Academic Algebra |
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Common terms and phrases
a²b a²b² a²x² a³b ab² ab³ added algebraic expressions am)n antilog arithmetic series ax² binomial Check coefficient COLOGARITHMS complete the square cube root denominator digits Divide expressions in Exs Extract the square Find a number Find the number Find the value following expressions fractional exponents geometric series given Hence highest common factor ILLUSTRATIVE PROBLEMS integral letters logarithm means monomial multiplying negative numbers nth power nth root polynomial positive integers prove quadratic equation quotient Reduce Required the number result Simplify solution Solve the equation Solve the following Solve the system square root Substituting subtracted surds symbols systems of equations Theorem unknown quantities Va² x²y x²y² x³y xy²
Popular passages
Page 242 - The square on the hypotenuse equals the sum of the squares on the other two sides.
Page 336 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Page 50 - A polynomial is said to be arranged according to the powers of some letter when the exponents of that letter either descend or ascend in order of magnitude.
Page 323 - II. The logarithm of the quotient of two numbers equals the logarithm of the dividend minus the logarithm of the divisor.
Page 86 - To solve an equation is to find the value of the unknown quantity; or, to find a number which, being substituted for the unknown quantity, will render the two members identical.
Page 189 - TJie coefficient of any term after the second is obtained by multiplying the coefficient of the preceding term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Page 306 - Progression (AP), is a series in which each term, after the first, is formed by adding a constant number to the preceding term.
Page 287 - If equals are added to equals, the sums are equal. 3. If equals are subtracted from equals, the remainders are equal. 4. If equals are added to unequals, the sums are unequal in the same sense.
Page 6 - 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.
Page 311 - ... interest annually on the first of each January for 10 yrs., at 6 %. Find the total amount of principals and interest at the end of 10 yrs.