Question

Follow the steps to solve the equation using the algebra tiles.

−4x + 1 = x + (−4)

1. Add 4 positive x-tiles to both sides and create zero pairs.

2. Add 4 positive unit tiles to both sides and create zero pairs.

3. Divide the unit tiles evenly among the x-tiles.

x =

Answer 1

To solve the equation \(-4x + 1 = x + (-4)\) using algebra tiles, follow the steps given:

### Step 1: Add 4 positive x-tiles to both sides and create zero pairs.

Starting equation:
\[
-4x + 1 = x - 4
\]

Adding 4 positive x-tiles to both sides:
\[
-4x + 4x + 1 = x + 4x - 4
\]

This simplifies to:
\[
0 + 1 = 5x - 4
\]
which is:
\[
1 = 5x - 4
\]

### Step 2: Add 4 positive unit tiles to both sides and create zero pairs.

Next, add 4 positive unit tiles to both sides to eliminate \(-4\):
\[
1 + 4 = 5x - 4 + 4
\]

This simplifies to:
\[
5 = 5x
\]

### Step 3: Divide the unit tiles evenly among the x-tiles.

Now, divide the unit tiles by the number of x-tiles:
\[
\frac{5}{5} = x
\]

This gives you:
\[
x = 1
\]

So the solution to the equation is:
\[
\boxed{1}
\]