ax² + bx + c: Fluency & Practice
Mathematics
Grade 7
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet designed to help Grade 7 students master the factorisation of quadratic expressions of the form ax² + bx + c, where a ≠ 1. It includes procedural questions, reasoning, real-world problems, and extension challenges.
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ax² + bx + c: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Factorise the quadratic expression 6x² + 11x + 3.
[2 marks]2.
Solve for x: 4x² - 12x - 16 = 0 by factorising.
[3 marks]3.
Factorise 8x² + 10x + 3 and verify your factorisation.
[3 marks]4.
Construct a quadratic expression with roots at x=2 and x=-3, with a leading coefficient of 2.
[4 marks]5.
Factorise completely: 9x² - 24x + 16.
[2 marks]6.
A rectangle's area is given by the quadratic expression 5x² + 7x. If x represents the length in meters, find the dimensions of the rectangle when the area is maximized.
[5 marks]7.
Determine whether the quadratic 2x² + 5x + 4 can be factored over integers. Show your working.
[3 marks]8.
Factorise 12x² + 7x - 5.
[2 marks]9.
Identify and correct the mistake in the factorisation: 4x² + 4x + 1 = (2x + 1)(2x + 1).
[4 marks]10.
Given the quadratic 3x² + 15x + 18, factorise and find the roots.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet