HS.A-REI

HS.A-REI

HS.A-REI.1Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.HS.A-REI.10Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.HS.A-REI.11Using graphs, technology, tables, or successive approximations, show that the solution(s) to the equation f(x) = g(x) are the x-value(s) that result in the y-values of f(x) and g(x) being the same.HS.A-REI.12Graph the solutions to a linear inequality in two variables as a half-plane. Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.HS.A-REI.2Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.HS.A-REI.3Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.HS.A-REI.4Solve quadratic equations in one variable.HS.A-REI.5This standard has been moved/removed by the committeeHS.A-REI.6Solve systems of linear equations exactly and approximately, focusing on pairs of linear equations in two variables.HS.A-REI.7Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.HS.A-REI.8(+)Represent a system of linear equations as a single matrix equation.HS.A-REI.9(+)Find the inverse of a matrix, if it exists, and use it to solve systems of linear equations (using technology for matrices of dimension 3 3 or greater).
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