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Solving Multi-Step Equations with Fractions & Distribution Maze ... - Free Printable

Solving Multi-Step Equations with Fractions &  Distribution Maze ...

Educational worksheet: Solving Multi-Step Equations with Fractions & Distribution Maze .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Solving Multi-Step Equations with Fractions & Distribution Maze ...
It looks like you've uploaded a "Solving Multi-Step Equations" maze activity. This is a common math worksheet where students solve equations step-by-step, and each correct answer leads them through a path from START to FINISH, navigating through boxes connected by arrows.

Since I can't view images directly, I’ll guide you on how to solve this type of problem and explain the logic behind it. If you can describe the equations in the maze or list them, I can help you work through the solution step-by-step.

However, here’s how to approach this kind of maze:

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🔍 How to Solve a Multi-Step Equation Maze



1. Start at the "START" box.
2. Solve the equation given in that box.
3. Find your answer among the connected boxes (usually one of the two or three adjacent ones).
4. Follow the arrow to that box.
5. Repeat until you reach "FINISH".

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Example Walkthrough



Let’s assume one of the first equations is:

> \(\frac{1}{2}(x + 4) = \frac{1}{3}(x - 6)\)

#### Step-by-step solution:

1. Eliminate fractions by multiplying both sides by the LCD (Least Common Denominator):
LCD of 2 and 3 is 6.

\[
6 \cdot \left( \frac{1}{2}(x + 4) \right) = 6 \cdot \left( \frac{1}{3}(x - 6) \right)
\]

\[
3(x + 4) = 2(x - 6)
\]

2. Distribute:

\[
3x + 12 = 2x - 12
\]

3. Subtract \(2x\) from both sides:

\[
x + 12 = -12
\]

4. Subtract 12:

\[
x = -24
\]

Now, look for a box with \(x = -24\) or an equation that simplifies to that. That’s your next move.

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🧩 Tips for Solving the Maze



- Always simplify equations carefully.
- Watch out for signs when distributing (especially negatives).
- Combine like terms before isolating the variable.
- Check your answers by plugging back into the original equation if possible.
- The correct path will lead you to FINISH without dead ends.

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📌 What You Can Do Now



If you can provide:
- A list of the equations in the maze,
- Or describe the layout (e.g., “first box has \(\frac{1}{2}(x+4) = \frac{1}{3}(x-6)\), then connects to two boxes: one with \(x=10\) and one with \(x=-24\)”),

I can help you trace the correct path from START to FINISH.

Alternatively, if you want, you can type out all the equations as they appear in the maze, and I'll solve them and map the route.

Just let me know!
Parent Tip: Review the logic above to help your child master the concept of solving multi step equations with fractions worksheet.
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