Final answer:
A variable is a value that can change and is often used to represent unknowns or quantities that may vary. Variables are important in mathematics and are used in algebraic expressions and equations to solve problems and understand relationships between different quantities.
Step-by-step explanation:
A variable is a value that can vary or change in a given scenario. It can be expressed as a real number, a variable itself, or a combination of a variable and a real number such as a product or quotient. For example, 6, 7y, x, 8xy, and 5x2 are all examples of variables.
In the context of mathematics, variables are often used to represent unknown values in equations or to describe quantities that may vary in a given situation. They play a crucial role in algebraic expressions and equations, allowing us to solve problems and understand relationships between different quantities.
Understanding variables is fundamental in mathematics, as they are key components in various mathematical concepts and topics.