Introduction to Algebraic Equations: Grade 7-9 Math Guide Subject: Mathematics | Grade: Grade 7-9 Algebra is a branch of mathematics where we use symbols (usually letters like , , or ) to represent unknown numbers in equations. It helps us solve real-world problems where some information is missing. Let's look at the basic building blocks of algebra: Key Vocabulary • Variable: A letter representing an unknown number (e.g., in , is the variable). • Constant: A fixed number that does not change (e.g., is the constant). • Coefficient: The number multiplying the variable (e.g., is the coefficient of ). Solving One-Step Equations The golden rule of algebra is: Whatever you do to one side of the equation, you must do to the other side. Your goal is to isolate the variable. Example 1 (Addition) Solve for : Subtract from both sides: Example 2 (Division) Solve for : Divide both sides by : Solving Two-Step Equations Two-step equations require two operations to solve. Always perform addition or subtraction first, followed by multiplication or division. Sample Problem Solve for : S