When you want to solve two-step linear equations, having a good plan can really help you finish faster! Here are some easy tips for Year 10 students to solve these equations with confidence.

1. Understand the Equation

A two-step equation usually looks like this: $ax + b = c$. Your goal is to find $x$. For example, in the equation $2x + 3 = 11$, you want to discover what $x$ is.

2. Use Inverse Operations

To find $x$, you’ll need to use the opposite operations. Let’s go step by step with our example:

• Step 1: First, subtract 3 from both sides:

  $2x + 3 - 3 = 11 - 3$

  This simplifies to $2x = 8$.

• Step 2: Next, divide both sides by 2:

  $\frac{2x}{2} = \frac{8}{2}$

  So, $x = 4$.

3. Stay Organized

Write down each step clearly. This helps you stay organized and makes it easier to check your work.

4. Practice Makes Perfect

The more you practice, the better you’ll get! Try solving these equations:

• $3x - 5 = 7$
• $4x + 9 = 25$

5. Check Your Work

Always put your answer back into the original equation to make sure it’s correct. This way, you can avoid mistakes.

By using these tips, students can get faster and more accurate at solving two-step linear equations. Happy solving!