Solve a system of two linear equations and inequalities, relate the solution to the graph of the system and interpret it in terms of the context from which the equations arose. Solve linear equations and inequalities, interpret the reasonableness and meaning of the solutions, represent solutions and methods for finding solutions as graphs and tables, and understand the relationship between these representations and algebraic techniques. 3.4.8 Use algebraic expressions, equations and inequalities to model linear and nonlinear situations, including direct and inverse variation, exponential growth and quadratic behavior. 3.4.10 Students are able to solve a quadratic equation by factoring or completing the square. 3.4.11 Students know the quadratic formula and are familiar with its proof using completing the square.
Students are also able to use equations containing radicals.
3.4.12 Students are able to use the quadratic formula with a second degree polynomial, find its roots, and solve quadratic equations. Students can apply quadratic equations to problems such as the motion of an object under the force of gravity. 3.5.1 Identify and graph ordered pairs in the four quadrants of the coordinate plane. 3.5.4 Understand that the length of a horizontal line equals the difference of the x-coordinates. Understand that the length of a vertical line equals the difference of the y-coordinates.