the number of times a base is used as a factor of repeated multiplication
side opposite to the right angle in a right triangle
a real number whose deicmal form is non-terminating and non-repeateing that cannot be written as the ratio of two integers
a number that can be written as the ratio of two integers with a nonzero denominator
either of the two shorter sides of a right triangle; the two legs form the right angle of the triangle
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
one of two equal factors of a nonnegative number
the distance a number is from zero on the number line. Example: |-4|=4 and |3|=3
two numbers that when added together equal 0. Example: 3.2+(-3.2)=0
a mathematical sentence that contains an equals sign
A mathematical phrase involving at least one variable. Expressions can contain numbers and operation symbols.
a mathematical sentence that contains the symbols >, <, >, or <.
Pairs of operations that undo each other; Examples: Addition and subraction and multiplication and division.
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
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
two numbers that when multiplied together equal 1. Example: 4 and 1/4
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
two or more equations that together define a relationship between variables
system of equations
the collection of all items not in a set
complement of a set
a member or item in a set
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
the set of all elements contained in all of the given sets
intersection of sets
a subset that does not contain every element of the parent set
a rule that gives an output number for every valid input number
a collection of numbers, geometric figures letters, or other objects that have some characteristic in common
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)
the set of all elements that belong to at least one of the given two or more sets
union of sets
the __________ uses multiplication to find the number of ways two or more events can occur. (Two or more events that happen in succession)
The outcomes for a specified event
The occurrence of one event does not affect the probability of the occurrence of the other event.
The possible results of an experiment
the probability that an event occurs is a measure of the likelihood that the event will occur
all possible outcomes of a given experiment
a tree-shaped diagram that illustrates sequentially the possible outcomes of a given event