This worksheet is about 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 (NB two negatives)

4x - 27 + 45x

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

**49x - 27**

**Example 2**

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

**Answer**

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

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

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