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Illustrative Math - Algebra 1 - Unit 7 - Lesson 20

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1.

Decide whether each number is rational or irrational.

  • 10

  • \frac{4}{5}

  • \sqrt{4}

  • \sqrt{10}

  • -3

  • \sqrt \frac{25}{4}

  • \sqrt{0.6}

  • Rational

  • Irrational

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2.

Here are the solutions to some quadratic equations. Select all solutions that are rational.

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10.

Match each equation to an equivalent equation with a perfect square on one side.

Draggable itemarrow_right_altCorresponding Item

x^{2}+1.21x=6.28

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(x-\frac{9}{2})^{2}=\frac{83}{4}

x^{2}+9x=\frac{1}{2}

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(x-\frac{3}{7})^{2}=\frac{10}{4}

x^{2}+6.4x-8.9=0

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(x-2.5)^{2}=17.25

x^{2}-\frac{6}{7}x=\frac{1}{49}

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(x-0.05)^{2}=0.002

x^{2}-5x=11

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(x-3.2)^{2}=19.14

x^{2}+0.1x-0.0005=0

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(x-0.605)^{2}=6.646025

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15.

Which quadratic expression is in vertex form?

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18.

This lesson is from Illustrative Mathematics. Algebra 1, Unit 7, Lesson 20. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/7/20/index.html ; accessed 26/July/2021.

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