Equations for Proportional Relationships from Tables

This video tutorial for 8th graders covers how to write equations for proportional relationships from tables. It begins with an introduction to the concept of equations as rules for finding one variable from another. The video provides examples using paint cans and socks to illustrate how to identify proportional relationships and write corresponding equations. It concludes with advanced problems and encourages students to practice on their own, offering contact information for further help.

What is the main focus of the video tutorial?

• Solving quadratic equations

• Learning about fractions

• Writing equations for proportional relationships from tables

• Understanding geometric shapes

What is the first step in writing an equation for a proportional relationship?

• Finding the value of y

• Identifying the pattern between x and y

• Solving for x

• Drawing a graph

In the paint cans example, what is the ratio of black paint to white paint?

• 1:2

• 2:1

• 5:10

• 10:5

How do you write the equation for the paint cans example in mathematical form?

• y = x + 2

• y = 2x

• y = x / 2

• y = x - 2

What is the constant of proportionality in the socks and dollars example?

• 1

• 2

• 3

• 4

How do you write the equation for the socks and dollars example?

• y = x / 4

• y = x + 4

• y = x - 4

• y = 4x

In the tiles and feet example, what is the ratio of tiles to feet?

• 1:9

• 9:1

• 10:90

• 90:10

How do you determine if a table represents a proportional relationship?

• By adding all the values of x and y

• By multiplying x and y

• By checking if y divided by x is constant

• By subtracting y from x

What is the equation for the tiles and feet example?

• y = x + 9

• y = x - 9

• y = 9x

• y = x / 9

What should you do if you encounter a non-proportional relationship in a table?

• Check if y divided by x is not constant

• Multiply all values by 2

• Write an equation anyway

• Ignore the table