Standard Algebra |
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a²b a²b² a²x² a³b ab² algebraic arithmetical arithmetical means ax² binomial cents coefficient complete divisor completing the square cost cube root denominator digits divided dividend EXERCISES Additional exercises exercises are given exponent expression Extracting the square Find its dimensions Find the number Find the sum Find the value formula fraction geometrical geometrical progression given equation Hence highest common factor hour inches integers length less logarithm mantissa miles MILNE'S STAND monomial multiplied negative number polynomial positive number pounds PRINCIPLE PROCESS proportion quadratic equation quadratic surd quotient radical ratio Reduce Simplify SOLUTION Solve the equation square root Substituting subtract surd Transposing trial divisor trinomial twice units unknown number weight width x²y x²y² xy² xy³
Popular passages
Page 71 - 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 205 - 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 368 - ... a mean proportional between two numbers is equal to the square root of their product.
Page 123 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Page 166 - Hence, to the nearest inch, the diameter is 62 inches. 2. Area of a triangle = £ (base x altitude), or Solve for b, then find the base of a triangle whose area is 600 square feet and altitude 40 feet. 3. The area of a trapezoid is equal to. the product of the altitude and half the sum of the bases ; that is, The bases are 6 and b'. b' is read
Page 213 - 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 356 - Two or more inequalities are said to subsist in the same sense when the first member is the greater or the less in both. Thus, a > b and c> d subsist in the same sense.
Page 217 - ... subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Page 367 - The first and fourth terms of a proportion are called the extremes, and the second and third terms, the means. Thus, in the foregoing proportion, 8 and 3 are the extremes and 4 and 6 are the means.
Page 35 - 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.