Algebraic expression

 An algebraic expression is a mathematical phrase that contains variables, numbers, and operations (like addition, subtraction, multiplication, division, and exponentiation). It represents a value that can vary based on the values of the variables. Here are some key terms related to algebraic expressions:


Variable: A symbol (usually a letter) that represents an unknown or changing value. Common variables are represented by letters like x, y, or a.


Constant: A number in an algebraic expression that does not change, like 2 or 5.


Coefficient: The number that multiplies a variable in an expression. For example, in the expression 3x, 3 is the coefficient of x.


Term: A single part of an expression separated by + or - signs. For instance, in the expression 2x - 3y, "2x" and "-3y" are two terms.


Like Terms: Terms in an expression that have the same variable(s) raised to the same exponent(s). For example, 3x and 2x are like terms because they both have "x" raised to the first power.


Polynomial: An algebraic expression consisting of one or more terms with non-negative integer exponents. For example, 3x^2 + 2xy - 5 is a polynomial.


Simplify: To reduce an expression by combining like terms and performing operations to make it as concise as possible.


Evaluate: To find the numerical value of an expression by substituting specific values for the variables.

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