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Solving Quadratic Equations (E) - Using all Three Methods WORKSHEET

Suitable for Grades: Algebra II, IM 2

CCSS: HSA.REI.B.4

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.

Solving Quadratic Equations (E) - Using all Three Methods WORKSHEET DESCRIPTION

Students will practice using three methods for solving quadratic equations throughout this worksheet as well as considering their method of choice and the most efficient method for different equations. The three methods used are factorization, completing the square and using the quadratic formula.

The worksheet begins with an example of each method being used. Learners will then use each method to solve three different equations.

Question 4, asks students to use each of the three methods to solve two equations.

Lastly, students will solve a further 6 equations using their chosen method.

Exact answers are used throughout so students can complete without the use of a calculator.