Real World Systems of Linear Equations | Project Based Learning

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Algebra and Beyond
Grade Levels
7th - 9th
Resource Type
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9 pages
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Students will analyze systems of equations in the real world.


Note to Teacher

Project Handout (PDF file & 100% Editable PPT file)

  • Part A & B: (2 versions for differentiation) Students research the growth of a tree and write an equation to represent the growth. Then, they determine when their tree will be the same height as my tree, which was planted five years ago. They find their solution using the substitution or elimination method.
  • Part C: Create a graph to show the system.
  • Part D: Analyze the results.
  • Part E: Create a visual of the tree and some facts about the tree.

Answer Key: All 40 scenarios for the different growth rates has been calculated, including the possible solutions. Answers to all the analytical questions.

Rubric (PPT file): 100% editable

Student Sign-Up Sheet: Excel sheet for students to choose their tree and the growth rate

Example Visual (PDF file): An example of Part E to show students.

Check out the PREVIEW to see what skills are covered and more details of this fun project!!!


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This product is intended for personal use in one classroom only. For use in multiple classrooms, please purchase additional licenses.

Total Pages
9 pages
Answer Key
Teaching Duration
2 days
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to see state-specific standards (only available in the US).
Analyze and solve pairs of simultaneous linear equations.
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.


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