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Standards/Math/South Carolina/IA.AREI

IA.AREI

IA Intermediate Algebra
IA.AAPR
IA.ACE
IA.AREI
IA.AREI.11IA.AREI.2IA.AREI.4IA.AREI.4aIA.AREI.4b
IA.ASE
IA.FBF
IA.FIF
IA.FLQE
IA.NCNS

Reasoning with Equations and Inequalities

IA.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).IA.AREI.2Solve simple rational and radical equations in one variable and understand how extraneous solutions may arise.IA.AREI.4Solve mathematical and real-world problems involving quadratic equations in one variable. (Note: IA.AREI.4a and 4b are not Graduation Standards.)IA.AREI.4aUse the method of completing the square to transform any quadratic equation in x into an equation of the form (x−h)^2=k that has the same solutions. Derive the quadratic formula from this form.IA.AREI.4bSolve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a+bi for real numbers a and b.
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