Solving Equations (Year 6)
Practise solving equations within Algebra for Year 6, with worked examples and instant feedback.
The questions below are generated to match the National Curriculum for Year 6 and get harder as you progress from Rookie to Guru.
Worked examples
RookieRead and interpret directly.
Simplify: 4x + 3x.
- 7x
- 7x²
- 12x
- 7
Answer: 7x. Same letter; add coefficients.
ProCompare and infer.
Complete: 3(x + 4) = 3x + ___.
- 12
- 4
- 7
- 3x
Answer: 12. Distribute: 3 × 4 = 12.
GuruMulti-step reasoning.
If a + b = 10 and a − b = 4, what is the value of a?
- 3
- 5
- 7
- 8
Answer: 7. Add the two equations: 2a = 14, so a = 7. (And b = 10 − 7 = 3.)
Related skills
Frequently asked questions
- What is solving equations?
- Practise solving equations within Algebra for Year 6, with worked examples and instant feedback.
- How can my child practise solving equations at home?
- Work through the examples below, then start a free adaptive session. Northstar adjusts the difficulty automatically and tracks mastery over time.
Practise this adaptively
Start a free session that adjusts to your child's level, tracks mastery and celebrates progress.
Start free