We can use algebra tiles to model and solve equations with integers. Let's look at some examples, and then try a few of our own.

### Using addition to solve an equation

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Use algebra tiles to model and solve the following equations. Virtual algebra tiles are available at this link.

- x + 4 = - 2
- x - 3 = - 2
- - 6 = x - 3
- 4 = 7 - x

#### Reflection

- Explain why, in the example shown above, it is important to add two +1-tiles to each side and not just the left side of the equation.
- The example uses a property called the addition property of equality. Explain in your own words what this property allows you to do.

### Using division to solve an equation

#### Worked example

#### Practice questions

Use algebra tiles to model and solve the following equations. Virtual algebra tiles are available at this link.

- 2 x = 4
- 5 x = 15
- 3 x = - 18
- 4 x = - 12

#### Reflection

- The example uses a property called the division property of equality. Explain in your own words what this property allows you to do.

#### Extension

- There are two more properties of equality - the subtraction property of equality and the multiplication property of equality. See if you can demonstrate them using algebra tiles.
- Explain how you could use algebra tiles to solve an equation like 3 x - 2 = 4.