Math Final Vocabulary (AEH)
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the number of times a base is used as a factor of repeated multiplication
exponent

side opposite to the right angle in a right triangle
hypotenuse

a real number whose decimal form is nonterminating and non repeating that cannot be written as the ration of two integers
irrational number

a number that can be written as the ratio of 2 integers with a non zero denominator
rational number

either of the two shorter sides of a right triangle
legs

a theorem that relates the length of the sides of a right triangle.
a^{2+}b^{2}=c^{2}
pythagorean theorem

on of two equal factors of a nonnegative number
square root

the distance a number is from zero
absolute value

two numbers that when added together equal zero
additive inverse

a math sentence that contains an equal sign
equation

a math phrase involving at least one variable. Expressions can contain numbers and operation symbols
algebraic expression

a math sentence that contains greater than (or equal to), less than (or equal to) and equals
inequality

pairs of operations that undo each other.
Inverse Operation

monomials that have the same variable raised to the same power.
Like terms

an equation that can be written in the form ax+b=c
Linear Equation in One Variable

Two numbers that when multiplied together equal 1.
multiplicative inverse

the slope of a nonvertical ine is the ration of the rise to the run between any two points on the line
slope

two or more equations that together define a relationship between variables.
system of equations

the collection of a ll items not in a swet
compliment of a set

a member or item in a set
element

a rule of matching elements of two sets of numbers in which an input value fromt the first set has only one output value in the second set
function

the set of all elements contained in all of the iven sets
intersection of sets

a subset that does not contain every element of the parent set
null set

a rule that gives an output number for every valid input number
relation

a collection of number, geometric figures, letters, or other objets that have some charecteristic in common.
set

the set of all elements that belong to at least one of the given two or more sets
union

the principle that uses multiplication to find the number of ways two or more events can occur.
the counting principle

the outcomes for a specified event.
favorable outcomes

to occurence of one eent does not affect the probablility of the occurence of the other event
independent events

the possible results of an expierent.
outcomes

the likleyniss that an event occurs
probablility

all possible outcomes of a given experiment
sample space

a tree shaped diagram that illustantes sequentially the possible outcomes for a given event
tree diagram

another name for the possible values of x
domain

set of all points in a coordinate plane that represent all the solutions of the equation
graph

when an equation is solved in the form y =mx+b
intercept

in a funtion, the possible values for y
range



a system of linear equation consists of two or more linear equation with the same variables
system

a variable is a quantity that changes or that can have different values
variable

formend when a third line crosses two other lines. these angles are on opposite sides of the transversal and are in between the other two lines
alternate interior angles

formend when a third line crosses two other lines. these angles are on opposite sides of the transversal and are in the outside of the other two lines
alternate extior angles

two angles whose sum is 90 degrees
complementary angles

having the same size, shape, and meausre
congruent

angles that have the same relative postions in geometric figures
corresponding angles

the propertyh of a polygon whose angles are all congruent
equilateral

two lines are this if they lie in the same plane and they do not intersect
parallel lines

two angles whose sum is 180 degrees
supplementary angles

a line that crosses two or more lines
transversal

two nonadjacent angles formed by intersection lines or segments. Also called opposite angles
vertical angles.

changing the grouping of the nubmers in a sum does not change the sum
associative property of addition

changing the grouping of the numbers in a product does not change the product
associative property of multiplication

in a sum, you can add the numbers in any order
commutuative property of addition

in a product, you can mulitply the numbers in any order
commutative property of multiplication

a(b+c) = ab+bc
distributive property

adding the same number to each side of an equation productes an equivalent equation
addition property of equality

multiplying both sides of an equationby the same numbrer produces an eqivalent expression
multiplication property of equality