Created by ALICE LOZANO
12 questions
8th Grade
Math
MUE Ch 3 Functions Part 2 is a Grade 8 mathematics worksheet focused on using functions to model and analyze relationships. Students write equations from real-world situations, interpret rates of change and y-intercepts, identify trend lines, recognize direct variation, and determine whether tables, graphs, mappings, and sets of ordered pairs represent functions. The 12-question worksheet uses varied digital-style formats, including drag-and-drop, multiple-choice, hotspot, drawing, dropdown, multiple-select, and classification items. Students apply the rule that each input in a function has exactly one output while also connecting equations, graphs, data, and ordered pairs. This free printable worksheet includes a complete answer key for checking understanding or reviewing errors.
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WorksheetsAnswer Key42 feet
base = 18
hypotenuse = 30
(1, 1)
, e)(1, 2)
(-7, -1), (1, 9), (8, 12), (-7, 14)
There is no value of y that can make the mapping a function.
This Grade 8 worksheet practices modeling linear relationships with equations, interpreting trend lines and rates of change, recognizing direct variation, and identifying functions from ordered pairs, tables, graphs, and mappings. Its 12 items use drag-and-drop, multiple-choice, hotspot, drawing, dropdown, multiple-select, and classification formats so students must apply function rules in several representations.
Begin by reviewing how a rate of change and y-intercept appear in an equation, then model one real-world situation such as a changing height or rental cost. Have students explain how the equation, graph, and data support one another before they complete the trend-line and direct-variation items. Finish by asking students to justify why a repeated input makes a set of ordered pairs or a mapping fail the function rule.
Students may confuse the input with the output and overlook that a function cannot assign two different outputs to the same input; the ordered-pair items specifically test this error. They may also reverse the rate of change and starting value when building equations, or select a triangle for direct variation without comparing the corresponding ratios. In the graphing items, check that students draw a trend line that reflects the overall data rather than connecting individual points as a broken path.
On Wayground, assign it as a printable PDF or as a digital quiz, and use the complete answer key to review the equation, graph, ordered-pair, and function-identification responses. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time.
Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the equations, ordered pairs, and graph-based prompts are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those file-level changes support access to the function and linear-modeling tasks.
Wayground offers a comprehensive collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
