20 questions
9th - 9th Grade
Mathematics
This Grade 9 mathematics worksheet gives students 20 multiple-choice questions on average rate of change and slope. Students calculate average rate of change across intervals, interpret rates in real-world contexts such as altitude, distance, time, and gallons, and select answers with appropriate units. The problems require attention to positive and negative changes and to the difference between a rate and its reciprocal. The worksheet also connects average rate of change to slope. Students find slope from coordinate points, lines, and visual representations; apply the rise-over-run relationship; and classify slopes as positive, negative, zero, or undefined. This free printable worksheet is designed for math practice, review, or formative assessment and includes a complete answer key for efficient checking.
Worksheet settings
Font size
WorksheetsAnswer Key-2 gallons per minute
6
-4
This Grade 9 worksheet uses 20 multiple-choice questions to practice calculating average rate of change over an interval and applying it to contexts involving altitude, time, distance, and gallons. It also asks students to find slope from coordinate points, lines, and pictures, use rise over run, and identify positive, negative, zero, and undefined slopes.
Introduce average rate of change as the change in the output divided by the change in the input, then model one contextual problem while tracking units and sign. Use the worksheet’s progression from interval calculations to slope questions to discuss why average rate of change is also called slope, and have students explain how a line’s direction in the picture matches its sign.
Watch for students reversing the change in output and change in input, reporting a reciprocal such as minutes per gallon instead of gallons per minute, or ignoring a negative sign. In the slope items, students may confuse rise with run, miscalculate slope from two coordinate points, or label a horizontal, vertical, positive, or negative line incorrectly.
The worksheet is available as a printable PDF and as a digital quiz on Wayground, so you can use the same 20-question practice set in either format. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app.
Use the worksheet’s Advanced Settings to adjust font spacing or font size so the numerical expressions, slope choices, and graph-based items are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the rate-of-change and slope questions.
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students build essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.
