First Year in Algebra |
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9 a² a+b+c a²b a²b² ab² ac² added algebraic expressions arithmetical series changed coefficients common denominator complete quotient consecutive numbers cross-products cubes difference dividend and divisor division equal equivalent fractions Exercise exponent Find the H. C. F. Find the numbers Find the value formula given expressions Hence Illustration improper fraction inclosed indicated larger number last term literal factors lowest terms middle term miles minuend minus sign mixed expression monomial number is divided number of terms numerator and denominator obtain original number parenthesis preceded partial products polynomial pounds powers present age principles problem quotient remainder resulting fraction second term Simplify simultaneous equations smaller number square roots square terms Substituting Subtract subtrahend tank holds twice as old unknown quantity Write x²+1
Popular passages
Page 49 - Algebra, is the process of finding one of two factors, when their product and the other factor are given.
Page 162 - To multiply a fraction by a fraction. Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 55 - Divide the first term of the dividend by the first term of the divisor.
Page 62 - AXIOMS. 1. If equals are added to equals, the sums are equal. 2. If equals are subtracted from equals, the remainders are equal. 3. If equals are multiplied by equals, the products are equal. 4. If equals are divided by equals, the quotients are equal. 5.
Page 95 - 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.
Page 145 - To reduce a fraction to its lowest terms. A fraction is in its lowest terms when the numerator and denominator have no common factor.
Page 64 - Similarly, any term may be transposed from one member of an equation to the other by changing its sign.
Page 105 - ... the square of the first quantity, minus the product of the two, plus the square of the second.