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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 deicmal form is non-terminating and non-repeateing that cannot be written as the ratio of two integers
irrational number
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a number that can be written as the ratio of two integers with a nonzero denominator
rational
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either of the two shorter sides of a right triangle; the two legs form the right angle of the triangle
leg
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a theorem that relates the lengths of the sides of a right triangle. The sum of the squares of the lengths of a right triangle equals the square of the length of the hypotenuse
Pythagorean theorem
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one of two equal factors of a nonnegative number
square root
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the distance a number is from zero on the number line. Example: |-4|=4 and |3|=3
absolute value
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two numbers that when added together equal 0. Example: 3.2+(-3.2)=0
additive inverse
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a mathematical sentence that contains an equals sign
equation
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A mathematical phrase involving at least one variable. Expressions can contain numbers and operation symbols.
algebraic expression
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a mathematical sentence that contains the symbols >, <, >, or <.
inequality
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Pairs of operations that undo each other; Examples: Addition and subraction and multiplication and division.
inverse operation
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monomials that have the same variable raised to the same power. In other words, only coefficients of terms can be different. Example: 3x3 and 18x3
like terms
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an equation that can be written in the form ax+b=c where a, b, and c are real numbers and a is not equal to 0.
linear equation in one variable
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two numbers that when multiplied together equal 1. Example: 4 and 1/4
multiplicative inverse
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the ________ of a nonvertical line is the ratio of the rise (vertical change) to the run (horizontal change) between any two point 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 all items not in a set
complement 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 from 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 given 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 numbers, geometric figures letters, or other objects that have some characteristic in common
set
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a collection of items drawn entirely from a single set. This can consist of any number of items from a set ranging from none at all (a null ______) all the way up to the entire set (every set is a ______ of itself)
subset
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the set of all elements that belong to at least one of the given two or more sets
union of sets
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the __________ uses multiplication to find the number of ways two or more events can occur. (Two or more events that happen in succession)
counting principle
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The outcomes for a specified event
favorable outcomes
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The occurrence of one event does not affect the probability of the occurrence of the other event.
independent events
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The possible results of an experiment
outcomes
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the probability that an event occurs is a measure of the likelihood that the event will occur
probability
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all possible outcomes of a given experiment
sample space
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a tree-shaped diagram that illustrates sequentially the possible outcomes of a given event
tree diagram
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