What are variables in mathematical expressions?

Variables in mathematical expressions are symbols that represent changing values. They are typically used to denote quantities that can vary in different situations or under different conditions. For example, in the expression "x + 5," the symbol "x" can take on different numerical values, affecting the outcome of the expression.

The use of variables allows for the creation of general formulas and expressions that can apply to a wide range of scenarios. This flexibility is essential in algebra and various branches of mathematics, as it enables problem-solving for unknown quantities.

This understanding is crucial because it distinguishes between variables and constants—constants have fixed values that do not change, while variables are inherently designed to change. Recognizing the role of variables helps deepen comprehension of mathematical concepts and their applications in real-world situations or complex equations.