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Algebraic Equation
An equation that contains one or more variables.
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Algebraic Expression
An expression that contains one or more variables.
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Coefficient
The number that is multiplied by the variable(s) in a single term. In the term 67rt, rt has a coefficient of 67.
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Constant
A term that does not contain any variables.
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Empty Set
A set with no members; also called the null set. Denoted Ø.
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Equation
Sets two expressions equal to each other.
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Expression
A "phrase" that represents a number.
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Like Terms
Terms that contain the exact same variables raised to the same exponents, possibly with different coefficients.
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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.
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Null Set
A set with no members; also called the empty set. Denoted Ø.
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Properties of Equality
Properties of Equality -
Properties of Operations and Identities
Properties of Operations and Identities -
Quotient Property
a×
=
.
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Reciprocal
The number
is called the reciprocal of a. When a is multiplied by its reciprocal, the result is 1.
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Replacement Set
A set of values from which to find a solution.
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Simplified Form
The form of an expression after like terms have been combined; equivalent to the original expression.
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Solution
Any value of a variable that makes the specified equation true.
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Solution Set
The set of all variables that makes the specified equation true.
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Term
A single number or the product of a number and one or more variables.
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Variable
A symbol used to represent a number.
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Zero Product Property
If ab = 0, than a = 0 or b = 0 (or both).