Midterm Exam

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if an equation is linear?

Back

An equation is linear if it can be written in the form y = mx + b, where m and b are constants.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x = 0, representing where the line crosses the y-axis.

Front

Write the equation for a bike rental that costs $4 plus $1.50 per hour in slope-intercept form.

Back

y = 1.50x + 4, where y is the total cost and x is the number of hours.

Front

What is the difference between linear and nonlinear functions?

Back

Linear functions have a constant rate of change and can be represented by a straight line, while nonlinear functions do not have a constant rate of change and can be represented by curves.

Front

If a function is represented by the equation y = -5(x + 7), is it linear or nonlinear?

Back

It is linear because it can be simplified to the form y = -5x - 35.

Front

What is the equation for Easy Car Rental that charges $8.50 an hour plus a rental fee of $25.50?

Back

y = 8.5x + 25.5, where y is the total cost and x is the number of hours.

Front

What does it mean for a function to be nonlinear?

Back

A nonlinear function does not form a straight line when graphed and can have varying rates of change.

Front

How can you identify a linear equation from a set of options?

Back

Look for an equation that can be expressed in the form y = mx + b.