**Modeling and solving two step equations :**

In this section, we are going to see, how two-step equations can be solved using modeling.

We will be using the following algebra tiles to model and solve two-step equations.

**Example 1 : **

Use algebra tiles to model and solve 3n + 2 = 11.

**Solution : **

**Step 1 :**

How can we model the left side of the equation ?

We find 3n + 2 on the left side of the equation. So we can use three positive variable tiles and two +1 tiles to model the left side of the equation.

**Step 2 : **

How can we model the right side of the equation ?

We find positive 11 on the right side of the equation. So we can use eleven +1 tiles to model the right side of the equation.

**Step 3 : **

Now use the above mentioned algebra tiles or draw them to model the equation on the mat.

**Step 4 : **

Remove two +1 tiles from each side of the mat.

**Step 5 : **

Divide each side into 3 equal groups.

**Step 6 : **

The solution is n = 3.

**Example 2 : **

Use algebra tiles to model 2x - 3 = 5.

**Solution : **

**Step 1 :**

How can we model the left side of the equation ?

We find 2x - 3 on the left side of the equation. So we can use two positive variable tiles and three -1-tiles to model the left side of the equation.

**Step 2 :**

How can we model the right side of the equation ?

We find positive 5 on the right side of the equation. So we can use five +1 tiles to model the right side of the equation.

**Step 3 : **

Now use the above mentioned algebra tiles or draw them to model the equation on the mat.

**Step 4 : **

Add three +1 tiles on each side of the mat.

**Step 5 : **

Identify and remove zero pairs on each side of the mat.

**Step 6 : **

Divide each side into 2 equal groups.

**Step 7 : **

The solution is x = 4.

After having gone through the stuff given above, we hope that the students would have understood "How to model and solve two step equations".

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