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Standards/Math/South Carolina/FA.AREI

FA.AREI

FA Foundations in Algebra
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FA.AREI.1FA.AREI.10FA.AREI.11FA.AREI.12FA.AREI.3FA.AREI.5FA.AREI.6FA.AREI.6aFA.AREI.6b
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Reasoning with Equations and Inequalities

FA.AREI.1Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.FA.AREI.10Explain that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.FA.AREI.11Solve an equation of the form f(x)=g(x) graphically by identifying the x-coordinate(s) of the point(s) of intersection of the graphs of y=f(x) and y=g(x). (Limit to linear; quadratic; exponential.)FA.AREI.12Graph the solutions to a linear inequality in two variables.FA.AREI.3Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.FA.AREI.5Justify that the solution to a system of linear equations is not changed when one of the equations is replaced by a linear combination of the other equation.FA.AREI.6Solve systems of linear equations algebraically and graphically focusing on pairs of linear equations in two variables. (Note: FA.AREI.6a and 6b are not Graduation Standards.)FA.AREI.6aSolve systems of linear equations using the substitution method.FA.AREI.6bSolve systems of linear equations using linear combination.
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