pdf, 74.72 KB
pdf, 74.72 KB

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!

Get this resource as part of a bundle and save up to 32%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

One-Step, Two-Step and Multi-Step Linear Equations and Equation Word Problems

A collection of ten worksheets on solving linear equations and linear equation word problems. There are three worksheets that include practice solving one-step, two-step and multi-step linear equations (one worksheet on each type of equations). There are six worksheets on solving multi step equations using the distributive property. The equations have: one bracket and the variable on the one side two brackets and the variable on the one side one or two brackets and the variable on both sides There is one 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. Detailed solutions to all worksheets are included. **Master forming and solving linear equations with this ultimate, no-prep 10-resource algebra bundle!** This comprehensive workbook pack is perfectly scaffolded to take students from foundational one-step equations all the way up to advanced algebraic word problems. Each worksheet is designed with clean layouts and dedicated working spaces for students to show their mathematical steps clearly. Perfect for daily classroom practice, homework assignments, independent revision, or comprehensive GCSE exam preparation! **What’s Included in This Bundle:** * **Student Practice Worksheets:** Hundreds of targeted algebra problems organized by specific skill sets. * **Complete Step-by-Step Answer Keys:** Every single packet includes fully worked-out solutions showing exactly how to isolate the variable—ideal for fast teacher marking or student self-assessment! **Breakdown of the 10 Included Worksheets:** * **Solving One-Step Linear Equations:** Foundational problems covering addition, subtraction, multiplication, and division. * **Solving Two-Step Linear Equations:** Problems introducing dual operations and basic fractional terms. * **Solving Multi-Step Linear Equations:** Problems featuring variable terms on both sides and combining like terms. * **Distributive Property Equations (Basic):** Problems focusing on expanding single brackets. * **Distributive Property Equations (Intermediate):** Problems involving expanding brackets with larger numbers and negative coefficients. * **Distributive Property Equations (Multi-Step):** Problems combining bracket expansion with extra variable terms. * **Distributive Property Equations (Advanced Double Expansion):** Complex problems with multiple brackets on the same side. * **Distributive Property Equations (Variables on Both Sides):** Advanced equations to master structural balancing across the equals sign. * **Equation Word Problems (Intro to Modeling):** Problems translating classic verbal statements and number-comparison sentences into algebra. * **Equation Word Problems (Advanced Applications):** Challenging real-world problems focusing heavily on consecutive integers and popular algebraic age logic puzzles. **Perfect For:** * **Key Stage 3 (KS3):** Years 7, 8, and 9 foundational algebra building * **Key Stage 4 (KS4):** Year 10 and 11 GCSE Foundation and Higher tier revision * **Functional Skills Maths:** Level 2 algebra practice and problem-solving **Curriculum Alignment (UK National Curriculum & GCSE):** * **Algebra:** Model practical situations by expressing them as formulae or linear equations. * **Algebra:** Formulate and solve linear equations in one unknown, including those with the variable on both sides, brackets, and fractions. **No prep required! Just choose your skill level, print, and teach!**

£3.35

Reviews

Something went wrong, please try again later.

This resource hasn't been reviewed yet

To ensure quality for our reviews, only customers who have purchased this resource can review it

Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.