1. Algebra is a branch of mathematics that uses symbols, usually letters, to represent numbers and express mathematical relationships. 2. The main goal in algebra is to find the value of unknown variables by solving equations. 3. A common algebraic equation looks like $ax + b = c$, where $x$ is the variable, and $a$, $b$, and $c$ are known numbers. 4. To solve for $x$, you isolate it on one side of the equation using inverse operations, such as addition, subtraction, multiplication, and division. 5. For example, to solve $2x + 3 = 7$, subtract 3 from both sides to get $2x = 4$. 6. Then divide both sides by 2 to find $x = 2$. 7. Important rules include the distributive property: $a(b + c) = ab + ac$, and combining like terms, which means adding or subtracting terms with the same variable and exponent. 8. Algebra helps in solving real-world problems by creating equations that model situations and finding unknown values. 9. Practice by solving simple equations and gradually move to more complex expressions and systems of equations.