Negatives in Gaming & Technology: Real-world Applications
Mathematics
Grade 8
15 questions
~30 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the concept of negatives through real-world gaming and technology scenarios, focusing on expanding double brackets.
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Negatives in Gaming & Technology: Real-world Applications
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Expand (x - 3)(x + 5).
[2 marks]2.
Calculate the expansion of (2x - 4)(x + 7).
[3 marks]3.
Expand and simplify: (x - 6)(x - 2).
[2 marks]4.
Expand (3x + 4)(x - 5).
[2 marks]B
Problem Solving & Reasoning
Answer all questions with detailed working.
1.
A gaming character's strength is modeled by (x - 2)(x + 4). If the strength decreases by expanding the brackets, what is the new strength expression after expansion? Explain your reasoning.
[4 marks]2.
In a tech simulation, the performance score is calculated using (x - 5)(x + 3). If the score drops when expanding due to a bug, what is the expanded expression? Show your working.
[3 marks]3.
A game developer models the effect of negative buffs using (x + 4)(x - 7). Expand this to predict overall impact.
[2 marks]C
Real-world Applications
Read the scenarios carefully and solve the problems.
1.
In a virtual gaming environment, a player's score change is modeled by (x - 10)(x + 2). If the player's score drops by expanding the brackets, what is the new score expression? Explain the significance of the negative term.
[4 marks]2.
A tech gadget's efficiency drops based on a model (x - 3)(x - 8). Expand and interpret the negative coefficients in terms of performance loss.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems.
1.
Expand and simplify (x - 4)(x - 6), then analyze how the negative terms affect the quadratic's roots. Explain your reasoning.
[4 marks]2.
Construct the expansion of (2x - 5)(x - 9) and identify the impact of negative coefficients on game scoring models.
[3 marks]E
Mixed Review
Solve these varied questions on negatives.
1.
If expanding (x - 3)(x + 4) results in a quadratic, identify the sign and significance of each term.
[2 marks]2.
Expand (x + 2)(x + 5) and compare with similar expressions involving negatives.
[2 marks]F
Error Analysis
Review these common mistakes and identify or correct the errors.
1.
A student expands (x - 3)(x + 4) and writes the answer as x^2 + 7x. What is the mistake, and what is the correct expansion?
[3 marks]2.
Identify the error in expanding (2x - 3)(x + 5) as 2x^2 + 15x, and provide the correct expansion.
[3 marks]Quick Actions
What is Remix?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet