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Lesson 21 - Unit 7 - Algebra 1 - Illustrative Mathematics

Last updated about 3 years ago

12 questions

1

7.NS.1.a

A.REI.4.b

N.RN.3

1

7.NS.1.a

A.REI.4.b

N.RN.3

1

7.NS.1.a

A.REI.4.b

N.RN.3

1

7.NS.1.a

A.REI.4.b

N.RN.3

1

7.NS.1.a

A.REI.4.b

N.RN.3

Question 1

1.

Draggable item		Corresponding Item

Question 2

2.

1

Question 3

3.

1

Question 4

4.

Question 5

5.

1

Question 6

6.

1

Question 7

7.

1

Question 8

8.

Question 9

9.

1

Question 10

10.

1

Question 11

11.

Question 12

12.

Draggable item		Corresponding Item

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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Match each expression to an equivalent expression.

\sqrt{3} \pm 1

\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{5} \pm \sqrt{3}

3 and 7

1\pm \sqrt{3}

-6 and 0

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.

\sqrt{4}*\sqrt{5}

\sqrt{4}*\sqrt{4}

\sqrt{7}*\sqrt{7}

\frac{1}{\sqrt{5}}*\sqrt{5}

\sqrt{0}* \sqrt{7}

-\sqrt{5}*\sqrt{5}

\sqrt{5}*\sqrt{7}

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

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}

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

Graph C.

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

Graph A.

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

Graph D.

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

Graph B.

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