Equations with Variables on Both Sides

Overview

Goal. Collect the variable on one side when it appears on both, then finish as usual; read the two special endings correctly when the variable cancels.

Identity (definition). An equation that is true for every value of the variable.

Collecting the variable; no solution and identity equations.

Lesson Notes

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Lesson Video

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Interactive Activity

Goal. Solve equations with the variable on both sides by collecting the variable on one side — and recognize the two special endings: no solution, and infinitely many solutions.

Identity (definition). An equation that is true for every value of the variable.

Equations with Variables on Both Sides — Interactive ActivityOpen ›