Defining variables

Front

What is a variable in mathematics?

Back

A symbol used to represent an unknown value in an equation or expression.

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

In the equation y = 5x + 20, what does x represent?

Back

x represents the number of months in the context of a monthly fee.

Front

How do you define a constant in an equation?

Back

A constant is a fixed value that does not change.

Front

What is the purpose of defining variables in a problem?

Back

Defining variables helps to translate a real-world situation into a mathematical model.

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope indicates the rate of change of y with respect to x.

Front

In the context of the airplane descending problem, what does y represent?

Back

y represents the altitude of the airplane above the ground.

Front

What is the significance of the y-intercept in a linear equation?

Back

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

Front

How can you identify the independent variable in a problem?

Back

The independent variable is the one that is manipulated or changed, often represented by x.

Front

What does the equation y = -2000x + 30000 model in the airplane problem?

Back

It models the altitude of the airplane as it descends over time.