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GCSE Algebra
Equation of Circle and Tangent
Learn equation of circle and tangent 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 equation of circle and tangent meaning confidently.
Use equation of circle and tangent representations confidently.
Use equation of circle and tangent methods confidently.
Use equation of circle and tangent applications confidently.
Success checklist
✓I can explain what equation of circle and tangent 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.
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.