Equations and Inequalities
Virginia SOL A.EI.2
Represent, solve, explain, and interpret solutions to systems of linear equations, inequalities, and linear inequalities in two variables.
What students need to be able to do
- Create a system of two linear equations in two variables to represent a contextual situation.
- Solve a system of two linear equations in two variables algebraically and graphically using properties of real numbers and equality.
- Determine whether a system of two linear equations has one solution, no solution, or an infinite number of solutions.
- Create a linear inequality in two variables to represent a contextual situation.
- Represent the solution of a linear inequality in two variables graphically on a coordinate plane.
- Create a system of two linear inequalities in two variables to represent a contextual situation.
- Represent the solution set of a system of two linear inequalities in two variables graphically on a coordinate plane.
- Verify possible solutions to a system of two linear equations, a linear inequality in two variables, or a system of two linear inequalities algebraically, graphically, and with technology.