Variables Both Sides: Real-world Applications
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on solving multi-step equations with variables on both sides, contextualized through real-world applications for GCSE Higher students.
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Variables Both Sides: Real-world Applications
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.
Simplify and solve for x: 3x + 5 = 2x + 9.
[2 marks]2.
Solve for y: 4(2y - 3) = 3(y + 2) + 5.
[3 marks]3.
If 5x - 2 = 3x + 8, find x.
[2 marks]4.
Solve the equation: 2(3x + 4) = 4x + 10.
[2 marks]5.
Solve for x: 7x + 3 = 2(4x - 1).
[2 marks]6.
A shop sells pencils and erasers. The total cost is £8. If each pencil costs £1 and each eraser costs £x, and the total number of items is 10, find x if the total cost is still £8.
[4 marks]7.
A rectangle's length is 3 meters more than twice its width. Write an equation to find the width if the perimeter is 30 meters.
[4 marks]8.
Construct an equation where x represents the number of tickets sold. The total revenue is £150. Each ticket costs £x. Write the equation assuming the total revenue equals the price per ticket times number sold.
[4 marks]9.
Solve for y: 2(3y - 4) = y + 8.
[3 marks]10.
A school bus has x seats more than twice the number of rows. If there are 54 seats, write and solve an equation to find the number of rows.
[4 marks]11.
Solve the equation: 5(2x + 3) = 3(4x - 1) + 7.
[3 marks]12.
Identify the mistake in this solution and correct it: 2x + 3 = 2x + 5, so x = 1.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet