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Solving Quadratic Equations (B) - By Factoring 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 (B) - By Factoring WORKSHEET DESCRIPTION
This worksheet gives plenty of practice of solving quadratic equations by factoring. Section A provides some already factored quadratic equation which just need the solutions found by setting each parentheses equal to zero. Section B then provides ten quadratic equations, some of which may need some rearrangement, with an x-squared coefficient of one. The quadratic equations in section C are in the “difference of two squares” form, and section D has quadratic equations with x-squared coefficients greater than one.
