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 concepts of linear equations, including solving for the variable and understanding the slope-intercept form y = mx + c.
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.
Simplify and solve for x: 4( x - 2 ) = 2x + 6
[3 marks]4.
Solve for x: 5x - 3 = 2x + 9
[2 marks]5.
If y = 2x + 1, find y when x = 4.
[3 marks]6.
Determine the value of x: 7x + 2 = 3x + 14
[2 marks]7.
Given the equation y = 4x - 5, find the value of y when x = -2.
[3 marks]8.
Solve for x: 2(3x - 4) = 5x + 2
[3 marks]9.
If the line passes through points (2, 3) and (4, y), find y.
[3 marks]10.
Solve for x: 6x + 7 = 2x + 19
[2 marks]11.
Challenge: A farmer's field is represented by the linear equation y = 2x + 10. If the farmer wants the field to have an area of 50 square units, and x is the length in units, what should be the value of x?
[4 marks]12.
Real-world: A car rental company charges a flat fee plus a per-day rate. The total cost C in pounds for renting a car for d days is given by C = 40 + 15d. How much will it cost for 7 days?
[4 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet