algebraic expression
An expression that contains numbers, operations and variables.
An algebraic expression is a combination of numbers, variables, and mathematical operations. It can be a single-term expression or a multi-term expression. Algebraic expressions are used to represent mathematical sentences or statements and are commonly used in algebraic equations.
For example, 3x + 4y is an algebraic expression that consists of two terms (3x and 4y) connected by the addition operator (+). In this expression, x and y are variables, and 3 and 4 are coefficients. The variables represent unknown or varying quantities, and the coefficients represent the factors that impact the value of the variable.
Algebraic expressions can be simplified by combining like terms (terms with the same variables and exponents) and performing arithmetic operations. For example, in the expression 2x + 3x, the two terms can be combined to give 5x. Similarly, in the expression 4x + 2x – 3y, the two x terms can be combined to give 6x and the y term can be simplified to -3y.
Overall, algebraic expressions are an important tool in solving mathematical problems and are used extensively in algebra and other areas of mathematics.
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