Expressions
Combinations of numbers, variables, and operations that represent a value.
Definition
An expression is a combination of numbers, variables, and operations that represents a value. Unlike an equation, an expression has no equals sign โ it's a phrase, not a sentence.
Examples:
- โ a numeric expression (evaluates to )
- โ an algebraic expression (depends on )
- โ a polynomial expression
Terms are the parts separated by or . In , the terms are and .
Evaluating an expression
Evaluate when :
Substitute the value of , then simplify.
Identifying terms and coefficients
In :
- Terms: , ,
- Coefficient of :
- Coefficient of :
- Constant term:
Try it
Evaluate when and .
Solution
Related concepts
Algebraยท Pre-Algebra
Order of OperationsThe rules that tell you which part of an expression to evaluate first.Algebraยท Linear Equations
Linear EquationsEquations where the unknown appears only to the first power.Algebraยท Abstract Algebra
Algebraic PropertiesThe structural laws โ commutativity, associativity, distributivity โ that govern how operations behave.