First Year Algebra |
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a²b a²b² a²x² a³b ab² ab³ algebraic arithmetic ax² cents coefficient completing the square Construct the graph coördinates cost cube root denominator divided dollars equal EXERCISES expression Find the number Find the square Find the value fractional exponent given equation Hence highest common factor inches irrational length less lowest common multiple m²n m³n miles million MILNE'S 1ST YR monomial multiplied negative number perfect square polynomial pounds PROCESS proportion quadratic equations quadratic surd quotient radicand ratio real roots Reduce simple equations simplest form Simplify simultaneous equations SOLUTION Solve graphically Solve the equation square feet square root Substituting subtracted test each result Transposing trinomial twice units unknown number width x²y x²y² xy² xy³
Popular passages
Page 37 - 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. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Page 288 - If the product of two quantities is equal to the product of two others, one pair may be made the extremes, and the other pair the means, of a proportion.
Page 284 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 287 - ... a mean proportional between two numbers is equal to the square root of their product.
Page 211 - ... found, subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 290 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Page 129 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 287 - That is, in any proportion, either extreme is equal to the product of the means divided by the other extreme; and either mean is equal to the product of the extremes divided by the other mean.
Page 208 - Find the square root of the first term, write it as the first term of the root, and subtract its square from the given polynomial. Divide the first term of the remainder by...
Page 237 - An equation that, when simplified, contains the square of the unknown number, but no higher power, is called an equation of the second degree, or a quadratic equation.