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GCSE Algebra

Forming Expressions

Learn forming expressions as part of build algebra fluency from expressions and equations through graphs, functions, proof and curve work.

Key idea

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

What you will learn

Use forming expressions meaning confidently.
Use forming expressions representations confidently.
Use forming expressions methods confidently.
Use forming expressions applications confidently.

Success checklist

I can explain what forming expressions 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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