Find the numbers Find the value formula four fraction given gives graph inches increased indicated integral length less Let the student letter logarithm means method miles an hour monomial Multiply Note obtained operations ORAL EXERCISE original polynomial positive pounds problem proportion quadratic equation quotient radical ratio rectangle Reduce remainder represent respect result rule satisfy Show sides Simplify SOLUTION Solve Solve the following square root Substituting Subtract third tion triangle twice units unknown number Write
Page 225 - If the product of two numbers is equal to the product of two other numbers, either two may be made the means, and the other two the extremes of a proportion.
Page 281 - Then divide the first term of the remainder by the first term of the divisor...
Page 222 - In any proportion, the product of the means is equal to the product of the extremes.
Page 231 - 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 226 - If four quantities are in proportion, they are in proportion by inversion; that is, the second term is to the first as the fourth is to the third.
Page 454 - The logarithm of a number is the exponent of the power to which a fixed number, called the base, must be raised in order to produce the given number.
Page 97 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.
Page 226 - In any proportion the terms are in proportion by Alternation ; that is, the first term is to the third as the second term is to the fourth.
Page 457 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 83 - The product of two binomials having a common term equals the square of the common term plus the product of the common term by the sum of the other terms, plus the product of the other terms.