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

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

Back

This is a multiplicative relationship because y changes by a factor of x.

Front

If y = x + 5, what type of relationship is this?

Back

This is an additive relationship because y increases by a constant amount (5) for each increase in x.

Front

What does a graph of a multiplicative relationship look like?

Back

A graph of a multiplicative relationship is typically a curve that passes through the origin, showing exponential growth.

Front

What does a graph of an additive relationship look like?

Back

A graph of an additive relationship is a straight line, indicating a constant rate of change.

Front

In a table showing an additive relationship, how do the values change?

Back

In a table showing an additive relationship, the values increase or decrease by the same amount each time.

Front

In a table showing a multiplicative relationship, how do the values change?

Back

In a table showing a multiplicative relationship, the values are multiplied by the same factor each time.

Front

What is the formula for an additive relationship?

Back

The formula for an additive relationship can be expressed as y = mx + b, where m is the constant amount added.

Front

What is the formula for a multiplicative relationship?

Back

The formula for a multiplicative relationship can be expressed as y = kx, where k is the constant factor.