Mastering Linear Equations
Mathematics
GCSE Higher
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A worksheet covering Linear Equations for GCSE Higher students.
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Mastering Linear Equations
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key formula: To solve a linear equation, find the value of the variable that satisfies the equation. Remember to perform inverse operations systematically.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x: 3x + 5 = 20
[2 marks]2.
Solve for y: 2y - 7 = 3y + 2
[2 marks]3.
Solve for z: 4z/2 = 10
[2 marks]4.
Solve for x: 5(x - 2) = 15
[2 marks]5.
If 2x + 3 = 7, what is the value of x?
[2 marks]6.
Solve for x: 7x - 4 = 3x + 8
[2 marks]7.
Solve x in the equation: 2(3x + 4) = 20
[2 marks]8.
Simplify and solve for x: 5x - 2x + 3 = 12
[2 marks]9.
Reasoning: If 4x + 3 = 2x + 9, what is the value of x?
[2 marks]10.
Reasoning: A rectangle has length 3x + 2 and width 2x + 5. If the perimeter is 46, find x.
[4 marks]11.
Real-world: A car rental costs $50 plus $0.20 per mile. Write an equation for the total cost y in terms of miles m. How many miles can be driven for a total cost of $90?
[4 marks]12.
Challenge: A train travels at a constant speed. It covers 150 miles in 3 hours. Write an equation to model the distance traveled d in terms of time t (in hours), and find the distance traveled in 5 hours.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet