A.EI.2

The student will represent, solve, explain, and interpret the solution to a system of two linear equations, a linear inequality in two variables, or a system of two linear inequalities in two variables.

A.EI.2.aCreate a system of two linear equations in two variables to represent a contextual situation.A.EI.2.bApply the properties of real numbers and/or properties of equality to solve a system of two linear equations in two variables, algebraically and graphically.A.EI.2.cDetermine whether a system of two linear equations has one solution, no solution, or an infinite number of solutions.A.EI.2.dCreate a linear inequality in two variables to represent a contextual situation.A.EI.2.eRepresent the solution of a linear inequality in two variables graphically on a coordinate plane.A.EI.2.fCreate a system of two linear inequalities in two variables to represent a contextual situation.A.EI.2.gRepresent the solution set of a system of two linear inequalities in two variables, graphically on a coordinate plane.A.EI.2.hVerify possible solution(s) to a system of two linear equations, a linear inequality in two variable, or a system of two linear inequalities algebraically, graphically, and with technology to justify the reasonableness of the answer(s). Explain the solution method and interpret solutions for problems given in context.
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