Solving Multistep Equations. 2x + 4 = 12. Method 1 : Algebra tiles. You should have a basic understanding of Algebra Tiles to use this tutorial. The Legal Moves are the set of moves allowed. Let’s review the Legal Moves. Method 1 : Algebra tiles. Legal Moves 1. Removing Zero Pairs.
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Solving Multistep Equations
2x + 4 = 12
You should have a basic understanding of Algebra Tiles to use this tutorial.
The Legal Moves are the set of moves allowed. Let’s review the Legal Moves.
Legal Moves
1. Removing Zero Pairs
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Tiles of opposite types in the same quadrants form zero pairs and can be removed
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Tiles of the same type in adjacent quadrants form zero pairs and can be removed
Legal Moves
1. Removing Zero Pairs
2. Flipping Tiles
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Tiles can be flipped over ANY dashed line to change their location
Legal Moves
1. Removing Zero Pairs
2. Flipping Tiles
3. Dividing into groups
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3x = 6


x = 2
After separating x’s from unit tiles. Divide the unit tiles into the same number of equal sized groups as there are x’s.
WARNING!!!
There are many possible methods for solving an equation with algebra tiles. You may see a different move…try it and see if you get the same answer!!!!
Let’s Start with a basic equation:
4x – 7 = 9
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Flip up tiles in the () region:
4x – 7 = 9
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Flip unit tiles away from the region with the xtiles:
4x = 16
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Arrange unit tiles into four equal groups since there are 4 xtiles:x = 4
4x = 16
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x = 4
is the correct answer!!!
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Plug x = 4 into the original equation
4x – 7 = 9
4(4)  7 = 9
16 – 7 = 9
9 = 9
Since the statement is true then 4 is a solution!!!
WARNING!!!
You may setup your negative items as red tiles on top OR other colored tiles on bottom. Either setup is acceptable.
Let’s Start with an advanced equation:
2(3 – 2x) = 4 + (2x) – 10
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Flip up:
6 – 4x = 4  2x – 10
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Flip up:
6 – 4x = 4  2x – 10
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Remove Zero Pairs:
6 – 4x =  2x – 6
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Remove more Zero Pairs:
6 – 2x = – 6
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Flip red xtiles to the other side:
6 = 2x – 6
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Flip red xtiles to the other side:
6 = 2x – 6
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Flip unit tiles away from the xtiles:
12 = 2x
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Flip unit tiles away from the xtiles:
12 = 2x
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Arrange tiles into 2 group since there are 2 xtiles:
6 = x
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x = 6
is the correct answer!!!
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Plug x = 6 into the original equation
2(3 – 2x) = 4 + (2x) – 10
2(3 – 2(6)) = 4 + (2(6)) – 10
2(3 – 12) = 4 + (12) – 10
2(9) =  8 – 10
Since the statement is true then 6 is a solution!!!
This method is derived from the rules of algebra tiles so the steps are similar.
Let’s solve the equation: 5x – 3(x – 2) = 2x  4
Plug x = 2.5 into the original equation
5x – 3(x – 2) = 2x  4
5(2.5) – 3(2.5 – 2) = 2(2.5) – 4
12.5 – 3(4.5) = 5 – 4
12.5 + 13.5 = 1
1 = 1
Since the statement is true then 2.5 is a solution!!!
You should be ready to give it a try on your own.
Locate the Checkpoint 1 – Worksheetfrom the Geometry Page on School Fusion, Print it, show all work, and turn it in to your teacher.
Once the worksheet is 100% correct then you will be eligible to retake the Checkpoint 1 – Quiz!!!