1. Let's solve a simple algebra problem suitable for Year 6 learners: Find the value of $x$ in the equation $2x + 3 = 11$. 2. The formula we use here is to isolate $x$ by performing inverse operations. Important rules: - Whatever you do to one side of the equation, do the same to the other side. - Addition and subtraction are inverse operations. - Multiplication and division are inverse operations. 3. Start by subtracting 3 from both sides to get rid of the +3: $$2x + 3 - 3 = 11 - 3$$ which simplifies to $$2x = 8$$ 4. Now, divide both sides by 2 to solve for $x$: $$\frac{2x}{2} = \frac{8}{2}$$ which simplifies to $$x = 4$$ 5. So, the value of $x$ is 4. This means if you replace $x$ with 4 in the original equation, both sides will be equal. Final answer: $x = 4$