NC.M2.A-REI.1

Justify a chosen solution method and each step of the solving process for quadratic, square root and inverse variation equations using mathematical reasoning.

Example Problems
Solve the equation:
Solve the equation:
Solve the equation:
Khan Academy Resources
Understanding the quadratic formulaSolving quadratics by completing the squareSolving quadratics by factoring reviewExtraneous solutions of radical equationsIntro to solving square-root equationsCompleting the square reviewSolving simple quadratics reviewSolving square-root equationsSolving quadratics by taking square roots Solving quadratics by factoringQuadratic formulaRational equations introQuadratics by factoring (intro)Completing the square (intermediate)Completing the squareQuadratics by factoringQuadratics by taking square rootsSquare-root equationsSquare-root equations introRational equationsQuadratic word problems (standard form)Interpret quadratic modelsSolve equations using structureFeatures of quadratic functionsExtraneous solutions of equationsFind inverses of rational functionsQuadratics by taking square roots: strategyZero product propertyStrategy in solving quadraticsRational equations introSolving square-root equations: one solutionQuadratic word problem: ballWorked example: completing the square (leading coefficient ≠ 1)Worked example: quadratic formula (negative coefficients)Solving quadratics by taking square rootsCompleting the squareThe quadratic formulaIntro to square-root equations & extraneous solutionsSolving cube-root equationsSolving quadratics by factoringWorked example: Completing the square (intro)Solving quadratics by completing the square: no solutionFinding the vertex of a parabola in standard formWorked example: quadratic formula (example 2)Using the quadratic formula: number of solutionsRational equations word problem: combined rates (example 2)Rational equations word problem: eliminating solutionsRational equations word problem: combined ratesEquation that has a specific extraneous solutionInterpret quadratic models: Factored formSolve by completing the square: Non-integer solutionsSolving quadratics using structureFinding inverses of rational functionsSolve by completing the square: Integer solutionsZero product propertyEquations with rational expressionsStrategy in solving quadratic equationsSolving quadratics by taking square roots examplesSolving square-root equations: no solutionSolving quadratics by taking square roots: with stepsEquations with rational expressions (example 2)Solving quadratics by factoring: leading coefficient ≠ 1Extraneous solutionsSolving square-root equations: two solutionsWorked example: Rewriting & solving equations by completing the squareSquare-root equations intro
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