6th Grade Review: Additive and multiplicative relationships

Front

What is an additive relationship?

Back

An additive relationship is a relationship where a constant value is added to a variable to produce a result. It can be represented by equations of the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a multiplicative relationship?

Back

A multiplicative relationship is a relationship where a variable is multiplied by a constant to produce a result. It can be represented by equations of the form y = kx, where k is a constant.

Front

How do you identify the independent variable in a table?

Back

The independent variable is the one that is manipulated or changed in an experiment or equation. It is usually plotted on the x-axis of a graph.

Front

What does the equation y = 3x represent?

Back

The equation y = 3x represents a multiplicative relationship where for every unit increase in x, y increases by 3 units.

Front

What does the equation y = x - 2 represent?

Back

The equation y = x - 2 represents an additive relationship where 2 is subtracted from the value of x to get y.

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) in the equation y = mx + b represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) in the equation y = mx + b is the value of y when x is 0. It represents the point where the line crosses the y-axis.

Front

How can you tell if a relationship is additive or multiplicative from a graph?

Back

If the graph shows a straight line with a constant slope, it is likely a multiplicative relationship. If the graph shows a straight line that does not pass through the origin, it is likely an additive relationship.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the one that is changed or controlled in an experiment, while the dependent variable is the one that is measured or affected.

Front

What does it mean for a relationship to be linear?

Back

A linear relationship is one that can be represented by a straight line on a graph, indicating a constant rate of change between the variables.