How to Use Digital Math Mazes - Idea Galaxy - Free Printable

$How to Use Digital Math Mazes - Idea Galaxy$

Educational worksheet: How to Use Digital Math Mazes - Idea Galaxy. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: How to Use Digital Math Mazes - Idea Galaxy

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The task involves solving a maze-like puzzle where you combine like terms in algebraic expressions to navigate from the "Start" to the "Finish." The goal is to simplify each expression correctly and follow the path that leads to the correct simplified result.

Step-by-Step Solution:

#### 1. Start: $ 3x + x + 6y $
- Combine like terms:
\[
3x + x + 6y = (3x + x) + 6y = 4x + 6y
\]
- Move to the next box with $ 4x + 6y $.

#### 2. Next Box: $ 4x + 6y $
- This is already simplified.
- Move to the next box with $ 2y + x + 3y $.

#### 3. Next Box: $ 2y + x + 3y $
- Combine like terms:
\[
2y + x + 3y = x + (2y + 3y) = x + 5y
\]
- Move to the next box with $ x + 5y $.

#### 4. Next Box: $ x + 5y $
- This is already simplified.
- Move to the next box with $ 5y + 1 $.

#### 5. Next Box: $ 5y + 1 $
- This is already simplified.
- Move to the next box with $ 4x + x + 3y $.

#### 6. Next Box: $ 4x + x + 3y $
- Combine like terms:
\[
4x + x + 3y = (4x + x) + 3y = 5x + 3y
\]
- Move to the next box with $ 5x + 3y $.

#### 7. Next Box: $ 5x + 3y $
- This is already simplified.
- Move to the next box with $ 3x + 2y + 2 $.

#### 8. Next Box: $ 3x + 2y + 2 $
- This is already simplified.
- Move to the next box with $ 3x + x + y + 2y $.

#### 9. Next Box: $ 3x + x + y + 2y $
- Combine like terms:
\[
3x + x + y + 2y = (3x + x) + (y + 2y) = 4x + 3y
\]
- Move to the next box with $ 4x + 3y $.

#### 10. Next Box: $ 4x + 3y $
- This is already simplified.
- Move to the next box with $ 4a + b $.

#### 11. Next Box: $ 4a + b $
- This is already simplified.
- Move to the next box with $ 4x + y + x $.

#### 12. Next Box: $ 4x + y + x $
- Combine like terms:
\[
4x + y + x = (4x + x) + y = 5x + y
\]
- Move to the next box with $ 5x + y $.

#### 13. Next Box: $ 5x + y $
- This is already simplified.
- Move to the next box with $ 3x + 6y $.

#### 14. Next Box: $ 3x + 6y $
- This is already simplified.
- Move to the next box with $ x + 2x + y + 5y $.

#### 15. Next Box: $ x + 2x + y + 5y $
- Combine like terms:
\[
x + 2x + y + 5y = (x + 2x) + (y + 5y) = 3x + 6y
\]
- Move to the next box with $ 3x + 6y $.

#### 16. Next Box: $ 3x + 6y $
- This is already simplified.
- Move to the next box with $ 3x + 5y + 1 $.

#### 17. Next Box: $ 3x + 5y + 1 $
- This is already simplified.
- Move to the next box with $ 2a + 2a + b $.

#### 18. Next Box: $ 2a + 2a + b $
- Combine like terms:
\[
2a + 2a + b = (2a + 2a) + b = 4a + b
\]
- Move to the next box with $ 4a + b $.

#### 19. Next Box: $ 4a + b $
- This is already simplified.
- Move to the next box with $ 2a + 3b $.

#### 20. Next Box: $ 2a + 3b $
- This is already simplified.
- Move to the next box with $ x + y + x $.

#### 21. Next Box: $ x + y + x $
- Combine like terms:
\[
x + y + x = (x + x) + y = 2x + y
\]
- Move to the next box with $ 2x + y $.

#### 22. Next Box: $ 2x + y $
- This is already simplified.
- Move to the next box with $ 2x + x + 3y $.

#### 23. Next Box: $ 2x + x + 3y $
- Combine like terms:
\[
2x + x + 3y = (2x + x) + 3y = 3x + 3y
\]
- Move to the next box with $ 3x + 3y $.

#### 24. Next Box: $ 3x + 3y $
- This is already simplified.
- Move to the next box with $ 6x + 6a $.

#### 25. Next Box: $ 6x + 6a $
- This is already simplified.
- Move to the next box with $ 5a + 5x + a $.

#### 26. Next Box: $ 5a + 5x + a $
- Combine like terms:
\[
5a + 5x + a = (5a + a) + 5x = 6a + 5x
\]
- Move to the next box with $ 6a + 5x $.

#### 27. Next Box: $ 6a + 5x $
- This is already simplified.
- Move to the next box with $ 8x + 4 $.

#### 28. Next Box: $ 8x + 4 $
- This is already simplified.
- Move to the next box with $ 3x + 5x + 4y $.

#### 29. Next Box: $ 3x + 5x + 4y $
- Combine like terms:
\[
3x + 5x + 4y = (3x + 5x) + 4y = 8x + 4y
\]
- Move to the next box with $ 8x + 4y $.

#### 30. Next Box: $ 8x + 4y $
- This is already simplified.
- Move to the next box with $ 9a + 1 $.

#### 31. Next Box: $ 9a + 1 $
- This is already simplified.
- Move to the next box with $ 6a + a + 3b + 1 $.

#### 32. Next Box: $ 6a + a + 3b + 1 $
- Combine like terms:
\[
6a + a + 3b + 1 = (6a + a) + 3b + 1 = 7a + 3b + 1
\]
- Move to the next box with $ 7a + 3b + 1 $.

#### 33. Next Box: $ 7a + 3b + 1 $
- This is already simplified.
- Move to the next box with $ 7a + 4b $.

#### 34. Next Box: $ 7a + 4b $
- This is already simplified.
- Move to the next box with $ 4x + 4x + 3y $.

#### 35. Next Box: $ 4x + 4x + 3y $
- Combine like terms:
\[
4x + 4x + 3y = (4x + 4x) + 3y = 8x + 3y
\]
- Move to the next box with $ 8x + 3y $.

#### 36. Next Box: $ 8x + 3y $
- This is already simplified.
- Move to the next box with $ 5x + 3 $.

#### 37. Next Box: $ 5x + 3 $
- This is already simplified.
- Move to the next box with $ x + 4x + 3y $.

#### 38. Next Box: $ x + 4x + 3y $
- Combine like terms:
\[
x + 4x + 3y = (x + 4x) + 3y = 5x + 3y
\]
- Move to the next box with $ 5x + 3y $.

#### 39. Next Box: $ 5x + 3y $
- This is already simplified.
- Move to the next box with $ 5y $.

#### 40. Next Box: $ 5y $
- This is already simplified.
- Move to the next box with $ 2y + y + y + 1 $.

#### 41. Next Box: $ 2y + y + y + 1 $
- Combine like terms:
\[
2y + y + y + 1 = (2y + y + y) + 1 = 4y + 1
\]
- Move to the next box with $ 4y + 1 $.

#### 42. Next Box: $ 4y + 1 $
- This is already simplified.
- Move to the next box with $ x + 9 $.

#### 43. Next Box: $ x + 9 $
- This is already simplified.
- Move to the next box with $ Finish $.