|Identity||An equation that is true for every value of the variable||Always true||x + 1 = 1 + x|
|Identity Property of Addition||The sum of any number and zero is that number||Anything + 0 = Itself||a + 0 = a|
|Identity Property of Multiplication||The product of any number and one is that number||Anything x 1 = Itself||a • 1 = a|
|Image||The position of a figure after a transformation.|
|Imaginary Number||A number of the form a + bi, where i is the square root of -1 and i2 = -1||√(-4) = 2i|
|Impossible Event||In probability, an event that never happens||Getting 4¼ when you roll one dice is impossible|
|Improper fraction||A fraction where the numerator is larger than the denominator. In arithmetic, you are trained to change these to a mixed number. In Algebra, you should leave it alone.||
|Incenter||The point in a triangle where the angle bisectors of the triangle intersect. Click here for an animated example of the incenter.|
|Independent Events||In probability, when the outcome of one event does not affect the outcome of a second event, the events are independent|
|Independent Variable||A variable that does not depend on another variable||The input variable||For y = x + 3
x is independent
|Inductive Reasoning||A method used to reach conclusions based on an observed pattern.||For the pattern 2, 4, 6, 8 you can induce that since they are all even numbers, the next number must be 10|
|Inequality||One expression that is not equal to another||x > 7 means x is greater than 7
-2 < x means negative 2 is less than x
4 < x means x is 4 or bigger
|Infinity||The concept of something that never ends - infinity is not a number||∞|
|Integer||The whole numbers and their opposites||... - 3, -2, -1, 0, 1, 2, 3, ...|
|Integral ∫||In Calculus, the area between the graph of a line and the x-axis. The process of finding the integral is called integration|
|Intersect||Lines intersect when they cross. The point where they cross is called the intersection.|
|Interval||A portion of the real number line that may or may not include the end points. The ends of the interval are called the boundaries.|
|Interval notation||A short way to define an interval. Brackets [ or ] are used
if the end point is part of the interval. Parentheses ( or ) means the
end point is not included in the interval.
For ∞ and - ∞, always use parentheses.
|[3, 5) means
3 < x < 5
|Inverse Operation||Operations that undo each other - they are opposite operations||addition and subtraction are inverses
multiplication and division are inverses
squares and square roots are inverses
|Inverse Variation||A function that can be written in the form xy = k or y = k/x||As one variable gets bigger, the other gets smaller|
|Irrational number||A number that cannot be written as a fraction.||A decimal that does not truncate (end) or repeat.||π = 3.14159...
√7 = 2.6457...
|Isometric drawing||The drawing of a three-dimensional object that shows the corners.|
|Isosceles trapezoid||A trapezoid whose nonparallel sides are congruent.
The top and bottom are parallel, the sides are the same size, and the diagonals are equal.
|Isosceles triangle||A triangle where at least two sides are congruent||Two or more sides equal|
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Last Updated: 6/26/2014
© K. A. Shearer 2005-2014
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