# Solving Multistep Equations - PowerPoint PPT Presentation

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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

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## 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

### Removing Zero Pairs

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Tiles of opposite types in the same quadrants form zero pairs and can be removed

### Removing Zero Pairs

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Tiles of the same type in adjacent quadrants form zero pairs and can be removed

### Method 1 : Algebra tiles

Legal Moves

1. Removing Zero Pairs

2. Flipping Tiles

### Flipping Tiles

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Tiles can be flipped over ANY dashed line to change their location

### Method 1 : Algebra tiles

Legal Moves

1. Removing Zero Pairs

2. Flipping Tiles

3. Dividing into groups

### Dividing into Groups

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3x = -6

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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.

### Are you ready for an Example?

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!!!!

4x – 7 = 9

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### Putting it all Together

Flip up tiles in the (-) region:

4x – 7 = 9

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### Putting it all Together

Flip unit tiles away from the region with the x-tiles:

4x = 16

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### Putting it all Together

Arrange unit tiles into four equal groups since there are 4 x-tiles:x = 4

4x = 16

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### Putting it all Together

x = 4

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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!!!

### Another Example?

WARNING!!!

You may setup your negative items as red tiles on top OR other colored tiles on bottom. Either setup is acceptable.

### Example 2

2(3 – 2x) = 4 + (-2x) – 10

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### Example 22(3 – 2x) = 4 + (-2x) – 10

Flip up:

6 – 4x = 4 - 2x – 10

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### Example 22(3 – 2x) = 4 + (-2x) – 10

Flip up:

6 – 4x = 4 - 2x – 10

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### Example 22(3 – 2x) = 4 + (-2x) – 10

Remove Zero Pairs:

6 – 4x = - 2x – 6

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### Example 22(3 – 2x) = 4 + (-2x) – 10

Remove more Zero Pairs:

6 – 2x = – 6

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### Example 22(3 – 2x) = 4 + (-2x) – 10

Flip red x-tiles to the other side:

6 = 2x – 6

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### Example 22(3 – 2x) = 4 + (-2x) – 10

Flip red x-tiles to the other side:

6 = 2x – 6

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### Example 22(3 – 2x) = 4 + (-2x) – 10

Flip unit tiles away from the x-tiles:

12 = 2x

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### Example 22(3 – 2x) = 4 + (-2x) – 10

Flip unit tiles away from the x-tiles:

12 = 2x

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### Example 22(3 – 2x) = 4 + (-2x) – 10

Arrange tiles into 2 group since there are 2 x-tiles:

6 = x

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### Example 22(3 – 2x) = 4 + (-2x) – 10

x = 6

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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

• 18 = - 18

Since the statement is true then 6 is a solution!!!

### Method 2 : Solve using a Table

This method is derived from the rules of algebra tiles so the steps are similar.

### Using a Table

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!!!

### Give it a try!!!

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!!!