Common Core · High school
HSA-CED.A.3
High school — Represent constraints by systems of equations and interpret solutions as viable options in a modelling context.
High school — Represent constraints by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modelling context.
The 2 skills that cover it
- Systems of EquationsSolve two equations at once by graphing, substitution or elimination, and interpret the intersection point.Read the lesson →
- Systems of InequalitiesGraph a linear inequality in two variables as a half-plane with a solid or dashed boundary, test whether a point satisfies a system of inequalities, and write a system from the constraints of a situation.Read the lesson →
What a student should be able to do
- Solve a system by substitution.
- Solve a system by elimination.
- Interpret a system with no solution or infinitely many solutions.
- Model two-quantity word problems with a system.
- Decide whether a point is a solution of a linear inequality in two variables, or of a system.
- Match a shaded graph to its inequality, choosing the boundary style and the side to shade.
- Describe the solution region of a system of two linear inequalities.
- Write a system of inequalities from the constraints of a word problem.