Positive Coefficient: Challenge & Extension
Mathematics
Grade 8
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on expanding brackets with positive coefficients, including procedural practice, reasoning, real-world applications, and extension challenges.
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Positive Coefficient: Challenge & Extension
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Expand each bracket fully. Show your working in the grid spaces provided.
1.
Expand: 3(x + 4)
[2 marks]2.
Expand: 5(2x + 7)
[2 marks]3.
Expand: 4(3x + 2)
[2 marks]B
Problem Solving & Reasoning
Solve the multi-step problems below. Show your detailed working.
1.
Expand and simplify: 2(3x + 5) + 4(x + 2)
[3 marks]2.
If a car's total cost is given by 100( x + 3 ), find the total cost when x = 5.
[3 marks]C
Real-world Applications
Apply your expanding skills to these contextual problems.
1.
A rectangle has length 2(x + 3). If x = 4, what is the length?
[2 marks]2.
A school buys 5(3x + 2) notebooks. How many notebooks are bought when x=6?
[2 marks]D
Challenge & Extension
Tackle these advanced questions to deepen your understanding.
1.
Expand: (x + 2)(x + 5). Show your work.
[3 marks]2.
Express the expansion of 7(2x + 3) + 3(x + 4) in simplified form.
[3 marks]E
Mixed Review
Answer these questions to review different aspects of expanding brackets with positive coefficients.
1.
Identify the mistake: Expand 4(x + 3) = 4x + 12. Is this correct? Why or why not?
[2 marks]2.
Simplify: 3(2x + 4) + 2(x + 1).
[2 marks]F
Error Analysis
Identify the common mistakes in these expansion problems and correct them.
1.
Error: Expanding 3(x + 4) as 3x + 4. What's wrong and how to fix it?
[2 marks]2.
Expand: 2(x + 5) = 2x + 5. Identify the mistake and provide the correct expansion.
[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