Three worksheets on solving simultaneous equations using substitution and elimination. One worksheet on the method of substitution, one worksheet on the method of elimination and one worksheet with problems in which the one equation is linear and the other is quadratic (and the method of substitution applies). Detailed solutions are provided.

Master simultaneous equations with this comprehensive 3-worksheet practice pack. It covers linear elimination, substitution, and linear-quadratic (non-linear) systems. Every worksheet includes full, step-by-step worked solutions to save you hours of marking time. Perfect for KS3, KS4, and GCSE maths revision or lessons.

Are you looking for comprehensive, ready-to-print practice sheets to help your students master simultaneous equations?
This Simultaneous Equations 3-Worksheet Practice Bundle provides targeted, scaffolded practice for solving systems of equations using multiple algebraic methods. Designed to build procedural fluency, this resource takes students from basic linear systems all the way to challenging linear-quadratic (non-linear) systems.
Perfect for KS3, KS4, GCSE Maths prep, or international algebra curriculums!

What’s Included in This Resource?
• Worksheet 1: Elimination Method – 10 structured problems focused on adding and subtracting equations, including systems requiring multiplication.
• Worksheet 2: Substitution Method – 10 problems designed to build confidence in isolating variables and substituting expressions efficiently.
• Worksheet 3: One Linear, One Quadratic System – 10 advanced problems challenging students to solve non-linear simultaneous equations algebraically.
• Complete Answer Key – Full, step-by-step worked solutions for every single problem to make marking effortless or allow for student self-correction.

Why Teachers Love This Pack:
• No Prep Required: Just print, copy, and you are ready to go!
• Scaffolded Learning: Moves logically from fundamental methods to advanced non-linear concepts.
• Versatile Use: Ideal for in-class independent practice, homework assignments, cover lessons, or exam revision.
• Clear Layout: Generous white space gives students plenty of room to show their workings neatly.

Curriculum & Topics Covered:
• Key Stage 3 & 4 National Curriculum: Algebraic proficiency and solving equations.
• GCSE Maths (Foundation & Higher Tier): Solve two simultaneous equations in two variables.
• GCSE Maths (Higher Tier): Find approximate and exact solutions to simultaneous equations where one is linear and one is quadratic.
• Target Keywords: Simultaneous equations, elimination method, substitution method, linear quadratic systems, non-linear equations, algebra worksheets, maths bundle, GCSE maths revision.