Associative Property of Addition
Property that states that when adding numbers,
changing the grouping of the numbers or terms
does not change the sum
Associative Property of Multiplication
States that when multiplying numbers, changing the grouping of the numbers or terms does not change the product
binomial
An algebraic expression consisting of two terms
coefficient
A number used to multiply a variable
constant
A fixed value within an equation or expression (a
number or letter that stands for a fixed number)
commutative property of addition
Property that states that the order of the numbers
or terms in a sum can be changed without affecting the sum
commutative property of multiplication
Property that states that the order of the numbers or terms in a product can be changed without affecting the product
degree of a monomial
The sum of the exponents of all the variables of a
monomial
degree of a polynomial
The highest degree of any monomial or term in the
polynomial
distributive property
Property that states that multiplying a single term by
two or more terms inside a set of parentheses yields
an equivalent expression
equation
A statement that the values of two mathematical expressions are equal (indicated by the sign =
equivalent equations
Expressions that are the same, even though they
may look a little different
expression
A mathematical phrase that can contain numbers,
variables, and operators
integers
Any positive or negative number, including zero but
with no fractional or decimal part
irrational number
A real number that cannot be written as a simple
fraction (in the form a/b, where a and b are integers), and when written as a decimal, the decimals do not terminate, nor do they repeat
leading coefficient of a polynomial
The coefficient of the leading term in a polynomial equation
leading term of a polynomial
The term with the highest degree in a polynomial equation
monomial
An algebraic expression consisting of one term
natural numbers
All positive integers greater than zero
negative exponent property
Property of equality that states that a number with a negative exponent should be moved to the other side of the fraction line and the exponent switched to positive
polynomial
An algebraic expression consisting of one term or the sum of several terms that contain different powers of the same variable(s)
power of a power property
States that to find a power of a power, multiply the exponents
power of a product property
States that if there is more than one factor in parenthesis, with an exponent outside the parenthesis, then the exponent is distributed to
every term in the parenthesis
power of a quotient property
States that the power of a quotient is equal to the quotient obtained when the dividend and divisor are each raised to the indicated power separately, before the division is performed
product of powers property
States that the product of two powers with the same base is the base raised to the sum of the
powers (exponents)
quotient of powers property
States that the quotient of two powers with the same base is the base raised to the difference of
the powers (exponents)
radical expressions
any expression containing a radical (? ) symbol, which indicate the root of a number or expression
rational exponent property
Property that states that an expression raised to a rational number can be written as a rational expression
rational exponents
when the exponent is in fraction form
rational number
A real number including those with a fractional or decimal part; it can be written in the form a/b, where a and b are integers
real number
A number that can be any of the following: natural numbers, whole numbers, integers, rational numbers, irrational numbers
standard form of a polynomial
When the monomial terms of a polynomial expression are organized in descending degree
order from left to right
term
A constant, variable, or multiplicative combination
of the two
trinomial
An algebraic expression consisting of three terms
unit
A standard of measurement and exchange used to express a quantity
variable
A letter that represents a quantity that may change within the context of a problem
whole numbers
Positive integers greater than or equal to zero; whole numbers cannot be negative or fractions
zero product property
Property that states that when the product of two or more factors equals zero, one or more of the
factors must also equal zero