Function machines are a fun way to learn about algebra!

Think of a function machine like a box. You put in a number, and it changes that number based on a certain rule. Then, it gives you a new number.

Here’s How It Works:

1. Input: You take a number and put it into the machine.

2. Rule: The machine uses a special operation, like adding or multiplying. For example, if the rule is $x + 3$, and you put in $5$, the machine does the math: $5 + 3$.

3. Output: You get the answer. In this case, the output would be $8$.

Let’s Look at an Example:

• Machine: Add 2
• Input: 4
• Output: $4 + 2 = 6$

Making your own function machines can really help you understand these ideas better.

Try coming up with different rules and see what new numbers you get!