One Step Equations Maze Activity Bundle - Free Printable

The task involves solving one-step equations and then following a maze to navigate from one problem to the next. Let's solve each equation step by step and verify the solutions provided in the image.

Step 1: Solve Each Equation

#### 1. \( 26 = 8 + x \)
To solve for \( x \):
\[
26 = 8 + x
\]
Subtract 8 from both sides:
\[
26 - 8 = x
\]
\[
x = 18
\]
The solution is \( x = 18 \).

#### 2. \( y - 7 = 13 \)
To solve for \( y \):
\[
y - 7 = 13
\]
Add 7 to both sides:
\[
y = 13 + 7
\]
\[
y = 20
\]
The solution is \( y = 20 \).

#### 3. \( x + 4 = -12 \)
To solve for \( x \):
\[
x + 4 = -12
\]
Subtract 4 from both sides:
\[
x = -12 - 4
\]
\[
x = -16
\]
The solution is \( x = -16 \).

#### 4. \( \frac{y}{8} = 2 \)
To solve for \( y \):
\[
\frac{y}{8} = 2
\]
Multiply both sides by 8:
\[
y = 2 \times 8
\]
\[
y = 16
\]
The solution is \( y = 16 \).

#### 5. \( 10y = 40 \)
To solve for \( y \):
\[
10y = 40
\]
Divide both sides by 10:
\[
y = \frac{40}{10}
\]
\[
y = 4
\]
The solution is \( y = 4 \).

#### 6. \( x + 11 = 20 \)
To solve for \( x \):
\[
x + 11 = 20
\]
Subtract 11 from both sides:
\[
x = 20 - 11
\]
\[
x = 9
\]
The solution is \( x = 9 \).

#### 7. \( x - 8 = -10 \)
To solve for \( x \):
\[
x - 8 = -10
\]
Add 8 to both sides:
\[
x = -10 + 8
\]
\[
x = -2
\]
The solution is \( x = -2 \).

Step 2: Verify the Solutions

The solutions provided in the image match our calculations:
- \( x = 18 \)
- \( y = 20 \)
- \( x = -16 \)
- \( y = 16 \)
- \( y = 4 \)
- \( x = 9 \)
- \( x = -2 \)

Step 3: Follow the Maze

The maze is designed such that you start at the first equation and follow the path indicated by the colors to the next equation. The path should logically connect the solutions in the order they are solved.

Final Answer

The solutions to the one-step equations are:
\[
\boxed{x = 18, y = 20, x = -16, y = 16, y = 4, x = 9, x = -2}
\]