Solving equations with brackets
Home learning focus
In today's lesson, you will learn how to solve equations using brackets.
This lesson includes:
- a learning summary
- a video
- two activities
Solving an equation means working out what number the variable is equal to. To do this, you need to get the variable on its own, one one side of the equation.
To solve a linear equation with brackets, you must begin by expanding, or multiplying out the brackets.
Let's look at an example. Solve the equation 3(5x - 4) = 2(2x + 5)
- First expand the brackets:
- 15x - 12 = 4x + 10
- Then subtract 4x from both sides:
- 11x - 12 = 10
- Add 12 to both sides:
- 11x = 22
And divide by 11 to give:
- x = 2
So, x = 2
Solve and match up the equations
Have a go at this interactive activity from MyMaths from Oxford University Press. You have to solve the equations and match them up with the solutions.
Worksheet: Solving equations
Have a go at this worksheet from Hodder Education on solving equations using brackets. There are three pages of questions to work through.
You can print it out or write your answers on a piece of paper.
There's more to learn
Have a look at these other resources around the BBC and the web.