Solving Equations with Roots and Powers: Worksheet + Full Answers (IGCSE/GCSE Algebra)

A clear and student-friendly worksheet focused on solving equations containing square roots, cube roots, and powers. Designed to build confidence with rearranging, isolating the variable, and applying inverse operations step-by-step.

What’s included
• 16 practice questions increasing in difficulty (square roots, powers of 2 & 3, fractional powers)
• Fully calculated answer sheet provided (exact values where required)
• Ideal for classroom practice, homework, or independent revision
• Suitable for both foundation and higher students working on core algebra skills

Topics covered
• Solving equations with roots (square and cube)
• Solving equations with powers
• Isolating a variable using inverse operations
• Checking solutions and avoiding common errors

Designed for
• KS3 & KS4 students
• GCSE / IGCSE Mathematics (Algebra topic)

Students can continue practising online with instant marking and unlimited question variations here:
https://igcsemathstutor.com/algebra-2-solving-equations-with-roots-and-powers/

Builds fluency — supports retrieval practice — excellent for exam preparation.