Linear and nonlinear functions worksheet with answers

Lesson Worksheet: Linear and Nonlinear Functions Mathematics • 8th Grade

In this worksheet, we will practice determining whether a function is linear or nonlinear.

Q1:

Determine whether the given figure represents a linear or nonlinear function.

• Aa linear function
• Ba nonlinear function

Q2:

Determine whether the given figure represents a linear or nonlinear function.

• Aa nonlinear function
• Ba linear function

Q3:

Determine whether the table below represents a linear or nonlinear function.

• Alinear function
• Bnonlinear function

Q4:

Which of the following equations represents a nonlinear function?

• A𝑦 =5(𝑥−3)
• B9𝑥𝑦=4
• C𝑦=5𝑥+ 6
• D𝑦=𝑥2

Q5:

Determine whether the given figure represents a linear or nonlinear function.

• Aa nonlinear function
• Ba linear function

Q6:

Which of these functions is not linear?

• A𝑦=3𝑥+5
• B𝑦+3=5𝑥
• C3𝑥−𝑦=5
• D𝑦=5𝑥

Q7:

Does the shown figure represent a linear function?

• AYes
• BNo

Q8:

Determine whether the given table represents a linear or nonlinear function.

• AA nonlinear function
• BA linear function

Q9:

Determine whether the given table of values must be from a nonlinear function, or could be from a linear function.

• AIt must be from a nonlinear function.
• BIt could be from a linear function.

Q10:

Is 𝑦=2𝑥+8 a linear function?

• AYes
• BNo

This lesson includes 20 additional questions and 81 additional question variations for subscribers.

This collection of linear functions worksheets is a complete package and leaves no stone unturned. Eighth grade and high school students gain practice in identifying and distinguishing between a linear and a nonlinear function presented as equations, graphs and tables. Identify the function rule, complete tables, evaluate, graph, compare and transform linear functions are some topics dealt with here. Start off your functions practice with our free worksheets!

Printing Help - Please do not print inverse functions worksheets directly from the browser. Kindly download them and print.

Is the Function Linear or Nonlinear? | Graph

8th grade students learn to distinguish between linear and nonlinear functions by observing the graphs. The graph of a linear function is a straight line, while the graph of a nonlinear function is a curve.

Is the Function Linear or Nonlinear | Table

Examine the input(x) and output(y) values of the table inthese linear function worksheets for grade 8. If the rate of change for y with respect to x remains constant, then the table represents a linear function.

Linear Function | Level 1

Substitute the x-values in the linear expression to find the y-values in each function table worksheet. The easy level deals with integers, while the moderate level focuses on fractions and decimals.

Easy:

Moderate:

Linear Function | Level 2

Completing the function table in this batch of pdf worksheets comes with a twist. Students are expected to plug in either the input or output values in the function rule to determine the missing value.

Easy:

Moderate:

Finding the Function Rule

Deciphering the pattern that converts the input into an output value in each table and writing it as an expression is all one is expected to do in this set of printable function rule worksheets for high school students.

Graphing Linear Functions Worksheets

Plotting coordinates and graphing functions are the two major learning outcomes of this section of graphing linear equations worksheet printables. The slopes here are expressed as integers and fractions.

(30 Worksheets)

Comparing Linear Functions

Compare two functions presented as tables, graphs and equations in these printable worksheets. Find the slope, x and y-intercepts to complete the table and answer questions based on comparisons.

Transformation of Linear Functions Worksheets

Draw a transformed graph, write a transformed function using horizontal and vertical shifts, stretches, compressions, and reflections too with these transformation of linear functions worksheets.

(25 Worksheets)