This activity is about **expanding** (multiplying out brackets) and **simplifying** algebraic expressions.

**Example 1**

Simplify 4x - 9(3 - 5x)

**Answer**

We copy down the 4x then multiply out the bracket:

4x - 27 + 45x (Did you spot that -9 x 3 = a negative 27, but -9 x -5x = a positive 45x?)

Now we collect like terms, i.e. 4x + 45x

**49x - 27**

**Example 2**

Simplify 3y(y - 5) + 2y^{2} + 8y

**Answer**

First, start by expanding the bracket 3y(y - 5) to get 3y^{2} - 15y

Simplify 3y^{2} - 15y + 2y^{2} + 8y

Collect y^{2} terms together and y terms together

**5y ^{2 }- 7y**

Right, let's have a go at some questions now.