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Writing and Solving Quadratic Equations WORKSHEET
Suitable for Grades: Algebra I, IM 1
CCSS: HSA.REI.B.4, HSA.REI.B.4.B
CCSS Description: Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x2 = 49), 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.
Solve quadratic equations by inspection (e.g., for x2 = 49), 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.
Solve quadratic equations by inspection (e.g., for x2 = 49), 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.
Writing and Solving Quadratic Equations WORKSHEET DESCRIPTION
This worksheet will require learners to form quadratic equations from given problems and then solve those quadratics. Section A has questions involving 2D and 3D shapes; the knowledge of Pythagoras’ Theorem will be required. Section B then provides some word problems on different contexts such as percentages, reciprocals, and mean average.
