Negatives: Challenge & Extension

Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on expanding double brackets involving negative numbers, designed for challenge and extension. It includes procedural questions, reasoning, real-world contexts, and extension problems to deepen understanding of negatives in algebra.

Worksheet Preview

Full preview • 11 questions

Negatives: Challenge & Extension

Subject: MathematicsGrade: Grade 6
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Untitled Worksheet

Grade Grade 6
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression: (3x - 4)(x + 5).
[2 marks]
2.
Expand the expression: (2x + 7)(-x - 3).
[2 marks]
3.
Calculate the expansion of: (-x + 2)(4x - 5).
[2 marks]
4.
Expand and simplify: (5x - 3)(-2x + 4).
[2 marks]
5.
Expand: (-x - 2)(x + 3).
[2 marks]
6.
If (x + 4)(x - 5) = x^2 - x - 20, what is the expansion of (x - 4)(x + 5)?
[3 marks]
7.
Solve and expand: (2x + 3)(-x + 4).
[3 marks]
8.
Construct a double bracket expression with a negative term that expands to 6x^2 - 11x + 4. Provide the factors.
[4 marks]
9.
Identify and correct the mistake in the expansion: (-x + 3)(x - 2) = -x^2 + 6x - 6.
[3 marks]
10.
Expand: (-2x + 5)(-x - 3).
[2 marks]
11.
Plot the graph of y = -2x + 4 for x values from -3 to 3 on the grid.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet