Illustrative Math - Algebra 1 - Unit 7 - Lesson 21 - Formative Library | Library

1

Match each expression to an equivalent expression.

Draggable item		Corresponding Item
1\pm \sqrt{3}		\sqrt{5} + \sqrt{3} and \sqrt{5} - \sqrt{3}
5\pm-2		1 + \sqrt{3} and 1 - \sqrt{3}
-3 \pm -3		\sqrt{3}+1 and \sqrt{3}-1
\sqrt{3} \pm 1		3 and 7
\sqrt{5} \pm \sqrt{3}		-6 and 0

1

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.

1

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

1

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

1

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

Draggable item		Corresponding Item
Graph A.		y=(x-4)^{2}+3
Graph B.		y=(x-4)^{2}-3
Graph C.		y=(x+4)^{2}+3
Graph D.		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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Illustrative Math - Algebra 1 - Unit 7 - Lesson 21

Illustrative Math - Algebra 1 - Unit 7 - Lesson 21

Match each expression to an equivalent expression.

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.

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

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

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

Match each expression to an equivalent expression.

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.

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

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

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

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.

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.