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.

Detailed Answer Key

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.

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Relatively Prime Numbers

    Nov 21, 22 10:22 AM

    Relatively Prime Numbers - Concept - Examples

    Read More

  2. Relatively Prime Numbers Worksheet

    Nov 21, 22 10:20 AM

    Relatively Prime Numbers Worksheet

    Read More

  3. Least Common Multiple of Relatively Prime Numbers Worksheet

    Nov 21, 22 06:42 AM

    Least Common Multiple of Relatively Prime Numbers Worksheet

    Read More