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 outside the bracket across all terms inside the bracket. Remember the distributive property: a(b + c) = ab + ac.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression: 3(a + 4)
[2 marks]2.
Expand: 2(3x - 5)
[2 marks]3.
Expand: -4(2y + 3)
[2 marks]4.
Expand: (x + 5)(x - 2)
[3 marks]5.
Simplify the expansion of: (2a + 3)(a - 4)
[3 marks]6.
Expand: -x(2x + 7)
[2 marks]7.
Explain why expanding brackets is useful in simplifying algebraic expressions.
[3 marks]8.
A rectangle's length is represented by 2(x + 3) and its width by 4(x - 2). Find the expression for its perimeter after expansion.
[4 marks]9.
If (x + 2)(x + 5) = x^2 + 7x + 10, expand (x + 2)(x + 5) to verify the expansion.
[3 marks]10.
Challenge: A company designs a rectangular garden. The length is (x + 4) meters, and the width is (2x - 1) meters. Write an expression for the total area after expanding.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet