Single Variable: Problem Solving & Reasoning
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focused on solving equations with a single variable using substitution of positive values, designed for Year 9 students to develop procedural skills and reasoning.
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Full preview • 12 questions
Single Variable: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of x if 3x + 5 = 20.
[2 marks]2.
Solve for x: 2x - 7 = 3x + 2.
[2 marks]3.
If 4x + 3 = 19, find x.
[2 marks]4.
Plot the graph of y=2x on the provided grid. (Draw a straight line through points where x and y are positive).
[3 marks]5.
Construct a triangle on the grid with sides of length 4, 5, and 6, where the sides are aligned with the grid axes.
[3 marks]6.
Solve for x: 5x - 8 = 2x + 7.
[2 marks]7.
A car travels at a constant speed. If the distance traveled is represented by d = 60x, where x is time in hours, what is the speed of the car? (Express in km/h).
[3 marks]8.
Determine the value of x if (x + 3)/2 = 7.
[2 marks]9.
Identify and correct the mistake in solving: For 2x + 3 = 11, student says x = 4.
[2 marks]10.
Solve for x: 7x + 2 = 3x + 14.
[2 marks]11.
A rectangle has length 2x + 1 and width x. If the perimeter is 30, find x.
[3 marks]12.
Solve the quadratic equation: 3x - 2 = 4x + 1.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet