Additive and Multiplicative Review

Front

What is an additive relationship?

Back

An additive relationship is when two quantities are combined by addition. For example, if you have 3 apples and you add 2 more, you have a total of 5 apples.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is when one quantity is multiplied by another. For example, if you have 3 groups of 2 apples, you have a total of 6 apples (3 x 2 = 6).

Front

How can you identify an additive relationship in a graph?

Back

In a graph, an additive relationship is shown by a straight line with a constant slope, indicating that as one variable increases, the other increases by a fixed amount.

Front

What does it mean for a variable to be dependent?

Back

A dependent variable is one that depends on another variable. For example, in a cost vs. number of people graph, the cost is dependent on the number of people.

Front

What is the equation for a linear relationship?

Back

The equation for a linear relationship is typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent in an additive relationship?

Back

The slope represents the rate of change between the two variables. A steeper slope indicates a greater change.

Front

How do you determine the dependent variable from a table of values?

Back

The dependent variable is usually the one that changes in response to the independent variable. It is often found in the second column of a table.

Front

What does the equation y = x + 3 represent?

Back

This equation represents a linear relationship where for every increase of 1 in x, y increases by 1, starting from 3.

Front

How can you represent the equation y = x - 2 in words?

Back

This equation can be represented as 'y is 2 less than x'.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.