Real-world Situations: Writing Expressions
Mathematics
Grade 7
16 questions
~32 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on translating real-world situations into algebraic expressions for Grade 7 students.
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Real-world Situations: Writing Expressions
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.
Write an expression for the total cost if one notebook costs $3 and you buy n notebooks.
[2 marks]2.
If each pen costs $2, write an expression for the total cost for p pens.
[2 marks]3.
Express the total payment for x hours if the hourly rate is $15.
[2 marks]4.
Calculate the total cost if a meal costs $12 and you buy m meals.
[2 marks]B
Problem Solving & Reasoning
Answer all questions with detailed working.
1.
A taxi charges a fixed fee of $4 plus $2 per mile. Write an expression for the total fare if the trip is x miles.
[3 marks]2.
Sarah earns $50 per week plus $10 for each hour she tutors. Write an expression for her weekly earnings if she tutors for h hours.
[3 marks]3.
A swimming pool has a fixed maintenance cost of $200 plus $0.50 per pool visit. Write an expression for total maintenance costs after v visits.
[3 marks]C
Real-world Applications
Solve these contextual problems by writing appropriate expressions.
1.
A bookstore sells pens at $2 each and notebooks at $3 each. Write an expression for the total cost if a customer buys p pens and q notebooks.
[3 marks]2.
Liam saves $5 each week from his allowance. Write an expression for his total savings after w weeks.
[3 marks]3.
A concert ticket costs $40 plus a $5 service fee. Write an expression for the total cost if x tickets are purchased.
[3 marks]D
Challenge & Extension
Attempt these more difficult problems to extend your understanding.
1.
A car rental charges $50 per day plus $0.20 per mile. Write an expression for the total cost if the car is rented for d days and driven m miles.
[4 marks]2.
A phone plan costs $30 monthly plus $0.10 per minute of calls. Write an expression for the total cost after m minutes.
[4 marks]E
Mixed Review
Solve a variety of questions on real-world situations.
1.
Express the total cost of x apples at $1.50 each and y oranges at $2 each.
[2 marks]2.
A gym charges a one-time registration fee of $20 plus $10 per session. Write an expression for the total cost after s sessions.
[3 marks]F
Error Analysis
Identify and correct the common mistake in each problem.
1.
A student wrote the expression for total tickets as 40 + x, but the cost is $40 per ticket. What is the correct expression?
[2 marks]2.
A taxi fare was calculated as 4 + 2x, but the fixed fee is $4 and the per mile cost is $3. What is the correct expression?
[2 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