Mastering Expanding Brackets
Mathematics
GCSE Foundation
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A worksheet covering Expanding Brackets for GCSE Foundation students.
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Mastering Expanding Brackets
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the key concept: expanding brackets involves distributing each term inside the brackets across the term outside. For example, (a + b)(c + d) expands to ac + ad + bc + bd.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression: (2x + 3)(x + 4)
[3 marks]2.
Expand the expression: (a + 5)(a - 2)
[3 marks]3.
Expand: (3x - 2)(x + 7)
[3 marks]4.
Expand: (4m + 1)(m - 3)
[3 marks]5.
If (x + 2)(x + 5) is expanded, what is the quadratic expression?
[2 marks]6.
Expand: (y - 3)(2y + 4)
[3 marks]7.
Simplify by expanding: (x + 1)(x - 4) + (x + 2)(x + 3)
[4 marks]8.
Reasoning: Why does distributing each term ensure the expression is fully expanded?
[2 marks]9.
Apply expanding brackets to solve for x: (x + 3)(x - 2) = 0
[3 marks]10.
Challenge: A rectangle's length is (x + 4) meters and width is (x - 1) meters. Expand the expression for its area.
[4 marks]11.
Real-world application: A garden is designed as a rectangular shape with a length of (3x + 2) meters and a width of (x + 5) meters. Expand the expression for the area of the garden.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet