Grade 8 · Year 9 · Class 8 · ages 13–14
Simultaneous equations from a sum and a difference worksheets.
Free printable simultaneous equations from a sum and a difference worksheets with answer keys. Finding two numbers from their sum and their difference. Choose the level and the number of questions, then download a PDF or print.
- Grade 8
- Year 9 · Class 8
- Ages 13–14
- PDF + print
- Answer key
- Free
Sheet 14209. Change the options above or make a new worksheet.
Simultaneous equations from a sum and a difference
Grade 8 · Medium · 12 questions · Sheet 14209
Name Date Score / 12
- 1.x + y = 51 and x − y = 1. Find y.
- 2.x + y = 27 and x − y = 11. Find y.
- 3.x + y = 11 and x − y = 3. Find y.
- 4.x + y = 28 and x − y = 4. Find y.
- 5.x + y = 8 and x − y = 6. Find y.
- 6.x + y = 30 and x − y = 2. Find y.
- 7.x + y = 27 and x − y = 9. Find x.
- 8.x + y = 42 and x − y = 8. Find x.
- 9.x + y = 21 and x − y = 1. Find y.
- 10.x + y = 21 and x − y = 13. Find x.
- 11.x + y = 10 and x − y = 2. Find y.
- 12.x + y = 49 and x − y = 9. Find y.
About simultaneous equations from a sum and a difference worksheets
Finding two numbers from their sum and their difference. This worksheet maker is aimed at Grade 8 (Year 9, Class 8) (ages 13–14) and makes new questions every time, with the answers worked out by a maths engine.
Teaching tip
Add the two equations to get 2x, then divide by 2. Put x back in to find y.
What the three levels look like
- Easy: x + y = 14 and x − y = 6. Find x. ___
- Medium: x + y = 53 and x − y = 5. Find y. ___
- Challenge: x + y = 17 and x − y = 9. Find x. ___
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FAQ
Simultaneous equations from a sum and a difference worksheets: questions
What grade are simultaneous equations from a sum and a difference worksheets for?
Simultaneous equations from a sum and a difference is usually taught around Grade 8 (Year 9, Class 8), for ages 13–14. Every grade has an easy, medium and challenge level, so you can go back to an earlier level or push ahead.
Do these simultaneous equations from a sum and a difference worksheets include an answer key?
Yes. Press Download PDF with the answer key switched on and the last page lists every answer. Turn the key off for a clean student copy.
Can I make a new worksheet with different questions?
Yes. Press New worksheet for a fresh set of questions. Each sheet has a sheet number printed on it; open this page with the same level, question count and number to get exactly the same sheet again.
How do I help a child who finds simultaneous equations from a sum and a difference hard?
Add the two equations to get 2x, then divide by 2. Put x back in to find y. Start with the easy level, and practise a few minutes every day rather than one long session.
What is the first rule for solving equations?
Whatever you do to one side of the equation you must do to the other. Undo adding with subtracting and multiplying with dividing. Our Equation Balance game shows this on a balance scale.
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Simultaneous equations from a sum and a difference (Grade 8): Finding two numbers from their sum and their difference. Open the practice page or print a worksheet.
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