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A Level Algebra

Circle Geometry

Learn circle geometry as part of develop pure algebra, proof, functions, graphs, sequences, trigonometry, exponentials and vectors.

Key idea

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

What you will learn

Use circle geometry meaning confidently.
Use circle geometry representations confidently.
Use circle geometry methods confidently.
Use circle geometry applications confidently.

Success checklist

I can explain what circle geometry 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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