First Year Algebra |
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Common terms and phrases
a²b a²b² a²x² a³b ab+b² ab² ab³ algebraic arithmetic ax² binomial cents changing the sign coefficient common factor completing the square Construct the graph coördinates cost digit divided divisor dollars equal EXERCISES expression Find the number Find the square Find the value fractional exponent given equation Hence highest common factor hour inches lowest terms method miles MILNE'S 1ST YR monomial multiplied negative numbers points polynomial pounds PROCESS proportion quadratic equations quadratic surd quotient radical radicand ratio Reduce simple equations simplest form Simplify simultaneous equations SOLUTION Solve graphically Solve the equation square feet square root Substituting subtract surd test each result Transposing trinomial twice units unknown number weight 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 211 - ... found, subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 284 - The first term of a ratio is called the antecedent, and the second term the consequent.
Page 69 - The square of the sum of two numbers is equal to the square \ (¿ of the first, plus twice the product of the first and second, plus the J square of the second.
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 287 - ... a mean proportional between two numbers is equal to the square root of their product.
Page 129 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 211 - Find the greatest square in the left-hand period and write its root for the first figure of the required root. Square this root, subtract the result from the left-hand period, and annex to the remainder the next period for a new dividend.
Page 200 - The coefficient of any term may be found by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing this product by the number of the term.
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.