Logic Masters · Ages 11 to 12
Forming and Solving Equations Fill-in
Write an equation from a worded description, then solve it. A Grade 7 algebra worksheet with 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 Forming and Solving Equations Fill-in
Forming and Solving Equations Fill-in develops one of the most valuable problem-solving skills in algebra: turning a worded situation into an equation and then solving it. Each question describes a number that has been operated on, such as multiplied and then added to, with a given result, and asks the student to form the equation and find the unknown number. Forming and solving linear equations is a core Grade 7 expectation across the US, UK, Canada and Australia, and it is where algebra stops being abstract manipulation and becomes a tool for answering real questions. Building the equation from words is often the harder half, so practising both forming and solving together is exactly what students need. Each problem is constructed to have a clean whole-number solution, keeping the focus on the method rather than awkward arithmetic, and the worksheet shows the equation and its solution in the answer key so students can check both stages of their work. The five levels grow the size of the numbers and the coefficients. Each page prints cleanly on a standard A4 sheet, and every level downloads with its own complete answer key. There is no advertising and no sign-up. Use it to connect words and algebra or alongside our algebra games.
Common questions
- What does this practise?
- Writing a linear equation from a worded description, then solving it.
- Are the answers whole numbers?
- Yes, each problem is built to have a clean whole-number solution.
- Is an answer key included?
- Yes, every level shows the equation and its solution.
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.