Algebraic operations are fundamental processes used in algebra to manipulate mathematical expressions. These operations include addition, subtraction, multiplication, and division of numbers and variables. For example, when you combine like terms, such as 3x and 5x, you can simplify the expression to 8x. In addition to basic operations, algebra also involves using properties like the distributive property and the associative property. The distributive property allows you to multiply a single term by a sum, such as a(b + c) = ab + ac. Understanding these operations is essential for solving equations and working with algebraic expressions effectively.