Word FOIL: Challenge & Extension
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focused on expanding double brackets using Word FOIL. Designed to challenge students in procedural mastery, problem solving, and real-world applications.
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Full preview • 13 questions
Word FOIL: Challenge & Extension
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression: (3x + 2)(x + 5).
[2 marks]2.
Expand and simplify: (x + 4)(x + 3).
[2 marks]3.
Expand: (2a + 7)(a + 1).
[2 marks]B
Problem Solving & Reasoning
Answer all questions clearly, explaining your steps where necessary.
1.
A rectangle has side lengths represented by (x + 2) and (x + 3). Express its area as an expanded algebraic expression using Word FOIL.
[3 marks]2.
A student expands (2x + 3)(x + 4) and gets 2x^2 + 11x + 12. Is this correct? If not, identify the mistake and correct it.
[3 marks]3.
A garden bed is shaped like a rectangle with sides (x + 1) meters and (x + 4) meters. Write an expression for its perimeter and simplify.
[3 marks]C
Real-world Applications
Answer all questions clearly, showing your reasoning.
1.
A toy box is described by the dimensions (x + 2), (x + 5), and (x + 1). Write an expression for its volume and expand it using Word FOIL where appropriate.
[4 marks]D
Challenge & Extension
Attempt these challenging questions to deepen your understanding.
1.
Expand and factor the expression: (3x + 2)^2 - (x + 4)^2. Show detailed working.
[4 marks]2.
Find the value of x if (x + 3)(x + 2) = 0. Show your working.
[3 marks]E
Mixed Review
Answer these questions of varying difficulty on Word FOIL.
1.
Expand: (4x - 1)(x + 6).
[2 marks]2.
If (x + 2)(x + 3) = 0, what are the solutions for x?
[2 marks]3.
Construct an expression for the area of a square with side (x + 1).
[2 marks]F
Error Analysis
Below is a common mistake made when expanding (x + 3)(x + 4). Identify and correct the mistake.
1.
Student's incorrect expansion: x^2 + 4x + 3x + 12. Is this correct? If not, what is the mistake?
[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.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet