ax + b = c: Fluency & Practice
Mathematics
GCSE Higher
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on solving two-step equations of the form ax + b = c to develop procedural fluency for GCSE Higher students.
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ax + b = c: 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.
Solve for x: 3x + 5 = 20.
[2 marks]2.
Solve for x: 7x - 2 = 19.
[2 marks]3.
Solve for x: 2x + 3 = 11.
[2 marks]4.
Solve for x: 5x + 4 = 29.
[2 marks]5.
Solve for x: 4x - 7 = 9.
[2 marks]6.
Solve for x: 2(3x + 1) = 16.
[3 marks]7.
Solve for x: 5x - 3 = 2x + 4.
[3 marks]8.
Solve for x: 6(2x - 1) + 3 = 27.
[3 marks]9.
Solve for x: 8x + 2 = 3x + 17.
[3 marks]10.
Construct a linear equation of the form ax + b = c where x = 4 results in the value 18.
[3 marks]11.
A car rental company charges a fixed fee plus a rate per mile. If a total of £40 is paid for 10 miles and £55 for 15 miles, find the fixed fee and the rate per mile. Write the equation and solve.
[4 marks]12.
A rectangle's length is 3 times its width plus 2. If the perimeter is 50 units, find the length and width.
[4 marks]13.
Solve the equation 2(4x - 1) + 3 = 19 and explain each step.
[4 marks]14.
Identify and correct the mistake in solving: 5x + 2 = 12, given x = 3.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet