Year 6 Algebra

Use simple formulae; substitute values into expressions; solve linear equations; generate sequences using the nth term.

Try the worked examples below, then start an adaptive session that adjusts to your level.

Worked examples

RookieRead and interpret directly.

If a = 4, what is 3a?

  • 12
  • 7
  • 34
  • 1

Answer: 12. 3a = 3 × a = 3 × 4 = 12.

ProCompare and infer.

The nth term of a sequence is 2n + 3. What is the 5th term?

  • 13
  • 10
  • 5
  • 23

Answer: 13. 2 × 5 + 3 = 13.

GuruMulti-step reasoning.

The nth term of a sequence is 4n − 1. Is 50 a term in this sequence? Justify.

  • No — 4n − 1 = 50 gives n = 12.75, not a whole number.
  • Yes.
  • Cannot tell.
  • Yes — at n = 13.

Answer: No — 4n − 1 = 50 gives n = 12.75, not a whole number.. n must be a whole number.

Skills in this topic

Frequently asked questions

What is covered in Year 6 Algebra?
Use simple formulae; substitute values into expressions; solve linear equations; generate sequences using the nth term. Key skills include Solving Equations, Substitution, Nth Term, Simultaneous Equations.

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