Front

What is the relationship between the volume of a gas and its temperature when pressure is constant?

Back

According to Charles's Law, the volume of a gas is directly proportional to its temperature (in Kelvin) when pressure is held constant.

Front

How do you determine the rate of change in a function?

Back

The rate of change can be determined by finding the slope of the line representing the function, which is calculated as the change in the dependent variable divided by the change in the independent variable.

Front

What does a system of equations represent in a real-world context?

Back

A system of equations can represent multiple scenarios or conditions that are being analyzed simultaneously, such as the paths of two hikers starting from different locations.

Front

What is the significance of the solution to a system of inequalities?

Back

The solution to a system of inequalities represents all the possible values that satisfy all inequalities in the system, often visualized as a shaded region on a graph.

Front

What is a linear function and how is it represented?

Back

A linear function is a function that graphs to a straight line and can be represented in the form f(n) = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and apply the point-slope form of the equation.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is represented as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect, regardless of their y-intercepts.

Front

How can you interpret the slope of a line in a real-world context?

Back

The slope of a line can represent the rate of change between two variables, such as speed in a distance-time graph.

Front

What is the purpose of graphing a system of equations?

Back

Graphing a system of equations visually shows the points of intersection, which represent the solutions to the system.