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MATH THS – Algebra IA – Unit 6 Functions Solve Systems of Equations Systems of Linear Equations and Inequalities Graph solutions to linear inequalities Vocabulary Explicit Expression Systems of Linear Equations Solution of a System of Linear Equations No solution Infinitely many solutions Substitution method Elimination method Linear Inequality Solutions of a linear inequality Systems of linear inequalities Solutions of systems of linear inequalities Essential Understandings • • • • • • • • • • • • • • • Systems of linear equations exactly and approximately (e.g. with graphs) focusing on pairs of linear equations in two variables. The solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case a strict inequality) The solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes. Why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x). The solutions approximately, e.g., using technology to graph the functions Units as a way to understand problems and to guide the solution of multi-step problems Units consistently in formulas The scale and the origin in graphs and data displays. That the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane A function that describes a relationship between two quantities An explicit expression Equations in two or more variables to represent relationships between quantities Equations on coordinate axes with labels and scales. Linear functions and show intercepts The parameters in a linear function in terms of its context