Paper 1 · Algebra
⏱ Tested in 5 exam questions since 2023
Lesson 15 of 23
Algebra 15 – Modulus Equations
In this lesson you’ll learn to
- Interpret |x| as a size or distance that can never be negative
- Solve modulus equations by splitting into ± cases or by squaring both sides
- Always square both sides when a modulus meets an inequality
- Solve |f(x)| = |g(x)| by squaring to remove both moduli at once
Most recent exam questions
- 2025 Paper 1 Q1(a) — modulus inequality
- 2025 Paper 1 Q1(b) — modulus inequality — Paul's universal rule from Algebra 15: always square
- 2025 Paper 1 Q10(c) — apply the |a| + |b| = n rule to a specific point
- 2023 Paper 1 Q1(a) — modulus equation
- 2023 Paper 2 Q4(a)(ii) — apply the perpendicular distance formula (page 18) to convert "distance from line to poi…
💬 Stuck on something in this lesson?
Send your question with this lesson’s name attached — you’ll get a reply by email.