Understanding Systems of Equations

The video tutorial explains systems of equations through various examples, including sports drinks, basketball shots, rental fees, and a running race. It covers both total problems and slope-intercept form, demonstrating how to set up and solve equations for different scenarios. The tutorial emphasizes understanding the relationship between variables and constants in real-world contexts.

What are the two main styles of systems of equations discussed?

• Total problems and quadratic equations

• Total problems and slope-intercept form

• Slope-intercept form and quadratic equations

• Total problems and exponential equations

In the sports drinks example, what is the cost of a Gatorade bottle?

• $4

• $3

• $2

• $5

How many total sports drinks did Mercy buy?

• 20

• 10

• 12

• 15

In the basketball example, how many total shots did Owen make?

• 10

• 20

• 12

• 15

What is the total number of points Owen scored?

• 30

• 31

• 32

• 33

What is the base rental fee for the Airbnb?

• $150

• $80

• $100

• $120

How much does the bed and breakfast charge per day?

• $110

• $100

• $90

• $80

In the race example, what is the head start given to the brother?

• 400 feet

• 600 feet

• 300 feet

• 500 feet

What is the running speed of the brother in the race example?

• 5 feet per second

• 6 feet per second

• 7 feet per second

• 8 feet per second

What is the running speed of the narrator in the race example?

• 10 feet per second

• 11 feet per second

• 9 feet per second

• 8 feet per second