Illustrative Math - Algebra 1 - Unit 7 - Lesson 20 - Formative Library | Library

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

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

Draggable item		Category
x^{2}+0.1x-0.0005=0		(x-\frac{9}{2})^{2}=\frac{83}{4}
x^{2}+6.4x-8.9=0		(x-\frac{3}{7})^{2}=\frac{10}{4}
x^{2}+1.21x=6.28		(x-2.5)^{2}=17.25
x^{2}-5x=11		(x-0.05)^{2}=0.002
x^{2}+9x=\frac{1}{2}		(x-3.2)^{2}=19.14
x^{2}-\frac{6}{7}x=\frac{1}{49}		(x-0.605)^{2}=6.646025

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Which quadratic expression is in vertex form?

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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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