Standard 19.0
Students know the quadratic formula and are familiar with its proof by completing the square.
RQ***
1== Toni is solving this equation by completing the square.
2== Four steps to derive the quadratic formula are shown below.
What are the correct order to the following steps?
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3= Rework the completing of the square, using coefficients c, b, and c to show the derivation of the quadratic formula.
.
What would be the next step in deriving the formula?
4= What is the correct formula
for finding the solutions of a quadratic equation of the form
5= Write the quadratic formula?
6= Choose the correct order of these steps when proving the quadratic formula by completing the square:
7= Select the correct
substitution into the quadratic formula to solve:
8= Select the next step in proving the quadratic formula by completing the square.
9= Choose the steps that would
be part of solving this quadratic equation by completing the square:
10= What is the correct formula for solving quadratic equations?
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11= Which of the following equations is the quadratic formula?
12= Which of the following cannot be found using the quadratic formula?
The slope of a linear equation.
The number of x-intercepts of a 2nd degree polynomial function.
The x-intercepts of a 2nd degree polynomial function.
The solution of a quadratic equation.
13= What technique can be used to derive the quadratic formula?
14= Factoring or Completing the square or Graphing or Square root
15= When using the quadratic
formula to solve 
,
what is the value of b?
16= Which of the following statements is true?
There are exactly two unique solutions to every quadratic equation.
The quadratic formula can be used to solve equations that cannot be solved by completing the square.
Linear equations can be solved using the quadratic formula.
The quadratic formula can be used to solve all quadratic equations in one variable.