describe what a variable and coefficient are in an algebraic expression.

1 answer

A variable in an algebraic expression is a symbol or letter that represents an unknown quantity or a changing value. It can be any letter of the alphabet, typically represented by x, y, or z. Variables are used to denote values that can vary or change in value.

A coefficient in an algebraic expression is a numerical factor or constant that is multiplied by a variable. It is a fixed number that determines the scale or magnitude of the variable. Coefficients can be positive, negative, or zero. In a linear equation, the coefficient represents the slope, while in a quadratic equation, it represents the curvature of the graph. Coefficients are usually represented by letters from the beginning of the alphabet, such as a, b, or c.