Matching Coefficients: Problem Solving & Reasoning
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on matching coefficients to solve simultaneous equations, including procedural practice, problem solving, real-world applications, challenges, and error analysis.
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Matching Coefficients: Problem Solving & Reasoning
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 the system of equations by matching coefficients: 3x + 2y = 10 and 6x + 4y = ?
[2 marks]2.
Find the value of x and y: 5x - y = 7 and 10x - 2y = ?
[3 marks]3.
Construct a pair of equations where the coefficients of y are the same but the coefficients of x are double, with solutions x=3, y=2.
[3 marks]4.
Explain why matching coefficients works to solve the system: 4x + 3y = 12 and 8x + 6y = ?
[4 marks]5.
A farmer is planning two fencing options. Option 1: 2x + y = 10. Option 2: 4x + 2y = ?. Find the total cost if x and y represent costs per unit.
[4 marks]6.
Solve for x and y: 7x + 3y = 19 and 14x + 6y = ?
[2 marks]7.
Construct equations with coefficients of x matching and coefficients of y double, with solutions x=4, y=1.
[3 marks]8.
A boat sails downstream and upstream. Downstream: 3x + y = 15; upstream: 3x - y = ?. Find the total distance traveled.
[4 marks]9.
Solve: 2x + y = 8 and 4x + 2y = ?
[2 marks]10.
Identify the error in the following equations and correct it: 5x + 2y = 14 and 10x + 4y = 15.
[4 marks]11.
Challenge: Create a system of equations where the coefficients match but the solutions differ, and solve for the variables.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet