Unit 4 Intro: System of Linear Equations

Instructions

Learning Objective: 
Students will analyze and solve systems of equations to determine the intersection points of linear relationships in real-world scenarios.

Success Criteria:
Identify systems of equations in real-world problems and represent them mathematically.
Graph linear equations on a coordinate plane to visualize their intersection points.
Explain the significance of the intersection points in the context of the given real-world scenario.

Word Problem: TikTok Influencer Brand Deal

Taylor, a TikTok influencer, is working on a brand deal with a clothing company. They get paid two ways:
$50 upfront for signing the deal.
$200 per sponsored post they create.
Their friend Alex, another influencer, has a deal with a different company and gets no upfront payment but earns $250 per sponsored post.

1

Create an equation to represent the earning($) for both friends. 

Taylor's Equation: 
$50 upfront for signing the deal. 
$200 per sponsored post they create. 
_______ 

Alex's Equation: 
No upfront signing payment.
$250 per sponsored post.
_______ 

1

Create a table to represent the the earning($) for both friends.

1

Create a graph to represent the the earning($) for both friends.

1

At what number of sponsored posts (x) will their total earnings (y) be equal?
Answer using a complete sentence.

A system of equations is a collection of two or more equations that share the same variables (example. x, y). The goal is to find values (numbers) for the variables that make all the equations true at the same time.

For example:
y=2x+1
y=−x+4
These two equations form a system. Solving it means finding the values (numbers) of x and y that work for both equations.

Think of it as finding a common solution where the rules (equations) agree. 
If you graph the equations, the solution is usually where their lines intersect (cross each other).

1

Today I learned....

1

Select your level of understanding from today's topic. Please be honest!

1

Success Criteria:

Word Problem: TikTok Influencer Brand Deal

Create a table to represent the the earning($) for both friends.

Create a graph to represent the the earning($) for both friends.

At what number of sponsored posts (x) will their total earnings (y) be equal?Answer using a complete sentence.

A system of equations is a collection of two or more equations that share the same variables (example. x, y). The goal is to find values (numbers) for the variables that make all the equations true at the same time.

Today I learned....

Select your level of understanding from today's topic. Please be honest!

If you selected YELLOW or RED, what will you do to improve your understanding? What can I (Ms. Toschi) do to help you understand better?

At what number of sponsored posts (x) will their total earnings (y) be equal?
Answer using a complete sentence.

If you selected YELLOW or RED, what will you do to improve your understanding?
What can I (Ms. Toschi) do to help you understand better?