** Algebraic Equation ** -
An equation that contains one or more variables.

** Algebraic Expression ** -
An expression that contains one or more variables.

** Coefficient ** -
The number that is multiplied by the variable(s) in a single term. In the term
67*rt*
,
*rt*
has a coefficient of 67.

** Constant ** -
A term that does not contain any variables.

** Empty Set ** -
A set with no members; also called the null set. Denoted
Ø
.

** Equation ** -
Sets two expressions equal to each other.

** Expression ** -
A "phrase" that represents a number.

** Like Terms ** -
Terms that contain the exact same variables raised to the same exponents, possibly with different coefficients.

** Multiplicative Inverse Property ** -
For every

*a*
, there exists a number

such that

*a*× = 1
.

is called the reciprocal of

*a*
, or the multiplicative inverse of

*a*
.

** Null Set ** -
A set with no members; also called the empty set. Denoted
Ø
.

** Properties of Equality ** -

Properties of Equality

** Properties of Operations and Identities ** -

Properties of Operations and Identities

** Quotient Property ** -

*a*× =
.

** Reciprocal ** -
The number

is called the reciprocal of

*a*
. When

*a*
is multiplied by its reciprocal, the result is 1.

** Replacement Set ** -
A set of values from which to find a solution.

** Simplified Form ** -
The form of an expression after like terms have been combined; equivalent to the original expression.

** Solution ** -
Any value of a variable that makes the specified equation true.

** Solution Set ** -
The set of all variables that makes the specified equation true.

** Term ** -
A single number or the product of a number and one or more variables.

** Variable ** -
A symbol used to represent a number.

** Zero Product Property ** -
If
*ab* = 0
, than
*a* = 0
or
*b* = 0
(or both).