Illustrative Math - Algebra 2 - Unit 3 - Lesson 18
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11 Questions
1
1.
Clare solves the quadratic equation 4x^{2}+12x+58=0, but when she checks her answer, she realizes she made a mistake. Explain what Clare's mistake was.
Clare solves the quadratic equation 4x^{2}+12x+58=0, but when she checks her answer, she realizes she made a mistake. Explain what Clare's mistake was.
A.REI.4.a
N.CN.7
A.REI.4.b
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1
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1
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1
5.
Priya is using the quadratic formula to solve two different quadratic equations.
For the first equation, she writes x= \frac{4\pm \sqrt{16-72}}{12}
For the second equation, she writes x= \frac{8\pm \sqrt{64-24}}{6}
Which equation(s) will have real solutions? Which equation(s) will have non-real solutions? Explain how you know.
Priya is using the quadratic formula to solve two different quadratic equations.
For the first equation, she writes x= \frac{4\pm \sqrt{16-72}}{12}
For the second equation, she writes x= \frac{8\pm \sqrt{64-24}}{6}
Which equation(s) will have real solutions? Which equation(s) will have non-real solutions? Explain how you know.
A.REI.4.a
N.CN.7
A.REI.4.b
1
6.
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1
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1
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1
10.
Kiran is solving the equation \sqrt{x+2}-5=11 and decides to start by squaring both sides. Which equation results if Kiran squares both sides as his first step?
Kiran is solving the equation \sqrt{x+2}-5=11 and decides to start by squaring both sides. Which equation results if Kiran squares both sides as his first step?
A.REI.4.a
N.CN.7
A.REI.4.b
1
11.
Plot each number on the real or imaginary number line.
Plot each number on the real or imaginary number line.
A.REI.4.a
N.CN.7
A.REI.4.b
This lesson is from Illustrative Mathematics. Algebra 2, Unit 3, Lesson 18. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/3/18/index.html ; accessed 27/July/2021.
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