Positive Coefficient: Error Analysis & Misconceptions
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and correcting misconceptions related to expanding brackets with positive coefficients, including error analysis and real-world contexts.
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Positive Coefficient: Error Analysis & Misconceptions
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 the expression: 3(x + 4).
[2 marks]2.
Expand the expression: 5(a + 2).
[2 marks]3.
Expand: 2(3x + 5).
[2 marks]4.
Identify the mistake in expanding: 4(x + 7) = 4x + 7.
[3 marks]5.
Expand: 6(2x + 3).
[2 marks]6.
A student incorrectly expands 2(a + 5) as 2a + 10. Is this correct? Explain your reasoning.
[3 marks]7.
Construct an expression where expanding (x + 3) results in a linear expression with a positive coefficient for x.
[3 marks]8.
Rewrite and expand: 7(y + 2).
[2 marks]9.
A common misconception is expanding 3(x + 4) as 3x + 4. Explain why this is incorrect.
[3 marks]10.
Solve: Expand and simplify 4(2x + 7).
[3 marks]11.
Challenge: Write an algebraic expression with a positive coefficient that, when expanded, results in 5x + 15.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet