Exploring Proportional Relationships in 7th Grade Math

The video introduces the concept of proportional relationships, where the ratio between two variables remains constant. It provides examples using variables x and y to demonstrate a proportional relationship and contrasts it with a non-proportional example using variables a and b. The video concludes by explaining how to identify proportional relationships by examining the consistency of ratios.

What defines a proportional relationship between two variables?

• The ratio of the variables is constant

• The difference between the variables is constant

• The sum of the variables is constant

• The product of the variables is constant

If x is 4 and y is 12 in a proportional relationship, what is the ratio of y to x?

• 4

• 3

• 8

• 12

In a proportional relationship, if x = 5 and y = 15, what is the ratio of x to y?

• 1 to 3

• 1 to 5

• 5 to 1

• 3 to 1

If a proportional relationship's ratio is 2, what is y when x is 6?

• 3

• 12

• 8

• 6

What is the ratio of x to y if the relationship is proportional and x = 8, y = 24?

• 2 to 1

• 1 to 3

• 3 to 1

• 1 to 2

Which of the following is an example of a non-proportional relationship?

• x = 2, y = 4; x = 4, y = 8

• a = 3, b = 9; a = 4, b = 12

• a = 5, b = 15; a = 10, b = 35

• x = 7, y = 21; x = 8, y = 24

Why is the relationship between a and b not proportional in the given example?

• The product of a and b is constant

• The ratio changes over different values

• The sum of a and b is not constant

• The difference between a and b is constant

In a non-proportional relationship example, if a is 2 and b is 6, what happens when a is 10?

• b is 30

• b is 20

• b is 50

• b is 35

How can you confirm a relationship is not proportional?

• The ratio of variables is always different

• The product of variables is constant

• The sum of variables is constant

• The ratio of variables is always the same

What is a key method to identify a proportional relationship?

• Comparing the difference of variables

• Comparing the ratio of variables

• Comparing the product of variables

• Comparing the sum of variables