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Solving Quadratic Equations (A) 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 (A) WORKSHEET DESCRIPTION
This worksheet is designed to encourage learners to focus on providing two solutions where appropriate to a quadratic equation. The quadratics can be solved without the need for factoring, just equation balancing using inverse operations. Section A begins by presenting equations in the form x^2=a and -x^2=-a. Section B then extends this by adding a coefficient or including a squared value in parentheses. Section C adds some additional steps to the rearrangements required, and finally section D presents a mixed exercise based on the previous sections.
