TEKS: Chapter 111. Mathematics See All Teacher Resources

111.40.c.3

(3) 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. The student is expected to:

• (A) formulate 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;

• (B) solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution;

• (C) solve, algebraically, systems of two equations in two variables consisting of a linear equation and a quadratic equation;

• (D) determine the reasonableness of solutions to systems of a linear equation and a quadratic equation in two variables;

• (E) formulate systems of at least two linear inequalities in two variables;

• (F) solve systems of two or more linear inequalities in two variables; and

• (G) determine possible solutions in the solution set of systems of two or more linear inequalities in two variables.