Focus on Order of Operations - ULTIMATE Resource! (Games ... - Free Printable

To solve the problem presented in the image, we need to navigate through the maze by solving each mathematical expression correctly. The goal is to reach the "END" point while ensuring that all calculations are accurate. Let's break it down step by step.

Step 1: Understand the Maze

The maze consists of a series of interconnected nodes, each containing a mathematical expression. To move from one node to another, you must solve the expression and follow the correct path based on the result.

Step 2: Start at the "START" Node

The starting point is labeled:
\[ \text{START} \]
with the expression:
\[ 6 + (4 - 2) \times 3 \]

#### Solve the Expression:
Using the order of operations (PEMDAS/BODMAS):
1. Parentheses: \( 4 - 2 = 2 \)
2. Multiplication: \( 2 \times 3 = 6 \)
3. Addition: \( 6 + 6 = 12 \)

So, the result is:
\[ 12 \]

Step 3: Follow the Path

From the "START" node, we move to the node with the value \( 12 \). The next node is:
\[ 8 + (5 \times 2) - 2 \]

#### Solve the Expression:
1. Parentheses: \( 5 \times 2 = 10 \)
2. Addition/Subtraction: \( 8 + 10 - 2 = 16 \)

So, the result is:
\[ 16 \]

Step 4: Continue Solving

We continue this process for each node, solving the expressions and following the correct paths. Let's summarize the key steps:

#### Node 16:
\[ 8 + (5 \times 2) - 2 = 16 \] (Already solved)

#### Node 7:
\[ 9 + (3 \times 2) - 7 = 8 \]

#### Node 25:
\[ (7 + 5) \times 2 - 4 = 24 \]

#### Node 96:
\[ 2 \times (8 + 4) \times 6 = 96 \]

#### Node 46:
\[ 2 \times (9 + 8) = 34 \]

#### Node 1:
\[ 2 \times (1 + 0) = 2 \]

#### Node 22:
\[ 3 \times (7 + 1) = 24 \]

#### Node 26:
\[ 8 \times (3 + 1) = 32 \]

#### Node JAIL:
If we make a mistake, we end up in the "JAIL" node, which requires us to restart.

Step 5: Reach the "END" Node

After solving all the expressions correctly, we should arrive at the "END" node. The final expression at the "END" node is:
\[ (1 + 7) \div 2 \]

#### Solve the Expression:
1. Parentheses: \( 1 + 7 = 8 \)
2. Division: \( 8 \div 2 = 4 \)

So, the result is:
\[ 4 \]

Final Answer

The correct path through the maze leads us to the "END" node with the final result:
\[
\boxed{4}
\]