what the short definition of algebraic expression and example
An algebraic expression is a mathematical phrase that contains numbers, variables, and operation symbols. It represents a quantity or a relationship between quantities.
Example: 3x + 2y - 5z
In this expression, x, y, and z are variables, and 3, 2, and 5 are coefficients. The operation symbols are the addition (+) and subtraction (-) signs.
Algebraic Expression: An algebraic expression consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It may also contain exponents or radicals.
Example:
2x + 3y - 5
In this example, "x" and "y" are variables, and "2", "3", and "5" are constants. The expression includes addition and subtraction as the mathematical operations.
The short definition of an algebraic expression is a combination of one or more variables, constants, and mathematical operations like addition, subtraction, multiplication, and division. It represents a mathematical relationship or a formula and can be simplified or evaluated.
Here's an example of an algebraic expression:
3x + 2y - 5
In this example:
- "3x" represents the product of 3 and x.
- "2y" represents the product of 2 and y.
- "-5" is a constant.
It's important to note that the variables "x" and "y" can take on any value. Algebraic expressions are often used to represent unknown quantities or general relationships in mathematics.