Solving Linear Equations and Variables

What is the formula for the perimeter of a rectangle?

• P = l + w

• P = 2l + 2w

• P = l * w

• P = 2(l + w)

What is the first step in solving the equation P = 2l + 2w for l?

• Add 2w to both sides

• Subtract 2w from both sides

• Divide both sides by 2

• Multiply both sides by 2

After subtracting 2w from both sides, what does the left-hand side of the equation become?

• 2l - 2w

• 2l + 2w

• P - 2w

• P + 2w

What happens to the term 2w on the right-hand side after subtracting 2w from both sides?

• It doubles

• It cancels out

• It remains the same

• It becomes negative

What is the final step to isolate l in the equation?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

What is the final expression for l in terms of P and w?

• l = (P + 2w) / 2

• l = P - 2w / 2

• l = P + 2w / 2

• l = (P - 2w) / 2

What is the purpose of dividing both sides of the equation by 2 in the final step?

• To isolate the term with w

• To simplify the equation

• To isolate the term with l

• To cancel out the perimeter