Understanding Changing the Subject in Formulae

The video tutorial explains how to change the subject of a formula, also known as rearranging formulae. It provides multiple examples, demonstrating the process of isolating a variable on one side of the equation by performing inverse operations. The tutorial covers various scenarios, including dealing with addition, subtraction, multiplication, division, and square roots. It emphasizes the importance of understanding the subject of a formula and consistently applying operations to both sides of the equation.

What is the subject of the formula x = 4w + 2?

• 2

• x

• w

• 4

What is the subject of the formula a = 2(y + 3)?

• 3

• a

• y

• 2

In the equation y = m - 3, what operation should be performed to make m the subject?

• Multiply both sides by 3

• Divide both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

In the equation g = 5m, what operation is needed to isolate m?

• Add 5 to both sides

• Subtract 5 from both sides

• Multiply both sides by 5

• Divide both sides by 5

How do you express m in terms of h in the equation h = 3m - 1?

• m = h - 1

• m = (h - 1) / 3

• m = h + 1

• m = (h + 1) / 3

How do you express m in terms of h in the equation h = 3m + 1?

• m = (h + 1) / 3

• m = (h - 1) / 3

• m = h + 1

• m = h - 1

What is the opposite operation of squaring a number?

• Dividing by 2

• Cubing

• Square root

• Multiplying by 2

What operation should be performed to make m the subject in w = m²?

• Square both sides

• Multiply both sides by 2

• Square root both sides

• Divide both sides by 2

In the formula c = 2πr, what should you do to make r the subject?

• Subtract 2π from both sides

• Add 2π to both sides

• Divide both sides by 2π

• Multiply both sides by 2π

In the formula p = 2l + 2w, what is the first step to make l the subject?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2w from both sides

• Add 2w to both sides