Single Variable: Fluency & Practice
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet designed to develop and reinforce skills in solving equations with a single variable using substitution of positive values, suitable for GCSE Higher students.
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Full preview • 12 questions
Single Variable: Fluency & Practice
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.
Evaluate the value of x when 3x + 5 = 20.
[2 marks]2.
If y = 2x + 3 and y = 11, find the value of x.
[2 marks]3.
Solve for x: 4(x - 2) = 12.
[3 marks]4.
Find x if 2x/3 + 4 = 8.
[2 marks]5.
Calculate x when 5x - 7 = 18.
[2 marks]6.
Solve the equation: 7(x + 3) = 28.
[3 marks]7.
A scientist calculates the temperature using T = 5x + 10. If the temperature T is 40°C, what is the value of x?
[3 marks]8.
Construct a linear equation where y = 4x + 1, and find y when x = 7.
[3 marks]9.
Solve for x: 3x + 2 = 4x - 5.
[2 marks]10.
A rectangle's length is 3 times its width. If the perimeter is 48 units, find the length in terms of x, where x is the width.
[4 marks]11.
Identify and correct the mistake in solving 2x + 3 = 7 when mistakenly dividing both sides by 2.
[3 marks]12.
Challenge: If 3x + 4 = 2x + 9, find the value of x and explain each step.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet