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Standards/Math/South Carolina/A2.AREI

A2.AREI

A2 Algebra 2
A2.AAPR
A2.ACE
A2.AREI
A2.AREI.11A2.AREI.2A2.AREI.4A2.AREI.4bA2.AREI.7
A2.ASE
A2.FBF
A2.FIF
A2.FLQE
A2.NCNS

Reasoning with Equations and Inequalities

A2.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).A2.AREI.2Solve simple rational and radical equations in one variable and understand how extraneous solutions may arise.A2.AREI.4Solve mathematical and real-world problems involving quadratic equations in one variable.A2.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. (Note: A2.AREI.4b is not a Graduation Standard.)A2.AREI.7Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. Understand that such systems may have zero, one, two, or infinitely many solutions. (Limit to linear equations and quadratic functions.)
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