Practice Math

Front

What is the y-intercept of the function y = 0.15x + 35,000?

Back

The y-intercept is 35,000.

Front

What does it mean if two lines have the same slope but different y-intercepts?

Back

It means there are no solutions to the system of equations; the lines are parallel.

Front

In probability, if an event is 'more likely', what does that mean?

Back

It means the event has a greater chance of occurring compared to another event.

Front

If substance X has a mass of 6.10 × 10⁻⁷ grams, what is the mass of substance Y if it is twice as much?

Back

The mass of substance Y is 1.22 × 10⁻⁶ grams.

Front

What is a line of best fit?

Back

A line that best represents the data on a scatter plot, showing the trend of the data.

Front

What is the formula for calculating the slope of a line?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

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

Back

The y-intercept is the value of y when x is 0; it represents the starting point of the function.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the purpose of a survey in statistics?

Back

To collect data from a sample to make inferences about a larger population.