Solutions to Linear Systems
Free to teach as-is — the teacher guide, student handout, and slides are included.
Free — we'll email you an access link. Google Docs format.
Objective
I can determine the number of solutions to a system of linear equations by analyzing its graph or algebraic representation.
Part 1 of 3
Warm-up video
Unknown Channel · 5:00
We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
Describe the graphical representation of a system of linear equations that has no solution.
Explain how you can determine if a system of two linear equations has exactly one solution by looking at their graphs.
Part 3 of 3
Exit ticket
Quick comprehension check
“A system of two linear equations, y = 3x + 5 and y = 3x - 2, is graphed. How many solutions does this system have? A system of two linear equations is graphed, and the two lines intersect at a single point. How many solutions does this system have? A system of two linear equations, y = 2x + 1 and 2y = 4x + 2, is graphed. How many solutions does this system have?”
Sample answer included in the free materials
Get the materials
Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
Complete lesson plan with answer keys and alternate activities
Student Handout
Printable worksheet
Slides
Ready to present
We'll ask for your email to send your access link — nothing else.
Teaching a group at a different level?
Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.
Adapt This Lesson

