One-step linear equations in GCSE Maths are simple and help you understand more complicated algebra topics later. Let’s break them down.

1. Basic Structure

A one-step linear equation looks like this:

• $x + 5 = 12$
• or
• $3x = 9$

Here, $x$ is the variable we want to find. These equations use simple math operations like addition, subtraction, multiplication, or division.

2. Solving Process

These one-step equations are great because you can solve them with just one move! Here’s how to do it depending on the operation:

• Addition: If you have $x + 5 = 12$, you will subtract 5 from both sides. This means $x = 12 - 5$. So, $x = 7$.

• Subtraction: For $x - 3 = 2$, you will add 3 to both sides. This gives you $x = 2 + 3$, which means $x = 5$.

• Multiplication: If you have $3x = 9$, you will divide both sides by 3. So, $x = 3$.

• Division: For something like $\frac{x}{4} = 2$, you multiply both sides by 4. This results in $x = 8$.

3. Types of Equations

One-step equations can be positive or negative, and they can also include fractions or decimals. For example, a negative equation could be $x - 4 = -2$, and an equation with a fraction might look like $\frac{x}{2} = 3$.

4. Importance in Maths

Learning to solve one-step equations is really important. It helps you build confidence in algebra. Once you understand these, you can easily move on to two-step equations and others. They teach you that you have to keep both sides of the equation balanced—whatever you do to one side, you must do to the other.

5. Key Skills Developed

When you solve these equations, you learn useful skills:

• Critical Thinking: You need to decide what operation to use next.
• Algebraic Manipulation: You get better at changing equations.
• Attention to Detail: It’s important to keep track of your signs and operations.

In conclusion, one-step linear equations are essential in GCSE Maths. They are the first baby steps in learning algebra. Once you master these, you’ll find the harder equations much easier!