# 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 .
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).

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