Two-step equation word problems, step by step
7.EE.B.4a is the standard where algebra stops being a puzzle and starts being a bill.
The question
How many swims was that?
A pool charges $8 to join and $5 a swim. One swimmer has paid $68.
5x + 8 = 68
5x + 8 = 68
5x = 60 and x = 12 swims
12 swims
- Read it through once. The deliverable here is an EQUATION written with x, not just a number — so turn the story into one before solving it.
- Let x stand for the unknown the story is about. Writing what the story says as an equation: 5x + 8 = 68.
- Now solve it: 5x = 60 and x = 12 swims. The equation was what the question asked you to write; the number then answers it, in swims.
How it works.
- 01
Read it through once. The deliverable here is an EQUATION written with x, not just a number — so turn the story into one before solving it.
- 02
Let x stand for the unknown the story is about. Writing what the story says as an equation: 5x + 8 = 68.
- 03
Now solve it: 5x = 60 and x = 12 swims. The equation was what the question asked you to write; the number then answers it, in swims.