Mastering Expanding Brackets
Mathematics
GCSE Higher
1 questions
~2 mins
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About This Worksheet
A worksheet covering Expanding Brackets for GCSE Higher students.
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Mastering Expanding Brackets
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Read the following brief explanation before attempting the questions.
1.
Expanding brackets involves multiplying each term inside a bracket by a term outside the bracket. For example, (a + b)(c + d) expands to ac + ad + bc + bd.
[2 marks]B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression: 3(x + 4)
[2 marks]2.
Expand: (x - 5)(x + 2)
[2 marks]3.
Expand: 2(2x + 7)
[2 marks]4.
Expand: (x + 3)(x - 4)
[2 marks]5.
What is the expanded form of: 5(2x - 3)?
[2 marks]6.
If (x + 2)(x - 3) = x^2 + px + q, find p and q.
[3 marks]7.
Expand: (2x - 1)(x + 4) and simplify.
[3 marks]8.
Solve for x: (x + 3)(x - 5) = 0
[3 marks]9.
Expand and simplify: (x + 7)(x + 2)
[2 marks]10.
A rectangle has sides (x + 2) and (x - 3). Write an expression for its area after expanding the brackets.
[4 marks]11.
Challenge: A product of two binomials is given by (x + 4)(x - 2). Find the quadratic expression and factor it completely.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet