# SOLVING TWO STEP EQUATIONS WITH ALGEBRA TILES WORKSHEET

Problem 1 :

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

Problem 2 :

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

You can use the following algebra tiles to model and solve two-step equations.

Problem 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.

Problem 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.

Kindly mail your feedback to v4formath@gmail.com

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