Explore: Algebra Lab, Solving Multi-Step Equations
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You will have 9 positive 1-tiles on the right-hand side of the mat.
x=2
We can use an equation model to solve 2x+5=9. Let's do it step by step!
We can begin with modeling the equation. On the left-hand side we have 2x+5, so we place 2 x-tiles and 5 positive 1-tiles on one side of the mat. On the other side, we place 9 positive 1-tiles.
Now, we want to isolate the x-term. Since there are 5 positive 1-tiles with the x-tiles, we can add 5 negative 1-tiles to each side to form the zero pairs.
Next, we can group the tiles to show the zero pairs. There are 5 of them on each side.
Let's remove the zero pairs!
Finally, we can group the remaining tiles into 2 equal groups to match the x-tiles.
We can tell that each x-tile is paired with 2 positive 1-tiles. Therefore, the resulting equation is x=2.