
9.2 Solving Quadratic Equations by Factoring
Authored by Jennifer Cariasini
Mathematics
9th Grade

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1.
MULTIPLE CHOICE QUESTION
30 mins • 1 pt
One solution of a quadratic equation is 8. What do you know about the quadratic equation? What are two ways you would know if a quadratic equation could have this solution?
The expression x−8
must be a factor. To know this, divide both sides by 8 and solve for x to check if the solution is 0, or factor the equation to see if
x−8 is a factor.
The expression x−8
must be a factor. To know this, substitute 8 into the quadratic equation and see if it checks, or factor the equation to see if
x−8 is a factor.
The expression x+8
must be a factor. To know this, substitute 8 into the quadratic equation and see if it checks, or factor the equation to see if
x+8 is a factor.
The expression
x+8 must be a factor. To know this, divide both sides by 8 and solve for x to check if the solution is 0, or factor the equation to see if
x+8 is a factor.
2.
MULTIPLE CHOICE QUESTION
30 mins • 1 pt
Describe the error. Choose the correct answer below.
The student did not take the square root of both sides first.
The student did not solve the two equations for x correctly.
The student did not factor correctly.
The student did not get 0 on one side of the equation.
3.
FILL IN THE BLANK QUESTION
30 mins • 1 pt
What is the solution set to (x+5)(x-7)?
Enter answer in {n,n} format.
4.
FILL IN THE BLANK QUESTION
30 mins • 1 pt
5.
FILL IN THE BLANK QUESTION
30 mins • 1 pt
Use the zero-product property to solve the following equation. Write your solutions as a set in roster form. {n,n}
6.
FILL IN THE BLANK QUESTION
30 mins • 1 pt
7.
FILL IN THE BLANK QUESTION
30 mins • 1 pt
The total area of the figure to the right is
342cm^2.
Use this fact to write a quadratic equation involving x.
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