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the number of times a base is used as a factor of repeated multiplication
exponent
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side opposite to the right angle in a right triangle
hypotenuse
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a real number whose decimal form is non-terminating and non repeating that cannot be written as the ration of two integers
irrational number
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a number that can be written as the ratio of 2 integers with a non zero denominator
rational number
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either of the two shorter sides of a right triangle
legs
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a theorem that relates the length of the sides of a right triangle.
a2+b2=c2
pythagorean theorem
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on of two equal factors of a nonnegative number
square root
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the distance a number is from zero
absolute value
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two numbers that when added together equal zero
additive inverse
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a math sentence that contains an equal sign
equation
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a math phrase involving at least one variable. Expressions can contain numbers and operation symbols
algebraic expression
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a math sentence that contains greater than (or equal to), less than (or equal to) and equals
inequality
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pairs of operations that undo each other.
Inverse Operation
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monomials that have the same variable raised to the same power.
Like terms
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an equation that can be written in the form ax+b=c
Linear Equation in One Variable
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Two numbers that when multiplied together equal 1.
multiplicative inverse
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the slope of a nonvertical ine is the ration of the rise to the run between any two points on the line
slope
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two or more equations that together define a relationship between variables.
system of equations
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the collection of a ll items not in a swet
compliment of a set
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a member or item in a set
element
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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
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the set of all elements contained in all of the iven sets
intersection of sets
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a subset that does not contain every element of the parent set
null set
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a rule that gives an output number for every valid input number
relation
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a collection of number, geometric figures, letters, or other objets that have some charecteristic in common.
set
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the set of all elements that belong to at least one of the given two or more sets
union
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the principle that uses multiplication to find the number of ways two or more events can occur.
the counting principle
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the outcomes for a specified event.
favorable outcomes
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to occurence of one eent does not affect the probablility of the occurence of the other event
independent events
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the possible results of an expierent.
outcomes
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the likley-niss that an event occurs
probablility
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all possible outcomes of a given experiment
sample space
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a tree shaped diagram that illustantes sequentially the possible outcomes for a given event
tree diagram
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another name for the possible values of x
domain
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set of all points in a coordinate plane that represent all the solutions of the equation
graph
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when an equation is solved in the form y =mx+b
intercept
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in a funtion, the possible values for y
range
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-
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a system of linear equation consists of two or more linear equation with the same variables
system
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a variable is a quantity that changes or that can have different values
variable
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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
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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
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two angles whose sum is 90 degrees
complementary angles
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having the same size, shape, and meausre
congruent
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angles that have the same relative postions in geometric figures
corresponding angles
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the propertyh of a polygon whose angles are all congruent
equilateral
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two lines are this if they lie in the same plane and they do not intersect
parallel lines
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two angles whose sum is 180 degrees
supplementary angles
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a line that crosses two or more lines
transversal
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two nonadjacent angles formed by intersection lines or segments. Also called opposite angles
vertical angles.
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changing the grouping of the nubmers in a sum does not change the sum
associative property of addition
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changing the grouping of the numbers in a product does not change the product
associative property of multiplication
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in a sum, you can add the numbers in any order
commutuative property of addition
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in a product, you can mulitply the numbers in any order
commutative property of multiplication
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a(b+c) = ab+bc
distributive property
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adding the same number to each side of an equation productes an equivalent equation
addition property of equality
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multiplying both sides of an equationby the same numbrer produces an eqivalent expression
multiplication property of equality
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