Expressions and Equations
Terms
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
67rt
,
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
.
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.
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).
