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Solving Quadratic Equations (C) - By Quadratic Formula 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.
Solving Quadratic Equations (C) - By Quadratic Formula WORKSHEET DESCRIPTION
This worksheet provides some purposeful challenging practice to using the quadratic formula to solve quadratic equations. It begins with some straightforward quadratic equations. In section A, the formula is provided, and learners are asked to write the values of a, b, and c before giving the solutions. In section B, some more straightforward equations are given before ending with a few that require rearrangement. An extension question then provokes some thought about quadratic equations with no real solutions and asks for conditions of the discriminant for each type of solution.
