Solve algebraic equations to find the correct path from Start to Finish in this math maze.
A math maze game with algebraic equations, starting at "Start" and ending at "Finish," where players solve equations like X + 7 = 15 and 4X = 12 to navigate through the path.
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Step-by-step solution for: Math Puzzle Worksheets 5th Grade Kids Will Love! Get It Free Now!
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Show Answer Key & Explanations
Step-by-step solution for: Math Puzzle Worksheets 5th Grade Kids Will Love! Get It Free Now!
Problem Description:
The task involves solving a series of algebraic equations to navigate through a maze from the "Start" to the "Finish." Each equation in the maze has a solution, and the correct path is determined by selecting the equations whose solutions match the given values in the yellow boxes.
Solution Approach:
1. Identify the Starting Point: The starting point is labeled as \( X + 7 = 15 \).
2. Solve Each Equation: Solve each equation to find the value of \( X \).
3. Match Solutions with Yellow Boxes: Compare the solutions to the values in the yellow boxes to determine the correct path.
4. Navigate the Maze: Follow the path that matches the solutions to the yellow boxes until reaching the "Finish."
Step-by-Step Solution:
#### Starting Point: \( X + 7 = 15 \)
- Solve for \( X \):
\[
X + 7 = 15 \implies X = 15 - 7 \implies X = 8
\]
- The solution \( X = 8 \) matches the yellow box below it. Move to the next equation.
#### Next Equation: \( 3 + X = 4 \)
- Solve for \( X \):
\[
3 + X = 4 \implies X = 4 - 3 \implies X = 1
\]
- The solution \( X = 1 \) does not match any yellow box. This path is incorrect. Go back and try another path.
#### Alternative Path: \( X + 6 = 13 \)
- Solve for \( X \):
\[
X + 6 = 13 \implies X = 13 - 6 \implies X = 7
\]
- The solution \( X = 7 \) matches the yellow box below it. Move to the next equation.
#### Next Equation: \( 5X = 20 \)
- Solve for \( X \):
\[
5X = 20 \implies X = \frac{20}{5} \implies X = 4
\]
- The solution \( X = 4 \) matches the yellow box below it. Move to the next equation.
#### Next Equation: \( X - 4 = 8 \)
- Solve for \( X \):
\[
X - 4 = 8 \implies X = 8 + 4 \implies X = 12
\]
- The solution \( X = 12 \) does not match any yellow box. This path is incorrect. Go back and try another path.
#### Alternative Path: \( X + 3 = 12 \)
- Solve for \( X \):
\[
X + 3 = 12 \implies X = 12 - 3 \implies X = 9
\]
- The solution \( X = 9 \) matches the yellow box below it. Move to the next equation.
#### Next Equation: \( X - 10 = 5 \)
- Solve for \( X \):
\[
X - 10 = 5 \implies X = 5 + 10 \implies X = 15
\]
- The solution \( X = 15 \) matches the yellow box below it. Move to the next equation.
#### Next Equation: \( 8X = 24 \)
- Solve for \( X \):
\[
8X = 24 \implies X = \frac{24}{8} \implies X = 3
\]
- The solution \( X = 3 \) matches the yellow box below it. Move to the next equation.
#### Next Equation: \( X + 2 = 10 \)
- Solve for \( X \):
\[
X + 2 = 10 \implies X = 10 - 2 \implies X = 8
\]
- The solution \( X = 8 \) does not match any yellow box. This path is incorrect. Go back and try another path.
#### Alternative Path: \( 6X = 54 \)
- Solve for \( X \):
\[
6X = 54 \implies X = \frac{54}{6} \implies X = 9
\]
- The solution \( X = 9 \) does not match any yellow box. This path is incorrect. Go back and try another path.
#### Correct Path: \( X + 12 = 12 \)
- Solve for \( X \):
\[
X + 12 = 12 \implies X = 12 - 12 \implies X = 0
\]
- The solution \( X = 0 \) does not match any yellow box. This path is incorrect. Go back and try another path.
#### Final Correct Path: \( 8 + X = 15 \)
- Solve for \( X \):
\[
8 + X = 15 \implies X = 15 - 8 \implies X = 7
\]
- The solution \( X = 7 \) matches the yellow box below it. Move to the "Finish."
Final Answer:
The correct path through the maze is:
\[
\boxed{X = 8 \rightarrow X = 7 \rightarrow X = 4 \rightarrow X = 9 \rightarrow X = 15 \rightarrow X = 3 \rightarrow X = 8 \rightarrow X = 7}
\]
Parent Tip: Review the logic above to help your child master the concept of math puzzle games worksheet.