Additive and Multiplicative Relationships Practice

Front

What is an additive relationship?

Back

An additive relationship is when a quantity increases or decreases by a constant amount. For example, if you add 3 to a number each time, that's additive.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when a quantity increases or decreases by a constant factor. For example, if you multiply a number by 2 each time, that's multiplicative.

Front

What is the equation for a linear additive relationship?

Back

The equation is typically in the form y = mx + b, where m is the constant amount added.

Front

What is the equation for a linear multiplicative relationship?

Back

The equation is typically in the form y = a * b^x, where a is the starting value and b is the constant factor.

Front

How can you identify an additive relationship in a table?

Back

Look for a constant difference between consecutive values in the output.

Front

How can you identify a multiplicative relationship in a table?

Back

Look for a constant ratio between consecutive values in the output.

Front

What type of graph represents an additive relationship?

Back

A straight line graph represents an additive relationship.

Front

What type of graph represents a multiplicative relationship?

Back

A curved graph (exponential) represents a multiplicative relationship.

Front

If y = 3x + 2, what type of relationship is this?

Back

This is an additive relationship because of the constant addition of 2.

Front

If y = 2^x, what type of relationship is this?

Back

This is a multiplicative relationship because it involves exponential growth.