Two-Step Equations
I can solve a two-step equation by undoing the operations in reverse order.
The problem this sheet solves
Two-step equations are undone in REVERSE order, and students who reach for the coefficient first hit the harder version of the problem: the division has to reach every term on the side, including the one that was added. Most who get this wrong can solve one-step equations perfectly. What is missing is the order, not the operations. This sheet teaches undoing in reverse and shows why that order makes the second step simpler rather than just correct. The worked example puts the wrong route beside the right one so students can see what dividing early costs, and every answer is checked by substitution, which is the habit that makes the rule unnecessary.
The key rule
Undo in reverse order. Take off what was added or subtracted first, then divide out the coefficient. Whatever you do to one side, do to the other side in full.
Order of operations builds an expression up. Solving takes it apart, so you travel the same road backwards.
Watch out
The mistake: Dividing by 3 first and getting x + 4 = 19/3.
The fix: Dividing by 3 must divide every term, not just the 3x. Undo the + 4 first and the division has a single term to act on.
What is included
- Reference page — student-friendly definitions, a worked example, a Watch Out error pair, and the key rule
- Practice page — six problems, building from foundational to multi-step
- Apply page — a word problem, a reasoning prompt, and an error-analysis task
- Assess — a half-page exit ticket, two to a sheet, with a score box
- Full answer key — every item worked, plus a grading guide that says what each wrong answer tells you
- Ink-saver edition of all 7 pages
- 14-slide teacher deck (PowerPoint) with presenter notes on every slide
Standard codes refer to the Common Core State Standards for Mathematics. Math Class 678 is an independent publisher, not affiliated with, sponsored by, or endorsed by NGA Center or CCSSO. Every product is sold on Teachers Pay Teachers.