6.EE.B.7 — Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q.
Cluster: Reason about and solve one-variable equations
What this standard asks students to do
6.EE.B.7 is a 6th grade Common Core standard in the Expressions & Equations strand. It asks students to: solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q. Teachers typically address it during the reason about and solve one-variable equations cluster, alongside the related standards listed below. FoxFish generates printable worksheets, auto-graded quizzes, and flashcard sets aligned to this standard in seconds.
Sample questions aligned to 6.EE.B.7
- Example 1
Solve: x + 14 = 23.
- Example 2
Solve: 6x = 54.
- Example 3
A pencil costs $0.40. If you spent $4.80, how many did you buy?
Want a full worksheet? Generate 20 problems aligned to 6.EE.B.7.
Common student mistakes
Build distractors and reteach prompts around the errors students actually make on this standard.
- 1Rushing to an answer without showing intermediate steps or citing evidence — 6th-grade students who skip this stage often can't debug their own errors.
- 2Mis-identifying what the prompt is actually asking. On 6.EE.B.7, teachers see students latch onto surface keywords and pick the wrong operation.
- 3Applying a memorized procedure to a case where it doesn't fit — the classic expressions & equations trap when problems change form (e.g., Solve: x + 14 = 23.).
Teacher FAQ
What does 6.EE.B.7 actually ask 6th-grade students to do?
Students are expected to solve real-world and mathematical problems by writing. In the reason about and solve one-variable equations cluster this shows up when they solve problems and explain their reasoning. Full standard text: "Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q."
How long should we spend on 6.EE.B.7 in a typical unit?
Middle-grade teachers typically spend 1–2 weeks of focused instruction and reassess in mixed-review problem sets. FoxFish's generator lets you spin up fresh practice each day to keep the reps varied.
What does mastery of 6.EE.B.7 look like on a quick check?
A student who's mastered 6.EE.B.7 can solve real-world and mathematical problems by writing on unfamiliar prompts, not just the exact examples they practiced. Try one item like: "A pencil costs $0.40. If you spent $4.80, how many did you buy?" — if they explain their reasoning without prompting, they're solid.
Teacher guides for 6.EE.B.7
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