Solutions to Linear Systems

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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

1

Describe the graphical representation of a system of linear equations that has no solution.

2

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

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  • Teacher Guide

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