Mastering Simultaneous Equations
Mathematics
Grade 8
1 questions
~2 mins
0 views0 downloads
About This Worksheet
A worksheet covering Simultaneous Equations for Grade 8 students.
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Mastering Simultaneous Equations
Subject: MathematicsGrade: Grade 8
Name:
Date:
Untitled Worksheet
Grade Grade 8
A
Introduction
Read the brief explanation below before attempting the questions.
1.
Simultaneous equations involve solving two or more equations with multiple variables at the same time. Common methods include substitution and elimination. Mastering these techniques allows you to find the values of the variables that satisfy all equations simultaneously.
[2 marks]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Solve for x and y:
2x + y = 10
x - y = 2
[3 marks]2.
Solve for x and y:
3x + 2y = 12
x + y = 4
[3 marks]3.
If 5x - y = 9 and x + 2y = 8, find x and y.
[3 marks]4.
Solve for x and y:
4x - y = 7
2x + y = 5
[3 marks]5.
Express y in terms of x from the first equation: 2x + y = 8.
[2 marks]6.
Using substitution, solve the system:
y = 3x + 1
x + y = 9
[3 marks]7.
Solve for x and y:
2x + 3y = 13
x - y = 1
[3 marks]8.
Reasoning: If 3x + y = 7 and 2x + y = 5, what is the value of x and y?
[4 marks]9.
Determine x and y if:
5x + 4y = 20
x - y = 3
[3 marks]10.
Challenge: A boat rental company charges a fixed fee plus a per-hour rate. If renting for 3 hours costs $45 and 5 hours costs $65, find the fixed fee and the hourly rate using simultaneous equations.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet