ax + b = c: Challenge & Extension
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge Grade 6 students on solving two-step equations of the form ax + b = c, with varied question types including practice, reasoning, real-world scenarios, and extension problems.
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ax + b = c: Challenge & Extension
Subject: MathematicsGrade: Grade 6
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Date:
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: 3x + 5 = 20.
[2 marks]2.
Find the value of x: 2( x - 3 ) + 4 = 10.
[3 marks]3.
If 4x - 7 = 9, what is the value of x?
[2 marks]4.
Solve for x: 5x + 2 = 17.
[2 marks]5.
Construct an equation of the form ax + b = c where a=2, b=–4, and c=6, and solve for x.
[3 marks]6.
Solve the equation: 7(x + 2) = 35.
[2 marks]7.
A rectangle's length is 3 times its width. If the perimeter is 48 units, find the length and width.
[4 marks]8.
Solve for x: 2(3x - 4) + 5 = 17.
[3 marks]9.
Solve the equation: 6x - 3 = 2x + 9.
[2 marks]10.
A store sells x notebooks at $4 each and y pens at $2 each. If the total cost is $20, and x + y = 6, find x and y.
[4 marks]11.
An equation is given as 2x + 3 = 2x + 5. Explain the mistake and correct it.
[3 marks]12.
Solve for x: 8(x - 1) + 2 = 18.
[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