1-1 Variables and Expressions

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like terms

Terms that contain the same variables raised to the same power.

base

The number that is multiplied by itself when raised to a power.

additive inverse

The opposite of the number. A number and its opposite add up to give zero.

multiplicative property of zero

The product of any number and zero is zero.

Commutative Property

The property that says that two or more numbers can be added or multiplied in any order without changing the result.

domain

The set of input values of a function.

evaluate

To find the value of a numerical or algebraic expression

multiplicative inverses

Two numbers whose product is 1. Also called reciprocals.

multiplicative identity

When any number is multiplied by 1, the product is the number

discrete function

a graph that consists of points that are not connected

mapping

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

range

The set of output values for a function.

associative property

The way in which numbers are grouped does not change their sum or product

distributive property

a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

function

a relation in which each element of the domain is paired with exactly one element of the range

relation

a set of ordered pairs

dependent variable

a variable (often denoted by y ) whose value depends on that of another.

power

an expression that represents repeated multiplication of the same factor It can also refer to the exponent

coordinate system/coordinate plane

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

exponent

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

factors

quantities being multiplied

product

the answer to a multiplication problem

order of operations

the order in which operations in an expression to be evaluated are carried out. 1. parentheses 2. exponents 3. multiplication and division (from left to right) 4. addition and subtraction (from left to right) PEMDAS

y-coordinate

the second number in an ordered pair

additive identity

the sum of any number and zero is equal to the number

x-intercept

the x-coordinate of a point where a graph crosses the x-axis

y-intercept

the y-coordinate of a point where a graph crosses the y-axis

independent variable

variable (often denoted by x) that is manipulated or can be changed, it determines the output

simplest form

when an expression contains no like terms or parenthesis

algebraic expression

A combination of variables, numbers, and at least one operation (addition, subtraction, multiplication, division).

continuous function

A function whose graph is an unbroken line or curve with no gaps or breaks.

coefficient

A number multiplied by a variable in an algebraic expression. It is located in front of the variable.

term

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

ordered pair

A pair of numbers that can be used to locate a point on a coordinate plane

equivalent expressions

expressions that have the same value

x-coordinate

the first number in an ordered pair


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