Math With Mr DJ

Grade 8 · Functions · 8.F.A.2

Comparing Functions Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the comparing functions practice worksheet Open the practice worksheet

Download free

PDFs print on US Letter paper. Free for classroom and home use.

Step-by-step math videos on the Math With Mr DJ YouTube channel →
Key idea

Rate and start, for both, in the same form — then compare. An output is not a rate.

Sample problems

  1. Give the rate and starting value of y = 5x − 3.
  2. A table has x: 0,1,2 → y: 4,10,16. Find its rate and starting value.
  3. A graph passes through (0,1) and (4,21). Find its rate and starting value.
  4. Of the three above, which has the greatest rate? Which starts highest?

Common mistakes to watch for

  • Compared 3 with 11, or with 5. Those are an OUTPUT and a STARTING VALUE; neither is a rate. The table never printed its rate, which is why it has to be worked out before anything can be compared.
  • Answered A, carrying over the item 1 result. The two questions have DIFFERENT answers on purpose — that is the point of asking both.
  • Agreed, or corrected the answer without naming that two DIFFERENT KINDS of quantity were compared. That naming is the skill; the arithmetic is not the difficulty here.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

  1. Teach with the slides (about 15 minutes), or watch the video together.
  2. Practice with the worksheet. Questions climb from fluency to application to reasoning.
  3. Check understanding with the exit ticket, and send the homework home.
  4. Mark with the answer key — each answer shows the steps and the most likely mistake.

More Grade 8 worksheets

All Grade 8 →
What a Function Is8.F.A.1 · Practice · Homework · Exit ticket · Answer key · SlidesLinear and Non-Linear8.F.A.3 · Practice · Homework · Exit ticket · Answer key · SlidesModeling with a Linear Function8.F.B.4 · Practice · Homework · Exit ticket · Answer key · SlidesReading a Graph Qualitatively8.F.B.5 · Practice · Homework · Exit ticket · Answer key · Slides
Daily math puzzlesThree new puzzles every day, mild to spicy. Great as a warm-up. Step-by-step videosFree math lessons on YouTube from Mr DJ.

Get new worksheets first

New worksheets, videos, and free resources from Mr DJ — about once a month. No spam, ever.