Exploring Systems with Edpuzzle

The video tutorial covers graphing lines and systems of equations, focusing on intersection points. It explains the difference between continuous and discrete data, using examples like song lists and movement on a ramp. The tutorial reviews previous lessons on graphing and solving equations, emphasizing the importance of understanding slopes and y-intercepts.

What is the intersection point of two lines in a system of equations?

• The point where the lines are parallel

• The point where the lines are perpendicular

• The point where the lines meet

• The point where the lines are tangent

What does the term 'sum' mean in a system of equations?

• Subtraction

• Multiplication

• Addition

• Division

If the sum of two numbers is 10 and their difference is 6, what is the system of equations?

• x - y = 10 and x + y = 6

• x * y = 10 and x / y = 6

• x + y = 6 and x - y = 10

• x + y = 10 and x - y = 6

Which type of data can take on any value over a continuous range?

• Discrete data

• Categorical data

• Continuous data

• Nominal data

In the example where the sum of two numbers is 10, what are the coordinates of the point when x is 5?

• (0, 5)

• (10, 5)

• (5, 5)

• (5, 0)

Can you have a fraction of a song in a discrete data set?

• Yes, always

• No, never

• Only if the song is short

• Sometimes

What is the y-intercept of Duke's line if he starts at the ground?

• (0, 25)

• (0, 3)

• (3, 0)

• (0, 0)

What is the slope of Shirley's line if she decreases 2 feet per second?

• 25

• 0

• -2

• 2

At what point do Duke and Shirley's lines intersect?

• (5, 15)

• (25, 0)

• (0, 0)

• (10, 10)

What does the intersection point (5, 15) represent in the context of Duke and Shirley's example?

• 5 feet and 15 seconds

• 15 feet and 5 seconds

• 15 seconds and 5 feet

• 5 seconds and 15 feet