Recognizing Direct and Inverse Variation in Algebra

The video tutorial explores relationships between variables, focusing on direct and inverse variations. It provides examples using equations like m/n = 1/7 for direct variation and ab = -3 for inverse variation. The tutorial also examines a case that does not fit either variation type, highlighting the differences in scaling between direct and inverse relationships.

What type of relationship involves one variable being a constant multiple of another?

• Direct variation

• Both

• Inverse variation

• Neither

If m/n = 1/7, after isolating m, what type of variation does m and n exhibit?

• Direct variation

• Inverse variation

• Neither

• Both

In the relationship ab = -3, what happens to b when a is increased?

• b becomes zero

• b remains constant

• b decreases

• b increases

What happens to b when a is tripled in the relationship ab = -3?

• b is tripled

• b is zero

• b is unchanged

• b is divided by three

What does the relationship y = 1/10x indicate about x and y?

• Direct variation

• Inverse variation

• Neither

• Both

In the relationship xy = 1/10, what type of variation do x and y exhibit?

• Direct variation

• Inverse variation

• Both

• Neither

What is demonstrated by the relationship n = 9 * (1/m)?

• Both

• Neither

• Inverse variation

• Direct variation

Which type of variation is shown if increasing one variable decreases the other?

• Both

• Neither

• Inverse variation

• Direct variation

What type of relationship is shown by the equation 1/3 - a = b?

• Direct variation

• Inverse variation

• Neither

• Both

If a variable relationship does not fit into direct or inverse categories, what is it classified as?

• Both

• Neither

• Complex variation

• Undefined variation