

A worksheet on solving problems by writing linear equations (one-step, two-step or multi-step). The students are required to write equations with one variable and then solve them to find the missing quantities. There are twenty problems and detailed solutions are included.
Master forming and solving linear equations with this comprehensive, no-prep 20-question algebra worksheet!
Translating word problems into mathematical equations is one of the biggest challenges for secondary maths students. This scaffolded worksheet helps students build confidence by starting with simple one-step operations and progressing to complex multi-step real-world scenarios.
Perfect for classroom practice, independent homework, extension work, or GCSE revision!
What’s Included:
- Student Activity Worksheet: 20 neatly organized, spacious word problems with dedicated boxes for students to show their algebraic working.
- Full Step-by-Step Answer Key: Every problem features fully worked-out equations showing exactly how to isolate the variable—perfect for quick teacher grading or student self-assessment!
Skills Covered & Problem Progression:
- Questions 1–5: Intro to algebraic translation (one-step and basic two-step equations).
- Questions 6–10: Consecutive integer and consecutive even integer sum problems.
- Questions 11–15: Multi-step linear equations and introductory single-variable modeling.
- Questions 16–20: Advanced multi-step word problems, including highly requested algebraic age problems (such as past and future age comparisons).
Perfect For:
- Key Stage 3 (KS3): Years 7, 8, and 9
- Key Stage 4 (KS4): GCSE Foundation and Higher tier revision
- Functional Skills Maths: Level 2 algebra practice
Curriculum Alignment (UK National Curriculum):
- Algebra: Model practical situations by expressing them as formula or linear equations.
- Algebra: Formulate and solve linear equations in one unknown, including those with the variable on both sides.
No prep required! Just print and use!
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