Illustrative Math - Algebra 1 - Unit 7 - Lesson 9

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22 Questions
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Here is how Elena solves the quadratic equation x^{2}-3x-18=0.

Is her work correct? If you think there is an error, explain the error and correct it.
Otherwise, check her solutions by substituting them into the original equation and showing that the equation remains true.
A.REI.4.a
A.SSE.3.a
A.REI.4.b
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Jada is working on solving a quadratic equation, as shown here.

She thinks that her solution is correct because substituting 5 for p in the original expression p{2}-5p gives 5^{2}-5(5), which is 25-25 or 0.

Explain the mistake that Jada made and show the correct solutions.
A.REI.4.a
A.SSE.3.a
A.REI.4.b
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Choose a statement to correctly describe the zero product property.

If a and b are numbers, and a*b=0, then:
A.REI.4.a
A.SSE.3.a
A.REI.4.b
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Which expression is equivalent to x^{2}-7x+12?
A.REI.4.a
A.SSE.3.a
A.REI.4.b
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Select all the functions whose output values will eventually overtake the output values of function f defined by f(x)=25x^{2}.
A.REI.4.a
A.SSE.3.a
A.REI.4.b
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This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 9. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/7/9/index.html ; accessed 26/July/2021.

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