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added addition algebra arithmetical binomial called cents changed Check coefficient Combining common complete constant contains cost cube denominator difference digits divided dividend division divisor dollars equal Evaluate evident EXERCISE exponent expression factors Find the numbers formula four fraction geometric give given graph greater Hence highest identity ILLUSTRATIVE EXAMPLES indicated integers less letters linear equations literal lowest means method monomial Multiply namely Note obtained operations polynomial positive possible pound principal progression proportion quadratic equation quotient radical rational Reduce remainder Remark represented respect result Rule satisfy Show sight simple Simplify Solution Solve Solve the equation Solve the system square root stands Substituting subtracted Suggestion surd symbols third tion trinomial twice units unknown number Write written zero
Page 241 - The first and fourth terms of a proportion are called the extremes; and the second and third terms the means. Thus, in the proportion a : b = с : d, a and d are the extremes, and b and с the means.
Page 244 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 240 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 173 - Multiply the numerators together for the numerator of the product, and the denominators together for the denominator of the product.
Page 112 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Page 61 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Page 158 - Both terms of a fraction may be divided by the same number without changing the value of the fraction.
Page 68 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (Sab — 12ac) -i- 4a = 36 — 3c.