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
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Flashcards
Quick recall practice on the facts this topic is tested on.
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Lesson Note
Complete Note Available on the Green Bridge App
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Lesson Evaluation
Congratulations on completing the lesson on Linear Equations. Now that you've explored the key concepts and ideas, it's 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
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Recommended Books
Further learning from open sources
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Textbook section
Solve Equations with Variables and Constants on Both Sides
Solve an equation with constants on both sides
"Prealgebra: Solve Equations with Variables and Constants on Both Sides" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/8-3-solve-equations-with-variables-and-constants-on-both-sides. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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Textbook section
Use a General Strategy to Solve Linear Equations
Solve linear equations using a general strategy
"Intermediate Algebra: Use a General Strategy to Solve Linear Equations" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/intermediate-algebra/pages/2-1-use-a-general-strategy-to-solve-linear-equations. Access for free at https://openstax.org/books/intermediate-algebra/pages/1-introduction
Published by other organisations under open licences, credited as they ask. Links open their websites.
Practice Mock Questions
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