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General Information

Related Standards: MAFS.912.A-REI.2.4
Reporting Category: Algebra: Reasoning with Equations & Inequalities
Type: GRID: Graphic Response Item Display
Difficulty: N/A
Question:

Matthew solved the quadratic equation shown.

4x²-24x+7=3

One of the steps that Matthew used to solve the equation is shown.

Drag the values into the boxes to complete the step and the solution.

 

Possible Answer:

Aligned Standards

Code Description
MAFS.912.A-REI.2.4: Solve quadratic equations in one variable.
  1. 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.
  2. 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.


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