Multiple Representations

Front

What is a variable in mathematics?

Back

A symbol used to represent a number that can change or vary.

Front

What is an independent variable?

Back

The variable that is manipulated or changed in an experiment to test its effects on the dependent variable.

Front

What is a dependent variable?

Back

The variable that is measured or observed in an experiment, which changes in response to the independent variable.

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in a linear equation?

Back

The slope is a measure of how steep a line is, representing the rate of change between the dependent and independent variables.

Front

What does it mean for a relationship to be additive?

Back

An additive relationship means that the output increases by a constant amount as the input increases.

Front

What does it mean for a relationship to be multiplicative?

Back

A multiplicative relationship means that the output increases by a constant factor as the input increases.

Front

How can you represent a situation with an equation?

Back

By identifying the variables involved and expressing their relationship mathematically.

Front

What is a table of values?

Back

A table that shows pairs of values for the independent and dependent variables, often used to analyze relationships.

Front

What is a graph in mathematics?

Back

A visual representation of data that shows the relationship between two variables.