England · Year 6 · Ages 10–11 · Worked examples

Year 6 Introduction to Algebra: Worked Examples

See free Year 6 introduction to algebra worked examples with clear strategies and answers, aligned to the England primary curriculum.

Model the thinking

Four worked examples

Try each question first, then compare the strategy and answer. The aim is to understand the method, not just copy the final result.

1
Substitute

If a = 7, find a + 5.

How to think about it: Represent the relationship with a simple number sentence or table. Keep the same relationship on both sides, solve one step at a time, then substitute the answer back to check it.

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Answer: 12

2
Expression

Write an expression for 'n plus 4'.

How to think about it: Represent the relationship with a simple number sentence or table. Keep the same relationship on both sides, solve one step at a time, then substitute the answer back to check it.

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Answer: n + 4

3
Equation

Solve x + 9 = 23.

How to think about it: Represent the relationship with a simple number sentence or table. Keep the same relationship on both sides, solve one step at a time, then substitute the answer back to check it.

Show answer

Answer: x = 14

4
Equation

Solve 5y = 35.

How to think about it: Represent the relationship with a simple number sentence or table. Keep the same relationship on both sides, solve one step at a time, then substitute the answer back to check it.

Show answer

Answer: y = 7

Next step

Turn the explanation into practice

Use the printable for independent work, or return to the topic overview to choose another way to practise.

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