## The Model Algebra: Arranged for Elementary Schools |

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12 cents 50 cents absolute value added afyV algebraic notation algebraic sum binomial factors bought Bx bx Bx cents a pound changed coefficient connects the terms cost cube decreased difference divided divisor dollars earned equation examples Explanation Explanation.—The exponent feet Find the algebraic find the numerical Find the sum four fraction Frank Fred given quantities Harry Hence highest common factor Illustrative Example.-Find inches indicated kind of quantity less letter lowest common denominator lowest common multiple lowest terms marbles Mary miles an hour minuend minus monomial multiplicand multiplied negative number negative quantity newsboy number increased number of units number or quantity numerical value one-half Operation paid parenthesis partial product pigeons positive quantity prime factors quan quantity or term quarts second member second term sign connects sold square substitute the value subtract subtrahend taken tity trinomial twice units expressed yards

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Page 91 - Since the square of a binomial is equal to the square of the first term, plus twice the product of the first term by the second, plus the square of the second...

Page 118 - The square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.

Page 91 - The square of the sum of two terms is the square of the first term plus twice the product of the two terms plus the square of the second term.

Page 103 - Then divide the first term of the remainder by the first term of the divisor, for the second term of the quotient ; multiply the divisor by this second term, and subtract the product from tht result of the first operation.

Page 27 - If we substitute this value for x in the equation we shall have 8+2x8=8+16 = 24. which proves that 8 is the true answer. 64. An equation involving only the first power of the unknown quantity, is called an equation of the first degree. Thus, 6x+3x— 5= 13, and ax-\-bx-\-c = d, are equations of the first degree.

Page 118 - ... square of the first quantity, minus the product of the two quantities, plus the square of the second quantity; also The difference of the cubes of two quantities is divisible by the difference of the quantities, and the quotient is the square of the first quantity, plus the product of the two quantities, plus the square of the second.

Page 129 - To reduce two or more fractions to a common denominator. A Common Denominator is a denominator common to two or more fractions 1. Reduce ? and 7, to a common denominator.

Page 77 - Both members of an equation may be multiplied, or divided, by the same number, without destroying the equality.

Page 101 - Rule. — 1. The first term of the product is the product of the first terms of the binomials.

Page 12 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.