algebraic expression
A collection of numbers and variables with at least one arithmetic operation.
An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. An algebraic expression can be written using symbols, letters, and numbers to represent mathematical relationships and can be evaluated to produce a numerical value.
For example, the expression 2x + 5y – 3z is an algebraic expression that involves the variables x, y, and z, and the constants 2, 5, and 3. This expression can be evaluated by substituting values for the variables, such as x = 3, y = 2, and z = 1, to get a numerical value.
Algebraic expressions are used in many areas of mathematics, including algebra, calculus, and geometry. They are used to represent mathematical relationships and to solve equations and inequalities. Algebraic expressions can also be used to model real-world situations, such as calculating the total cost of a shopping trip or the distance traveled by a moving object.
Algebraic expressions can be simplified by combining like terms, expanding parentheses, and using the rules of arithmetic. Simplifying algebraic expressions can make them easier to work with and can help to reveal underlying patterns and relationships.
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