Expand First: Problem Solving & Reasoning
Mathematics
Grade 7
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on expanding brackets first before simplifying, aimed at Grade 7 students. Includes procedural practice, problem-solving, real-world applications, and extension questions.
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Expand First: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction
When expanding expressions with brackets, the key step is to distribute each term outside the brackets across all terms inside the brackets. This process is often called the distributive property. Once expanded, you can then simplify the expression by combining like terms.
B
Fluency & Practice
Answer the following questions to practice expanding brackets.
1.
Expand the expression: 3(x + 4).
[2 marks]2.
Expand: 2(5x - 3).
[2 marks]3.
Expand: -4(2x + 7).
[2 marks]4.
Expand: 7(3x - 2) + 4(x + 5).
[4 marks]C
Target Level Practice
Solve these problems involving expanding brackets in more complex expressions.
1.
Expand and simplify: 4(2x - 3) + 3(5x + 2).
[4 marks]2.
Expand: -2(3x + 4) - (x - 5).
[4 marks]3.
Expand: (x + 3)(x - 2).
[4 marks]4.
Expand: (2x - 5)(x + 4).
[4 marks]5.
Expand and simplify: -3(4x - 1) + 2(3x + 5).
[4 marks]D
Word Problems & Real-world Applications
Apply your expanding skills to solve these contextual problems.
1.
A rectangle's length is given by 2(x + 3) meters, and its width is x - 2 meters. Expand the expressions for length and width and then find the total perimeter in terms of x.
[4 marks]2.
A company produces (x + 5) boxes each containing (2x - 3) items. Expand to find the total number of items in terms of x.
[4 marks]E
Challenge & Extension
Tackle these advanced problems involving expansion.
1.
Express the product (3x + 2)(x^2 - 4x + 5) by expanding fully.
[4 marks]2.
If (x + 4)^2 = (x + 4)(x + 4), expand and simplify the expression.
[4 marks]F
Mixed Review & Error Analysis
Answer the following questions, and review common mistakes.
1.
Identify and correct the mistake: Expand 5(2x - 3) as 10x - 3.
[2 marks]2.
Expand: -2(x + 7) + 3(x - 2).
[4 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