Worked Solution & Mark Scheme (4 marks)
⇒ 4x = 38
⇒ x = 9.5 A1
Home > Worksheets > GCSE questions by topic > Solving linear equations
Free Printable Solving linear equations PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 3)
Download free solving linear equations worksheets (PDF), GCSE maths past paper questions and worked solutions for Solving linear equations (3P). This is a Grade 3 algebra topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).
The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Maths Made Easy, Dr Frost, 1st Class Maths, Hannah Kettle, Maths4Everyone, Maths4EveryOne, Metatutor, Maths DIY, Maths Takeaway, Dr Austin, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.
Below the worksheet links you can read our solving linear equations revision notes and worked examples with diagrams, try real GCSE past paper solving linear equations questions with step-by-step solutions, or download a PDF of all solving linear equations worksheet links.
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GCSE past paper questions & solutions
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Graded exam questions & solutions
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Practice Questions & answers
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Textbook Exercise & answers
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MME worksheet & model answers
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GCSE worksheet & solutions
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1st Class Maths (1)
Edexcel exam questions & solutions
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1st Class Maths (2)
Edexcel exam questions & solutions
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Practice sheet & answers
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GCSE 9–1 practice booklet & solutions
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Structured worksheet & solutions
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Topic worksheet & worked solutions
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Exam-style booklet & solutions
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GCSE Maths Takeaway exam questions
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Practice grid / worksheet & answers
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1st Class Maths (Edxl)
Edexcel exam questions & solutions
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1st Class Maths (AQA)
AQA exam questions & solutions
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Practice questions & answers
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GCSE topic booklet & answers
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PMT (Edxl)
Edexcel GCSE topic questions & solutions
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PMT (AQA)
AQA GCSE topic questions & solutions
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PMT (IGCSE)
Edexcel IGCSE topic questions & solutions
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Online topic notes & examples
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Interactive online lesson & practice
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Self-marking online worksheet
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Explanation:
To solve a linear equation, use inverse operations on both sides of the equals sign to isolate the unknown letter x. If the equation contains brackets, expand them first. If there is a fraction, multiply both sides by the denominator to clear it.
When the unknown x appears on both sides of the equation, start by eliminating the smaller x term from both sides so that you keep a positive number of x's, then solve the remaining two-step equation.
Example 1: Solve 7x − 4 = 3x + 18
Solution:
Example 2: Solve 3(2x − 1)5 = 9
Solution: