Linear or NonLinear

Front

What is a linear equation in one variable?

Back

An equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

Front

Which of the following is a linear equation in one variable? 4y + 5, 4y + 5 = 2, 4 + 5 = 9, 4y + 5 > 2

Back

4y + 5 = 2

Front

What is a nonlinear function?

Back

A function that does not create a straight line when graphed; it may curve or have varying slopes.

Front

How can you identify a linear function from a table of values?

Back

If the differences between consecutive y-values are constant for equal intervals of x, it is linear.

Front

What is the general form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

Is the function represented by the table linear or nonlinear?

Back

Nonlinear

Front

What is the difference between linear and nonlinear equations?

Back

Linear equations have a constant rate of change, while nonlinear equations do not.

Front

Is the equation 3x + 2y = 6 linear or nonlinear?

Back

Linear

Front

What does it mean for an equation to be nonlinear?

Back

It means the equation cannot be expressed in the form of a straight line when graphed.

Front

Provide an example of a nonlinear equation.

Back

y = x^2 is an example of a nonlinear equation.