Additive/Multiplicative

Front

What is an additive relationship?

Back

An additive relationship is when a constant value is added to a quantity, resulting in a linear pattern. For example, if you add 2 to each number in a sequence, it shows an additive relationship.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship occurs when a quantity is multiplied by a constant factor, resulting in a non-linear pattern. For example, if you multiply each number in a sequence by 3, it shows a multiplicative relationship.

Front

How do you identify a multiplicative relationship in a table?

Back

In a table, if the ratio of the change in the output to the change in the input is constant, it indicates a multiplicative relationship.

Front

How do you identify an additive relationship in a table?

Back

In a table, if the difference between consecutive outputs is constant, it indicates an additive relationship.

Front

What does the equation y = 3x represent?

Back

The equation y = 3x represents a multiplicative relationship where y is three times the value of x.

Front

What is the first step in graphing ordered pairs (x,y)?

Back

The first step is to graph the x-coordinate on the horizontal axis.

Front

If a graph shows a straight line, what type of relationship does it represent?

Back

A straight line can represent either an additive or multiplicative relationship, depending on the context.

Front

What is the difference between additive and multiplicative relationships?

Back

Additive relationships involve adding a constant value, while multiplicative relationships involve multiplying by a constant factor.

Front

Can a relationship be both additive and multiplicative?

Back

No, a relationship is either additive or multiplicative, but not both at the same time.

Front

What is an example of an additive sequence?

Back

An example of an additive sequence is 2, 4, 6, 8, where each number increases by 2.