Solving Systems by Graphing

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Objective

I can graph two linear equations and determine if the system has one solution, no solution, or infinitely many solutions.

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

2 questions

1

Graph the following system of equations: y = x + 1 y = -x + 5 What is the solution to this system of equations?

2

Two friends, Alex and Ben, are saving money. Alex starts with $2 and saves $3 every week. Ben starts with $8 and saves $1 every week. The amount of money each friend has can be represented by the following equations, where y is the amount of money and x is the number of weeks: Alex: y = 3x + 2 Ben: y = x + 8 Graph these two equations. After how many weeks will Alex and Ben have the same amount of money? How much money will they each have at that time?

Part 3 of 3

Exit ticket

Quick comprehension check

Graph the following system of equations: y = x + 2 y = -x + 6 How many solutions does this system have? Graph the following system of equations: y = 2x - 1 y = 2x + 3 How many solutions does this system have?

Sample answer included in the free materials

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