x + a = b: Challenge & Extension
Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on solving one-step equations of the form x + a = b, including practice, problem solving, real-world scenarios, and extension questions.
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x + a = b: Challenge & Extension
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Solve the following equations for x. Show your working in the grid spaces provided.
1.
Solve for x: x + 5 = 12
[1 mark]2.
Solve for x: x + (-3) = 4
[1 mark]3.
Solve for x: x + 0 = -8
[1 mark]B
Problem Solving & Reasoning
Solve the multi-step problems and explain your reasoning in the provided space.
1.
If x + 3 = 10, what is the value of x? Explain your steps.
[3 marks]2.
A number increased by 8 equals 15. Find the number and explain your process.
[3 marks]C
Real-World Applications
Apply your knowledge to solve these contextual problems.
1.
A tennis match score increases by 2 points each game. If a player has 14 points, how many games have they played? Show your working.
[3 marks]D
Challenge & Extension
Tackle these more difficult problems involving x + a = b. Use your reasoning skills.
1.
Solve for x: x + 12 = 25. Then verify your answer by substitution.
[2 marks]2.
Find the value of x if (x + 4) + 3 = 10. Show your working.
[2 marks]E
Mixed Review
Answer the variety of questions below to test your understanding.
1.
Solve for x: x + (-5) = 0
[1 mark]2.
Construct an equation of the form x + a = b where x = 10.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet