Library

Illustrative Math - Algebra 1 - Unit 7 - Lesson 21

By Formative Library
Last updated 23 days ago
12 Questions
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
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
3.
4.
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
6.
7.
8.
9.

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

7.NS.1.a
N.RN.3
A.REI.4.b
10.
11.
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.

IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).

The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.

These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.