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

1

1.

Match each expression to an equivalent expression.

		\sqrt{5} + \sqrt{3} and \sqrt{5} - \sqrt{3}
		1 + \sqrt{3} and 1 - \sqrt{3}
		\sqrt{3}+1 and \sqrt{3}-1
		3 and 7
		-6 and 0

7.NS.1.a

N.RN.3

A.REI.4.b

1

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.

7.NS.1.a

N.RN.3

A.REI.4.b

1

3.

1

4.

1

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

7.NS.1.a

N.RN.3

A.REI.4.b

1

6.

1

7.

1

8.

1

9.

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

x^{2}-\frac{3}{2}x+3=\frac{19}{4}

x^{2}-\frac{3}{2}x+\frac{3}{4}=\frac{10}{4}

x^{2}-\frac{3}{2}x+\frac{9}{4}=\frac{16}{4}

x^{2}-\frac{3}{2}x+\frac{9}{4}=\frac{7}{4}

7.NS.1.a

N.RN.3

A.REI.4.b

1

10.

1

11.

1

12.

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

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

7.NS.1.a

N.RN.3

A.REI.4.b

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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