Real-world Situations: Mixed Review
Mathematics
Grade 8
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet covering Writing Expressions in real-world contexts for Grade 8 students, including procedural, application, and challenge problems.
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Real-world Situations: Mixed Review
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.
Write an algebraic expression for the total cost if each item costs $15 and you buy x items.
[2 marks]2.
Express the total distance traveled if a car drives at 60 miles per hour for t hours.
[2 marks]3.
Simplify the expression: 3(2x + 4) - x.
[3 marks]4.
If a rectangle has a length of (x + 3) and width of (x - 2), write an expression for its perimeter.
[3 marks]B
Problem Solving & Reasoning
Answer all questions. Show your reasoning clearly.
1.
A concert venue sells tickets at $50 each. If the total revenue from ticket sales is $5,000, how many tickets were sold? Write an algebraic expression and solve.
[4 marks]2.
A gardener plants x apple trees and y orange trees. If each apple tree produces 20 apples and each orange tree produces 30 oranges, write an expression for the total number of fruits produced.
[3 marks]3.
A taxi charges a base fee plus $2 per mile. Write an expression for the total fare if the ride is t miles.
[2 marks]C
Real-world Applications
Answer all questions. Use the grid as needed for your drawings.
1.
A phone plan costs $30 per month plus $0.10 per text message. Write an expression for the total monthly cost if x messages are sent.
[3 marks]2.
A factory produces y units of product each day. If the monthly production is 20% more than y times the number of days in the month, write an expression for the total monthly production assuming 30 days.
[4 marks]D
Challenge & Extension
Attempt these challenging questions to extend your understanding.
1.
A bike rental charges $15 per hour plus a one-time fee of $8. If total cost is c, write an expression for the number of hours x in terms of c.
[4 marks]2.
Construct an algebraic expression for the total cost of buying x shirts at $12 each and y hats at $8 each.
[3 marks]E
Mixed Review & Error Analysis
Review your answers and identify any mistakes. For each error, explain how to correct it.
1.
A worker earns $20 per hour plus a fixed bonus of $50. Write an expression for earnings based on hours worked x. If a student wrote 20x + 50 as the expression, is this correct? Why or why not?
[3 marks]2.
Identify and correct the mistake: The total cost of y items at $7 each is 7 + y.
[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