Radical equationsHSA.REI.A.2Solve equations with a square root by isolating the root and squaring both sides.Solving rational equationsHSA.REI.A.2Solve equations with variables in denominators by cross-multiplying or multiplying by the common denominator, and reject extraneous solutions.Multi-step inequalitiesHSA.REI.B.3Solve inequalities that need the distributive property or have x on both sides, flipping the sign when dividing by a negative.Compound inequalitiesHSA.REI.B.3Solve three-part (and) inequalities, or-inequalities, and absolute value inequalities.Solving quadratics by factoringHSA.REI.B.4bSolve quadratic equations with the zero product property: get 0 on one side, factor, and set each factor equal to 0.The quadratic formulaHSA.REI.B.4bSolve ax² + bx + c = 0 with x = (−b ± √(b² − 4ac)) / (2a), giving exact or rounded solutions.Solving quadratics with square rootsHSA.REI.B.4bSolve x² = k, ax² + c = d and (x − h)² = k by isolating the square and taking square roots.Systems of three linear equationsHSA.REI.C.6Solve systems of three linear equations in three variables by elimination.Inverse of a 2 × 2 matrixHSA.REI.C.9Find the inverse of a 2 × 2 matrix by swapping, negating and dividing by the determinant, and recognize matrices with no inverse.Graphs of linear inequalitiesHSA.REI.D.12Read the boundary line, whether it is solid or dashed, and which side is shaded to write a linear inequality in two variables.