Illustrative Math - Algebra 1 - Unit 7 - Lesson 5

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18 Questions
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Mai is solving the equation (x-5)^{2}=0. She writes that the solutions are x=5 and x=-5.

Han looks at her work and disagrees. He says that only x=5 is a solution. Who do you agree with? Explain your reasoning.
F.IF.7.a
A.REI.10
6.EE.5
A.REI.1
A.REI.4.b
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The graph shows the number of square meters, A, covered by algae in a lake w weeks after it was first measured.


In a second lake, the number of square meters, B, covered by algae is defined by the equation B=975*(\frac{2}{5})^{w}, where is the number of weeks since it was first measured.

For which algae population is the area decreasing more rapidly? Explain how you know.
F.IF.7.a
A.REI.10
6.EE.5
A.REI.1
A.REI.4.b
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If the equation (x-4)(x+6)=0 is true, which is also true according to the zero product property?
F.IF.7.a
A.REI.10
6.EE.5
A.REI.1
A.REI.4.b
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This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 5. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/7/5/index.html ; accessed 26/July/2021.

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