Mastering Expanding Brackets
Mathematics
Year 9
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About This Worksheet
A worksheet covering Expanding Brackets for Year 9 students.
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Mastering Expanding Brackets
Subject: MathematicsGrade: Year 9
Name:
Date:
Untitled Worksheet
Grade Year 9
A
Introduction
Review the key concept: Expanding brackets involves distributing each term in the bracket across the other term(s). For example, (a + b)(c + d) = ac + ad + bc + bd.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression: (x + 3)(x + 5).
[2 marks]2.
Expand: 2(a + 4).
[1 mark]3.
Expand the expression: (x - 2)(x + 7).
[2 marks]4.
Expand: (3x + 2)(x - 4).
[2 marks]5.
Simplify: (x + 1)(x + 6).
[2 marks]6.
Expand: (x + 2)(x - 3).
[2 marks]7.
Factor the expansion: x^2 + 5x + 6.
[2 marks]8.
Expand: (4x - 1)(x + 2).
[2 marks]9.
Solve for x: (x + 4)(x - 1) = 0.
[2 marks]10.
Simplify: (x + 3)^2.
[2 marks]11.
Challenge: A rectangle has sides (x + 2) and (x + 5). Express its area expanded.
[3 marks]12.
Real-world: If a car's fuel efficiency decreases by (x + 1) miles per gallon when the speed increases by 10 mph, express the decrease as an expanded expression.
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet