Math With Mr DJ

Grade 8 · Expressions & Equations · 8.EE.B.5

Slope as a Unit Rate 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 slope as a unit rate practice worksheet Open the practice worksheet
Key idea

Slope = change in y over change in x. It is the unit rate. Read the axis scale. Compare rates, never raw totals.

Sample problems

  1. Find the slope of the line through (0,0) and (5,15).
  2. Find the slope through (0,0) and (8,4).
  3. A line goes through (0,8) and (4,0). Find its slope and say what the sign means.
  4. Explain why slope is change in y over change in x, and not the other way round.

Common mistakes to watch for

  • Answered ₃⁄¹² = 0.25 by inverting.
  • Agreed. Inverting is the commonest error in the topic and it is hard to spot because the wrong answer still looks like a slope. Checking against the rate in words is the reliable defence.
  • Answered 2 by counting squares rather than units. Same skipped step as reading a bar graph without its scale, and it is invisible on the page — the counting was correct.

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.

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