Logic Masters · Ages 11 to 12
Expanding Brackets Fill-in
Expand single and double brackets and write the simplified expression. A Grade 7 algebra worksheet with five levels and answer keys.
The learning journey
Every activity is one step. Here is where this one fits.
- PlayLearn the idea in a game
- Practise(you are here)Lock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- AchieveEarn a certificate
About Expanding Brackets Fill-in
Expanding Brackets Fill-in gives Grade 7 learners focused practice with one of the foundational skills of secondary algebra: multiplying out brackets. Each question presents an expression such as a single bracket multiplied by a term, or a pair of binomials, and asks the student to expand and simplify it. Lower levels concentrate on single brackets like 3(2x + 4), reinforcing how every term inside is multiplied by the factor outside, while higher levels introduce double brackets such as (x + 3)(x + 5), where students meet the x-squared term and the idea of collecting like terms for the first time. Expanding brackets is a core Year 7 to Year 8 expectation across the UK, and appears in the expressions and equations strands of the US Common Core and the Australian and Canadian curricula. Fluency here underpins everything from solving equations to working with quadratics later. Because the coefficients change every time, the worksheet stays fresh and reusable, and the five levels grow the difficulty steadily. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own complete answer key giving the fully expanded expression for each question. There is no advertising, no sign-up and no data leaves the device.
Common questions
- Does this cover double brackets?
- Yes, higher levels include expanding pairs of brackets like (x + 3)(x + 5).
- What grade is this for?
- Grade 7 learners aged 11 to 12.
- Is an answer key included?
- Yes, every level shows the fully expanded expression for each question.
A hand for grown-ups
- Before you start
- Find a calm few minutes with no rush. Let your child know it is fine to find some of it tricky — that is what practice is for.
- While they work
- Sit nearby but let them lead. If they get stuck, ask "what could you try?" rather than giving the answer — the thinking is the point.
- Afterwards
- Ask them to show you one they found easy and one they found hard. Praise the effort on the hard one, not just the right answers.
- Watch out for
- Rushing. If answers come too fast and wrong, slow the pace down together rather than pushing for more.
- Away from the screen
- Look for the same maths in everyday life — counting stairs, sharing snacks, spotting shapes on a walk.
Where to go next
Chosen by the skills this activity practises.