Negative Coefficient: Real-world Applications
Mathematics
Grade 7
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on expanding single brackets with negative coefficients through real-world contexts and varied practice.
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Negative Coefficient: Real-world Applications
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Expand the expression: -(3x + 4).
[2 marks]2.
Simplify: -2(5x - 7).
[2 marks]3.
Expand: -(x + 6).
[2 marks]B
Problem Solving & Reasoning
Solve the following multi-step problems. Explain your reasoning clearly.
1.
A car's speed decreases by 5 km/h each hour. Write an expression for the total decrease after x hours, and expand it when x = 4.
[3 marks]2.
A rectangle’s length is decreased by 3 units and width increased by 2 units. Write the algebraic expression for the change in area and expand when length decreases by 3 and width increases by 2.
[3 marks]C
Real-world Applications
Solve these contextual problems involving negative coefficients.
1.
A bank account has an overdraft fee of $15 plus an additional $2 for each day the account remains overdrawn. Write an expression for the total fee after x days and expand when x=3.
[3 marks]2.
A hiker descends a mountain at a rate of 8 meters per hour. Write an expression for total descent after x hours, and expand for x=5.
[3 marks]D
Challenge & Extension
Attempt these advanced problems to extend your understanding.
1.
Expand and simplify: -(2x - 3)(x + 4).
[4 marks]2.
A solution contains an amount of -5 liters of salt, which is increased by 2 liters every hour. Write the expression for salt after x hours and expand for x=6.
[3 marks]E
Mixed Review
Review with a variety of question types.
1.
Factor the expression: - (x + 5).
[2 marks]2.
Expand: -(x - 2)(x + 3).
[3 marks]F
Error Analysis
Identify and correct the common mistakes in the following expressions.
1.
A student expands -(x + 4) as -x + 4. Correct the mistake and write the correct expansion.
[3 marks]2.
A student claims that -2(x - 3) = -2x - 3. Identify the error and provide the correct expansion.
[3 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