Back to Prove system equivalence — Problem 2 · Task Set 39

HSA.REI.C.5 Tutor Intake — Proving System Equivalence

This short check helps your tutor understand where to start. Answer each question without help. If you are not sure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 9·7 problems·~11 min·Common Core Math - HS Algebra·standard·hsa-rei-c-5

Work through problems with immediate feedback

Concepts

A student proves Direction 1 of the REI.C.5 proof: "Any solution of the
original system satisfies the new system." They then declare the proof
complete.

Why is this proof incomplete?

Direction 1 is incorrect; the student needs to restart the proof.

Direction 1 only shows original solutions are in the new system; the
student has not shown that the new system has no extra solutions.

The student needs to verify the proof with a specific numerical example.

The proof requires more than two equations to be complete.