Illustrative Math - Algebra 1 - Unit 7 - Lesson 13

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14 Questions
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Noah is solving the equation x{2}+8x+15=3. He begins by rewriting the expression on the left in factored form and writes (x+3)(x+5)=3. He does not know what to do next.

Noah knows that the solutions are x=-2 and x=-6, but is not sure how to get to these values from his equation.


Solve the original equation by completing the square.
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Match each quadratic expression given in factored form with an equivalent expression in standard form. One expression in standard form has no match.
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-x^{2}+4
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x^{2}-81
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x^{2}-4
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x^{2}-y^{2}
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Four students solved the equation x^{2}+255=0. Their work is shown here. Only one student solved it correctly.
Determine which student solved the equation correctly. For each of the incorrect solutions, explain the mistake.
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This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 13. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/7/13/index.html ; accessed 26/July/2021.

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