Careful with Signs: Real-world Applications
Mathematics
Year 9
17 questions
~34 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the importance of signs when substituting negative values into algebraic expressions, with real-world contexts and problem-solving scenarios.
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Full preview • 17 questions
Careful with Signs: Real-world Applications
Subject: MathematicsGrade: Year 9
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of 3 - (-5).
[1 mark]2.
Evaluate 7 + (-3) and 7 - (-3).
[2 marks]3.
Simplify: -(-6) + 4.
[1 mark]4.
Calculate 12 - (-8).
[1 mark]B
Problem Solving & Reasoning
Answer all questions showing detailed working.
1.
A submarine is at a depth of -150 meters below sea level. It ascends 60 meters and then descends another 80 meters. What is its final depth?
[3 marks]2.
A bank account has a balance of -$200. If the bank deposists $150, what is the new balance?
[3 marks]3.
A temperature drops from 5°C to -10°C. How much has the temperature decreased?
[2 marks]C
Real-world Applications
Solve these contextual problems involving signs and substitution.
1.
A hiker starts at an elevation of 500 meters above sea level. They descend 300 meters, then ascend 150 meters. What is their final elevation?
[3 marks]2.
A stock price drops from $120 to -$30 (negative indicating a loss). What is the total change in the stock's value?
[2 marks]3.
A submarine dives to -200 meters and then ascends 50 meters. What is its new depth?
[2 marks]D
Challenge & Extension
Attempt these more difficult problems involving careful sign handling.
1.
Evaluate the expression: -(-3) + -4 - (-2).
[2 marks]2.
A boat is at position 0 on a river. It moves 60 meters downstream, then 100 meters upstream, then 40 meters downstream. What is its final position?
[3 marks]E
Mixed Review
Answer these questions to review your understanding of signs and substitution.
1.
If x = -4, evaluate 2x + |x|.
[2 marks]2.
Identify the mistake: Simplify -(-7) - 3 = 7 - 3.
3.
Solve for y: y = - (x - 5), when x = -2.
[2 marks]F
Error Analysis
Below are common mistakes made when handling signs during substitution. Identify and correct the errors.
1.
Incorrect: -(-8) = -8. Correct the mistake and explain why.
2.
Incorrect: 5 - (-2) = 3. Correct the mistake and explain why.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet