Systems of equations and inequalities. The student applies mathematical processes to formulate systems of equations and inequalities, use a variety of methods to solve, and analyze reasonableness of solutions.

A2.3.AFormulate systems of equations, including systems consisting of three linear equations in three variables and systems consisting of two equations, the first linear and the second quadratic.A2.3.BSolve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution.A2.3.CSolve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation.A2.3.DDetermine the reasonableness of solutions to systems of a linear equation and a quadratic equation in two variables.A2.3.EFormulate systems of at least two linear inequalities in two variables.A2.3.FSolve systems of two or more linear inequalities in two variables.A2.3.GDetermine possible solutions in the solution set of systems of two or more linear inequalities in two variables.
Example Problems
In 16 years, Ben will be 3 times as old as he is right now.
How old is he right now?
In 12 years, Nathan will be 4 times as old as he is right now.
How old is he right now?
In 12 years, Paige will be 5 times as old as she is right now.
How old is she right now?
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