This activity is about expanding (multiplying out brackets) and simplifying algebraic expressions.
Simplify 4x - 9(3 - 5x)
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
Simplify 3y(y - 5) + 2y2 + 8y
First, start by expanding the bracket 3y(y - 5) to get 3y2 - 15y
Simplify 3y2 - 15y + 2y2 + 8y
Collect y2 terms together and y terms together
5y2 - 7y
Right, let's have a go at some questions now.