Solving x + p = q Worksheets, Grade 6 (6.EE.B.7) – Free PDF + Answer Key

First page of the solving x + p = q practice worksheet

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

Key idea

Undo addition with subtraction, applied to both sides. x + 18 = 45 → x = 45 − 18 = 27. Check: 27 + 18 = 45 ✓ If your check fails, you almost certainly added instead of subtracting.

Sample problems

Solve x + 4 = 11.
Solve x + 9 = 23.
Solve x + 13 = 13.
Solve x + ¼ = ¾.

Common mistakes to watch for

Answered 19 — added 7 again. The equation tells you what was done TO x; you do the opposite.
Answered 55 — added instead of subtracting.
Answered 8.5, or misaligned the decimals (writing 6 as 6.0 prevents that).

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

How to use this set

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