Math With Mr DJ

Grade 6 · Expressions & Equations · 6.EE.B.7

Solving Px = q 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 solving px = q practice worksheet Open the practice worksheet

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

Watch: Solving Two Step Algebraic Equations: Step By Step Guide
Key idea

Undo multiplication with division, on both sides. 8x = 72 → x = 72 ÷ 8 = 9. Check: 8(9) = 72 ✓ Divide the total BY the coefficient — 8 ÷ 72 is upside down.

Sample problems

  1. Solve 5x = 35.
  2. Solve 8x = 72.
  3. Solve 12x = 12.
  4. Solve 6x = 15. Give your answer as a fraction or decimal.

Common mistakes to watch for

  • Answered 15 — subtracted 3. Subtraction undoes addition; division undoes multiplication.
  • Answered 49 — subtracted 7.
  • Answered 6 (subtracted), or rounded to 2 because the answer ‘should’ be whole. Solutions need not be whole numbers.

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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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.

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