Additive and Multiplicative Relationships

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 have 3 apples and you add 2 more, you have 5 apples.

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 have 3 groups of 2 apples, you have a total of 6 apples (3 x 2 = 6).

Front

How can the equation m = 8p be interpreted?

Back

The equation m = 8p means that for every package (p), there are 8 markers (m). If you have 2 packages, you have 16 markers (m = 8 x 2).

Front

What does the equation y = x + 3 represent?

Back

The equation y = x + 3 represents an additive relationship where for every increase in x, y increases by 3.

Front

What does the equation y = 2x represent?

Back

The equation y = 2x represents a multiplicative relationship where y is double the value of x.

Front

If you have 5 packages of markers, how many markers do you have if m = 8p?

Back

If p = 5, then m = 8 x 5 = 40 markers.

Front

What is the difference between additive and multiplicative relationships?

Back

Additive relationships involve adding or subtracting a constant amount, while multiplicative relationships involve multiplying or dividing by a constant factor.

Front

If a table shows values of x and y where y increases by 4 for every increase of 1 in x, what type of relationship is this?

Back

This is an additive relationship.

Front

If a table shows values of x and y where y doubles for every increase of 1 in x, what type of relationship is this?

Back

This is a multiplicative relationship.

Front

What is the output when p = 0 in the equation m = 8p?

Back

When p = 0, m = 8 x 0 = 0 markers.