Expanding Brackets
Formulate algebraic expressions using constants, variables, operations and brackets.
Expanding means removing the brackets by multiplying everything inside by what sits outside. Miss one term and the whole answer is wrong.
Builds onYr 7 · Like Terms and Collecting Them
Method
Multiply every term inside
The outside number reaches all the way across.
Take the sign with the number
A minus outside changes both signs inside.
Expand first, then collect like terms
Do the two jobs in that order, never at once.
Worked example
e.g.
- Multiply the first bracket by 3.
- Multiply the second bracket by 2.
- Write everything out with no brackets left.
- Collect the like terms.
- Write the answer.
Practice
Expand every term, then collect.
1
Answer
2
Answer
3
Answer
4
Answer
5
Answer