MathsFreePrintable
Algebraic Modelling Real-World
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
Algebraic Modelling Real-World
Use algebra to represent everyday situations, explain what an expression means and interpret solutions in context.
Build an expression
Write expressions using the variable given. Include dollar signs where appropriate.
1.A community cinema charges $13 for each ticket and adds one $4 online booking fee to an order. Which expression gives the cost of an order of t tickets?
- 13 + 4t
- 13t + 4
- 17t
- 13t
2.A rideshare fare has a $5.20 starting charge, then costs $1.80 per kilometre. Write an expression for a trip of k kilometres.
3.Evie practises guitar for 18 minutes each weekday and 30 minutes each weekend day. For a seven-day week, write an expression for his total practice time, using w for the number of weeks.
4.Which situations can be represented by 6n + 12? Select all that apply.
- Buying n notebooks at $6 each and paying $12 postage
- Paying a $12 entry fee plus $6 for each of n rides
- Earning $12 per hour for n hours, then receiving a $6 bonus
- Buying 12 items at $6 each, plus n more items
Use and explain a model
Substitute values and connect each part of an expression to the situation.
5.A mobile plan costs $28 per month and charges $0.40 for each text sent beyond the included allowance. Let e be the number of extra texts. Write an expression for the monthly cost.
6.Using the mobile plan model, find the monthly cost when e = 75 extra texts.
7.For the mobile plan model 28 + 0.40e, explain what the 28 and 0.40 represent.
8.Create a real-world situation that could be modelled by 9x + 15. State what x represents and explain what 9 and 15 mean in your situation.
9.A bake sale earns $5 for each muffin sold and has $45 in ingredient costs. Write an expression for the profit after selling m muffins.
10.Using the bake sale profit model 5m − 45, how many muffins must be sold to break even? Show how you know.
2 printable pages
Page 1
Page 2
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
