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Key Stage 3 Algebra

Algebra in Context

Translate worded problems into expressions, equations, formulae and graphs.

Key idea

Keep both sides balanced, use notation accurately, and check by substituting your answer back in.

What you will learn

Use worded problems confidently.
Use variables confidently.
Use formulae confidently.
Use modelling confidently.

Success checklist

I can explain what algebra in context means.
I can choose a suitable method without being told.
I can show clear working and check my answer.

Worked example

Solve 3𝑥 + 5 = 20.

Model method

Step 1

Subtract 5 from both sides: 3𝑥 = 15.

Step 2

Divide both sides by 3.

Step 3

𝑥 = 5.

Answer

𝑥 = 5

Quick practice

Question 1

Simplify 4𝑥 + 3𝑥 - 2𝑥.

Question 2

Solve 2𝑥 - 7 = 11.

Question 3

Expand 5(𝑥 + 3).

Related resources

These are linked to the wider Algebra topic for now.

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