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# Algebra Glossary - I a|b|c|d|e|f|g|h|i|l|m|n|o|p|q|r|s|t|u|v|w|x|y|z

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# identity:

An equation that is true for all elements of its domain.

# identity element:

A number which added to or multiplied times any number in a set yields that same number in the set.

# identity properties:

There are real numbers 0 and I such that for each real number a, a + 0, 0 + a = a and a x 1 = 1 x a = a.

# imaginary number:

A complex number that is not real.

# inconsistent system of equations:

A system with no soiution.

# increasing function:

A function such that for any numbers a and b in the domain. if a > b, then f(a) > f(b).

# independent events:

Two events not affected by each other. Two events A and B are independent if and only if P(A and then B) P(A) x P(B).

# independent variable:

If the value of a depends upon the value of b, or if a is usually defined in terms of b, b is called the independent variable, and it is graphed on the horizontal axis.

# index:

The number represented by n in nÖb.

# index of summation:

The variable used in sigma notation.

# infinite geometric series:

A geometric series with an infinitely large number of terms.

# infinite sequence:

A sequence that does not have a last term.

# interquartile range:

The difference between the upper and lower quartiles of a set of numbers.

# inverse functions:

Functions and g are inverse functions if and only if f(g(x)) = g(f(x)) =x for all numbers x in the domains of both f and 9.

# inverse of a relation:

Relation B is the inverse of relation A if it consists of the inverses of the individual ordered pairs in relation A.

# inverse variation:

Two quantities x and y vary inversely if and only if there is a constant k.  k ¹ 0, such thatY = K/X.

# irrational number:

A real number that is not a rational number, i.e. cannot be expressed as the quotient of two integers.

Note: The terms in this collection may not be entirely accurate.
They are for reference only.