Systems of equations and inequalities
One solution, none, or infinitely many. Students solve 2×2 systems by graphing, substitution, and elimination, classify them, model mixture and break-even stories, and shade the feasible region of a system of inequalities.
Specification · for a parent or teacher
- linear-systems
- High School Math 1 · Unit 6
- Structures
- 4 of 4 — Grade 7 / Math 1 core. Structure, models, proofs on the grid.
- 5 items
Students can
graph; substitute; eliminate; classify; mixture / break-even stories; shade a system of inequalities.
Ready when
one system of each type, plus a two-inequality feasible region with a vertex labeled.
Watch for
elimination that subtracts but forgets to subtract the constant; “no solution” vs “infinitely many” swapped.