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One of the key steps in solving algebraic equations is to isolate the variable you are solving for. This means you need to get that variable alone on one side of the equation. In our exercise, we started with the formula: P = 2L + 2WWe need to solve for W. To isolate W, follow these steps:

• Move all terms not containing W to the other side of the equation. In this case, we subtract 2L from both sides.
• Divide every term on both sides of the equation by the coefficient of W, which is 2 in this case.

By performing these operations, we isolated W and solved for it. It's crucial to remember that each step you perform must maintain the equality of the equation, meaning you do the same operation to both sides.

Algebraic formulas like the one in the exercise are equations that show how two or more variables are related. In our case, the formula P = 2L + 2W relates the perimeter P of a rectangle to its length L and width W.

• An algebraic formula helps us understand how changing one variable affects another.
• Rearranging a formula to solve for a specific variable helps us make predictions and understand relationships better.

Converting a complex formula into a simpler form where one variable is isolated helps in solving practical problems more efficiently. Once the variable is isolated, it becomes straightforward to understand how it interacts with other variables in the equation.

Breaking down solutions into steps makes learning and understanding much easier. Let’s revisit our steps for the given exercise to see the importance of this process:1. Identify the given formula: P = 2L + 2W. Recognizing the actual format and structure of the formula is the first step. 2. Isolate the term with W: Subtract 2L from both sides to move the term containing W on one side - P - 2L = 2W.3. Solve for W: Divide both sides by 2 to isolate W - W = (P - 2L)/2.

• These steps simplify the problem, making it easier to follow and solve.
• Each step builds upon the previous one, ensuring clarity and understanding.

Remember, practice different types of problems using this step by step method to enhance your problem-solving skills. This method can be applied to various algebraic equations, helping you become proficient at isolating variables and understanding algebraic relationships.