Variables Both Sides: Fluency & Practice

Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on solving multi-step equations with variables on both sides, designed to build procedural fluency, problem-solving skills, and understanding of common mistakes.

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Full preview • 12 questions

Variables Both Sides: Fluency & Practice

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.
Solve for x: 3x + 5 = 2x + 9.
[2 marks]
2.
Find x: 4(x - 2) = 2x + 6.
[2 marks]
3.
Determine x: 5x - 3 = 2x + 9.
[2 marks]
4.
Solve: 2(3x + 4) = 4x + 10.
[2 marks]
5.
Construct an equation with variables on both sides that simplifies to x = 5. Write the equation.
[3 marks]
6.
Solve for x: 7x - 4 = 3x + 8.
[2 marks]
7.
A student solves: 2x + 3 = x + 5. Their answer is x = 2. Is this correct? Explain why or why not.
[3 marks]
8.
Solve: 5(2x - 1) = 3x + 7.
[2 marks]
9.
Find x: 6x + 2 = 2(3x + 5).
[2 marks]
10.
Solve for x: 2x - 4 = x + 6.
[2 marks]
11.
If an equation is 3x + 2 = 2x + 4, what is the value of x? Show your steps.
[3 marks]
12.
Identify and correct the mistake in solving 4x + 5 = 4x + 3.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet