An algebraic expression is a mathematical phrase that combines numbers and variables using mathematical operations such as addition, subtraction, multiplication, and division. In this section, we will explore the basics of algebraic expressions and their components.
Components of an Algebraic Expression
- Variables: Represent unknown values, typically represented by letters such as x, y, and z.
- Constants: Fixed numbers that do not change, such as 2, 5, and 10.
- Coefficients: The numbers that multiply variables.
- Terms: Separate parts of an expression, separated by addition or subtraction signs.
Types of Algebraic Expressions
- Monomial: Contains only one term, such as (3x^2).
- Binomial: Contains two terms, such as (2x + 5).
- Trinomial: Contains three terms, such as (3x^2 + 2x - 5).
Example
Consider the following expression: (2x^2 + 3x - 5).
- Variables: (x)
- Constants: 2, 3, -5
- Coefficients: 2, 3
- Terms: (2x^2), (3x), (-5)
For more information on algebraic expressions, you can visit our Algebra Guide.