What is a coefficient?

A coefficient is defined as the number that appears in front of a variable within an algebraic expression or equation. It serves as a multiplier of the variable. For instance, in the expression 5x, the number 5 is the coefficient, indicating that the variable x is being multiplied by 5. This concept is fundamental in algebra, as coefficients help to determine the value of terms in equations based on the values assigned to the variables. Understanding coefficients is crucial for solving equations, manipulating expressions, and graphing linear functions, as they directly impact the slope and intercept when dealing with linear equations.