Academic Algebra |
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Common terms and phrases
a²b a²b² a³b ab² ab³ added algebraic expression antilog arithmetic series ax² binomial Check clear of fractions coefficient COLOGARITHMS complete the square cube root denominator digits Divide division 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 logarithm lowest common multiple means monomial multiplying negative numbers nth root polynomial positive integers quadratic equation quotient reduces remainder Required the number result Simplify solution Solve the equation Solve the following Solve the system square root Substituting subtracted surds symbols system of equations Theorem unknown quantities x²y x²y² x³y xy² xy³
Popular passages
Page 370 - 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 250 - The square on the hypotenuse equals the sum of the squares on the other two sides.
Page 168 - If the sum of two numbers is s and their difference is d, find the numbers.
Page 54 - 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 321 - 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 90 - 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 193 - 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 340 - Progression (AP), is a series in which each term, after the first, is formed by adding a constant number to the preceding term.
Page 345 - ... 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.
Page 10 - 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.