Linear Equations
Overview
A linear equation is an equation in which the highest power of the unknown is 1. Solving a linear equation means finding the value of the unknown that makes both sides equal. This skill runs through almost every area of the Edexcel IGCSE specification: from number problems and geometry to statistics and probability, you will regularly need to form and solve linear equations.
This lesson builds from single-step equations through to multi-step problems involving brackets and fractions. You will also practise translating word problems into equations, a skill that Edexcel tests frequently on both papers.
Objectives
- Solve linear equations, with integer or fractional coefficients, in one unknown in which the unknown appears on either side or both sides of the equation
- Set up simple linear equations from given data
Mind map
This topic is mapped out so you can see how the ideas connect.
Open the mind map in the app
Flashcards
Quick recall practice on the facts this topic is tested on.
Practise these cards in the app
Lesson Note
Complete Note Available on the Green Bridge App
Get the Green Bridge CBT app on your phone or computer for the complete IGCSE library: past papers, mark schemes, mind maps, flashcards and audio lessons.
Lesson Evaluation
Congratulations on completing the lesson on Linear Equations. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- Solve 5x + 3 = 28. A) 4 B) 5 C) 6 D) 7 Answer: B
- Solve 3(x - 2) = 15. A) 3 B) 5 C) 7 D) 9 Answer: C
- Which equation has the solution x = 4? A) 2x + 1 = 7 B) 3x - 2 = 10 C) x/2 + 3 = 7 D) 5x = 25 Answer: B
- Solve (x + 6)/3 = 5. A) 3 B) 7 C) 9 D) 11 Answer: C
- Two identical books and a 3 pound postage fee cost 19 pounds. What is the cost of one book? A) 6 pounds B) 7 pounds C) 8 pounds D) 9 pounds Answer: C
Work through these questions in the app
Work through these questions in the app
Recommended Books
Practice Mock Questions
Want to practice mock questions on Linear Equations? Download the Green Bridge CBT app to access mock questions and full practice assessments for this topic.
Download The App On Google Playstore
Everything you need to excel in your exams
