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Let's break down the problem:

### a) Write an equation to describe this.
Matt baked \( x \) cakes. He sold 14 cakes and has 2 cakes left.

This means that after selling 14 cakes, he had 2 cakes remaining, so:
\[
x - 14 = 2
\]
This is the equation that describes the situation.

### b) Find the total number of cakes Matt baked.
Now, solve the equation for \( x \):
\[
x - 14 = 2
\]
Add 14 to both sides to isolate \( x \):
\[
x = 2 + 14 = 16
\]

Thus, Matt baked 16 cakes in total.

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Would you like more details or have any questions? 

Here are 5 related questions to extend this concept:
1. How would the equation change if Matt had sold 20 cakes instead of 14?
2. What if Matt had 5 cakes left after selling 14? What would the equation look like?
3. If Matt sold \( y \) cakes and had 2 left, how would you write an equation involving \( y \)?
4. How many cakes would Matt need to bake if he wanted to have 5 left after selling 14?
5. If Matt sold half of the cakes he baked and had 2 left, how would you solve for the total cakes?

**Tip:** When solving equations, always check your solution by substituting it back into the original equation to ensure it satisfies the problem conditions.

Matt baked x cakes to sell at a cake sale. He sells 14 cakes and has 2 cakes left. a) Write an equation to describe this. b) Find the total number of cakes Matt baked.

Learn how to solve a simple linear equation where Matt baked x cakes, sold 14, and has 2 cakes left. This problem covers basic algebraic concepts, including solving for x in an equation. Suitable for students in Grades 6-8.

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