Linear vs Nonlinear Practice

State whether or not this represents a Linear or NonLinear function.

Hint: For a equation to be considered linear, it needs to be in y=mx+b form (or be able to be put into y=mx+b form)

• Linear

• NonLinear

State whether or not this represents a Linear or NonLinear function.

Hint: For a equation to be considered linear, it needs to be in y=mx+b form (or be able to be put into y=mx+b form)

• Linear

• NonLinear

Linear Equation: State which equations are linear and why?

• Equation 1 and Equation 2 because they are in y=mx+b form

• Equation 2 and Equation 4 because they are in y=mx+b form

• Equation 2 and Equation 3 because they are in y=mx+b form

• Equation 2 ONLY because it is in y=mx+b form

State which equations are nonlinear and why?

• Equation 1 and Equation 3 because they are NOT in y=mx+b form

• Equation 3 and Equation 4 because they are NOT in y=mx+b form

• Equation 2 and Equation 3 because they are NOT in y=mx+b form

• Equation 1 ONLY because it is NOT in y=mx+b form

For question 15, they want you to find the slope from the smaller triangle and then the bigger triangle and show that they are equivalent fractions. I showed my work on this picture to help you understand!

• I see the equivalent slopes and understand that the slope of the line is 1/3.

• I am having trouble understanding this concept, can we go over it in class.

Question 16

• a

• b

• c

• d

Abigail and Lily are studying graphs in their math class. They come across a graph in their textbook. Is the graph they are studying a linear or nonlinear function?

• Linear

• Nonlinear

Kai is trying to determine if the function represented by the equation he found in his math homework is linear or nonlinear. Can you help him?

• linear

• nonlinear

Does the equation represent a linear or nonlinear equation?

• Linear

• Nonlinear

• This is hard...

Oliver and Abigail are studying the speed of a car at different times. They plotted the speed against time on a graph. Is the function represented by their graph linear or nonlinear?

• Linear

• Nonlinear