two numbers whose product is 1

the distance around a figure, measured in linear units

consists of sums and/or products of numbers and variables

symbols used to represent unspecified numbers or values. Any letter may be used for this.

a number, a variable, or a product or quotient of numbers and variables

quantities being multiplied

the answer when two or more values are multiplied

(or exponent) of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base.

indicates the number of times the base is used as a factor

the number that gets multiplied when using an exponent

more than, sum, plus, increased by, added to

less than, subtracted from, difference, decreased by, minus

product of, multiplied by, times, of

quotient of, divided by

to find its value

the rule that lets you know which operation to perform first when evaluating an expression or equation.

expressions that represent the same number

for any number a, the sum of a and 0 is a. (the 0 is called this)

a number and its opposite

for any number a, the product of a and 1 is a. (the 1 is called this)

For any number a, the product of a and 0 is 0.

the order in which you add or multiply numbers does not change their sum or product

the way you group three or more numbers when adding or multiplying does not change their sum or product.

refers to how close a measured value comes to the actual or desired value

For any numbers a, b, and c,
a(b+c) = ab + ac and (b+c)a = ba + ca and
a(b-c) = ab - ac and (b-c)a = ba - ca

terms that contain the same variables, with corresponding variables having the same power

when an expression contains no like terms or parenthesis; the least attainable fraction of a number or a linear equation

numerical factor of a term

if a = b, then a may be substituted for b.

a mathematical statement that contains algebraic expressions and symbols

a sentence that contains an equal sign (=)

finding a value for a variable that makes a sentence true

a set of numbers from which replacements for a variable may be chosen is called this

a collection of objects or numbers that is often shown using braces { }

an object or number in a set

the set of elements from a replacement set that make an open sentence true

formed by the intersection of two number lines, the horizontal axis and the vertical axis

the vertical axis

(0,0), the point where the axes intersect

the horizontal axis

set of numbers, or coordinates, written in form (x,y)

the plane containing the x- and y-axes

the x-value, represents horizontal placement of a point

the y-value, represents the vertical placement of a point

a set of ordered pairs.

Can be represented in several different ways: as an equation, in a graph, with a table, or with a mapping

the set of the first numbers of the ordered pairs

the set of second numbers of ordered pairs

illustrates how each element of the domain is paired with an element in the range

in a relation, the value of the variable that determines the output

the variable with a value that is dependent on the value of the independent variable

a relationship between input and output.

(there is exactly one output for each input)

a graph that consists of points that are not connected

a function graphed with a line or smooth curve

used to see if a graph represents a function.

If a vertical line intersects the graph more than once, then the graph is not a function.

Otherwise, the relation is a function.

equations that are functions and be written this way,

where x represents the elements of the domain,

and f(x) represents the elements of the range.

a function with a graph that is not a straight line

the points where the graph intersects an axis

the y-coordinate of the point at which the graph intersects the y-axis

the x-coordinate of the point at which a graph intersects the x-axis

a graph possesses this when the y-axis or

some other vertical line

if each half of the graph

on either side of the line matches exactly