You are designing a math escape room. Write equations for your clues, solve them with inverse operations, and build an answer key — so players can only escape if their algebra is right.
An escape room company has hired you to design four puzzle locks. Each lock opens only when a player solves a one-step equation. Work through four phases: translate a clue into an equation, write and solve addition/subtraction equations, write and solve multiplication/division equations, and finally sequence your puzzles and verify a known answer. Fill every box, hit Solve & Verify, and finish the blueprint checklist. Then print your escape room answer key.
Good puzzle designers always start with a story clue and write it as an equation. Use a variable for the unknown combination number.
A variable is a letter (like x) that stands for the unknown. "A number plus 7 equals 20" → x + 7 = 20. Your equation must have a variable, an operation, an equal sign, and a constant on the right side.
Design a puzzle where a player must solve an addition or subtraction equation. The calculator below solves x + p = q (or x − p = q) and verifies by substitution — just like the escape room answer key.
Use the inverse operation: addition is undone by subtraction. For x + 8 = 15, subtract 8 from both sides: x = 15 − 8 = 7. Then verify: 7 + 8 = 15 ✓
Now design a trickier puzzle using multiplication. The equation is p · x = q, so x = q ÷ p. Pick values so the answer is a whole number — that keeps the escape room fair.
Use the inverse operation: multiplication is undone by division. For 4x = 28, divide both sides by 4: x = 28 ÷ 4 = 7. Then verify: 4 × 7 = 28 ✓. Make sure q ÷ p has no remainder!
Every escape room needs a logical order. Explain your puzzle sequence and verify a known answer to confirm your answer key is airtight.
Write your escape room blueprint (3–5 sentences). Name each lock, give its equation, and state the combination (solution). A player reading this should know exactly what equation to solve for each lock.
| Category | 4 — Expert | 3 — Proficient | 2 — Developing |
|---|---|---|---|
| Writing Equations (6.EE.6) | Equation correctly uses a variable; clue matches equation perfectly | Equation is correct | Variable used but equation has an error |
| Add/Sub Equations (6.EE.7) | Solution correct; substitution check shown and correct | Solution correct | Attempted with a computation error |
| Mult/Div Equations (6.EE.7) | Solution correct; substitution check shown and correct | Solution correct | Attempted with a computation error |
| Communication | Blueprint names all four locks with equations, solutions, and clear reasoning | Blueprint names most locks with equations and solutions | Blueprint is incomplete or missing solutions |