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Laabri

Illustrative Math - Algebra 1 - Unit 7 - Lesson 21

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Last updated over 1 year ago
12 Nsɛmmisa
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1.

Match each expression to an equivalent expression.

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-3 \pm -3

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\sqrt{5} + \sqrt{3} and \sqrt{5} - \sqrt{3}

\sqrt{5} \pm \sqrt{3}

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1 + \sqrt{3} and 1 - \sqrt{3}

5\pm-2

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\sqrt{3}+1 and \sqrt{3}-1

1\pm \sqrt{3}

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3 and 7

\sqrt{3} \pm 1

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-6 and 0

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2.

Consider the statement: "An irrational number multiplied by an irrational number always makes an irrational product."

Select all the examples that show that this statement is false.

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5.

Here are the solutions to some quadratic equations. Decide if the solutions are rational or irrational.

  • 3\pm\sqrt{2}

  • \sqrt{9}\pm1

  • \frac{1}{2}\pm \frac{3}{2}

  • 10 \pm 0.3

  • \frac{1\pm \sqrt{8}}{2}

  • -7 \pm \sqrt{\frac{4}{9}}

  • Rational

  • irrational

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9.

Which equation is equivalent to x^{2}-\frac{3}{2}x=\frac{7}{4} but has a perfect square on one side?

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12.

Here are 4 graphs. Match each graph with a quadratic equation that it represents.

Draggable itemarrow_right_altCorresponding Item

Graph B.

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y=(x-4)^{2}+3

Graph D.

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y=(x-4)^{2}-3

Graph A.

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y=(x+4)^{2}+3

Graph C.

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y=(x+4)^{2}-3

This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 21. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/7/21/index.html ; accessed 26/July/2021.

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