(ax+b)(cx+d): Mixed Review
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet provides a comprehensive review of expanding double brackets of the form (ax+b)(cx+d). It includes procedural questions, reasoning problems, real-world scenarios, extensions, and error analysis to deepen understanding.
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Full preview • 11 questions
(ax+b)(cx+d): Mixed Review
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Expand and simplify: (2x + 3)(x + 4).
[2 marks]2.
Expand and simplify: (x - 5)(3x + 2).
[2 marks]3.
Calculate the product of (4x + 1)(x - 2).
[2 marks]4.
Expand and simplify: (5x + 7)(2x + 3).
[2 marks]5.
Expand and simplify: (x + 6)(x + 9).
[2 marks]6.
If (ax + b)(cx + d) = 6x^2 + 11x + 4, find possible values for a, b, c, and d.
[4 marks]7.
Expand and simplify: (3x + 2)(x + 5).
[2 marks]8.
Construct an expression in the form (ax + b)(cx + d) that results in a quadratic with a coefficient of 1 for x^2 and a constant term of -6. Use different values for a, b, c, d.
[3 marks]9.
Expand and simplify: (x + 8)(2x + 1).
[2 marks]10.
Identify and correct the mistake: (3x + 4)(x + 5) = 3x^2 + 20x + 4.
[3 marks]11.
Expand and simplify: (x - 1)(x + 7).
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet