In an algebraic expression, a variable is a symbol that represents an unknown number or quantity. It is a letter, usually represented by x, y, or z, used to create mathematical equations and expressions. The value of the variable can change, and it is often the goal of solving equations to find the value of the variable.
On the other hand, a coefficient is a numerical factor that multiplies the variable or variables in an algebraic expression. It represents the quantity by which the variable is being multiplied or affected. Coefficients can be positive or negative numbers, and they can also be fractions or decimals.
For example, in the algebraic expression 3x + 2, 3 and 2 are coefficients. The coefficient 3 is multiplying the variable x, while the coefficient 2 is a constant term without a variable.
describe what a variable and coefficient are in an algebraic expression.
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