MODELING TWO STEP EQUATIONS WORKSHEET

Problem 1 : 

Use algebra tiles to model 3x - 4  =  5.

Problem 2 : 

Use algebra tiles to model 2x + 1  =  3.

Problem 3 : 

Use algebra tiles to model 4 - 3x  = 5.

Detailed Answer Key

Problem 1 : 

Use algebra tiles to model 3x - 4  =  5.

Solution : 

Step 1 :

How can we model the left side of the equation ?

We find 3x - 4 on the left side of the equation. So we can use three positive variable tiles and four -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.

Problem 2 : 

Use algebra tiles to model 2x + 1  =  3.

Solution : 

Step 1 :

How can we model the left side of the equation ?

We find 2x + 1 on the left side of the equation. So we can use two positive variable tiles and one +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 3 on the right side of the equation. So we can use three +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.

Problem 3 : 

Use algebra tiles to model 4 - 3x  = 5.

Solution : 

Step 1 :

How can we model the left side of the equation ?

We find 3 - 4x on the left side of the equation. So we can use  three +1-tiles and four negative variable 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.

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