Variables Both Sides: Mixed Review
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet covering Multi-Step Equations involving Variables on Both Sides for GCSE Higher students. It includes a variety of questions to develop procedural skills, problem-solving ability, and real-world application.
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Full preview • 12 questions
Variables Both Sides: Mixed Review
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: 3x + 5 = 2x + 8.
[2 marks]2.
Solve for y: 4(y - 2) = 2(y + 3).
[2 marks]3.
Simplify and solve: 2x + 3 = x + 7.
[2 marks]4.
Solve for z: 5z - 2 = 3z + 4.
[2 marks]5.
Solve: 2(3x - 4) = 4x + 6.
[3 marks]6.
If 2x + 3 = 3x - 2, what is the value of x?
[2 marks]7.
Solve for n: 7n + 4 = 2n + 19.
[2 marks]8.
A classroom has 2x + 5 chairs, and the total number of chairs is 21. Find x.
[3 marks]9.
A rectangle's length is 3x + 2, and its width is x + 4. If the perimeter is 50 units, find x.
[3 marks]10.
Solve for p: 4(2p - 1) + 3 = 2(3p + 2).
[3 marks]11.
Common mistake: Solve 5x - 3 = 2x + 4 by subtracting 2x from both sides and then adding 3. What is the incorrect solution, and identify the mistake?
[4 marks]12.
Challenge: Solve for x: (x + 3)/2 = (3x - 1)/4.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet