Solving a literal equation using the formula for perimeter

The video tutorial explains how to solve for the variable w in the equation P = 2l + 2w. The instructor guides through the process of isolating w by first subtracting 2l from both sides and then dividing by 2. The tutorial emphasizes understanding the role of each variable and the importance of isolating the desired variable. The solution is left in a simplified form, and the instructor encourages questions for further clarification.

What is the main goal when solving the equation P = 2l + 2w for w?

• To eliminate the variable l

• To express w in terms of other variables

• To find the value of P

• To calculate the numerical value of w

Which operation is used first to isolate w in the equation P = 2l + 2w?

• Addition

• Multiplication

• Division

• Subtraction

After subtracting 2l from both sides of the equation, what expression do we get?

• P - 2w = 2l

• P = 2l + 2w

• P - 2l = 2w

• P + 2l = 2w

What is the final step to solve for w in the equation P - 2l = 2w?

• Add 2 to both sides

• Divide both sides by 2

• Subtract 2 from both sides

• Multiply both sides by 2

What is the final expression for w after solving the equation?

• w = P - 2l

• w = (P - 2l) / 2

• w = P + 2l

• w = 2(P - 2l)