A1.AREI.4.b Solve quadratic equations by inspection, taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Derive the quadratic formula from this form. A1.AREI.4.a Use 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. A1.AREI.4 Solve mathematical and real-world problems involving quadratic equations in one variable. A1.AREI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. 
A1.AREI.1 Understand and justify that the steps taken when solving simple equations in one variable create new equations that have the same solution as the original.A1.AREI Reasoning with Equations and Inequalities.
A1.ACE.4 Solve literal equations and formulas for a specified variable including equations and formulas that arise in a variety of disciplines. (Limit to linear quadratic exponential with integer exponents direct and indirect variation.) Graph the equations on coordinate axes using appropriate labels, units, and scales. A1.ACE.2 Create equations in two or more variables to represent relationships between quantities. (Limit to linear quadratic exponential with integer exponents.) Interpret the solutions and determine whether they are reasonable. A1.ACE.1 Create and solve equations and inequalities in one variable that model real-world problems involving linear, quadratic, simple rational, and exponential relationships. A1.AAPR.1 Add, subtract, and multiply polynomials and understand that polynomials are closed under these operations. A1.AAPR Arithmetic with Polynomials and Rational Expressions.
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