Algebra is a branch of mathematics that deals with symbols and the rules for manipulating those symbols to solve equations and express relationships between quantities.
A variable in algebra is a letter or symbol used to represent an unknown quantity or value. It is typically represented by a letter such as x, y, or z.
An equation in algebra is a mathematical statement that shows the equality of two expressions. It typically includes variables, numbers, and mathematical operators such as addition, subtraction, multiplication, and division.
To solve for a variable in an algebraic equation, you need to isolate the variable on one side of the equals sign. This is done by using inverse operations, or operations that undo each other, on both sides of the equation until the variable is alone on one side.
Algebra is important because it helps us understand and solve real-world problems involving quantities and relationships. It is also the foundation for more advanced branches of mathematics and other fields such as science, engineering, and economics.