Sample Test Item Preview



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General Information

Related Standards: MAFS.912.A-REI.2.4
Reporting Category: Algebra: Reasoning with Equations & Inequalities
Type: EE: Equation Editor
Difficulty: N/A
Question:

An equation is shown.

3x²+7x=1

The formula begin mathsize 12px style x equals fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction end style can be used to solve the equation.

Click on the blank to enter a numeric expression that is one solution to the given equation.

Possible Answer:
x equals negative 7 over 6 plus fraction numerator square root of 61 over denominator 6 end fraction

Other correct responses:

x equals negative 7 over 6 minus fraction numerator square root of 61 over denominator 6 end fraction comma space fraction numerator negative 7 plus square root of 61 over denominator 6 end fraction comma space o r space fraction numerator negative 7 minus square root of 61 over denominator 6 end fraction

Item Context:

fixed an equation


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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