In this section, you will learn how to model two step equations using algebra tiles.
Here, we can use the following algebra tiles to model two-step equations.
Example 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.
Example 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.
Example 3 :
Use algebra tiles to model 4 - 3x = 5.
Solution :
Step 1 :
How can we model the left side of the equation ?
We find 4 - 3x on the left side of the equation. So we can use four +1-tiles and three 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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