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Open Up - Grade 8 - Mathematics - Unit 8 - Lesson 6

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"Source: Open Up Resouces (Download for free at openupresources.org.)"

Pitanje 1
1.

Here is a diagram of an acute triangle and three squares.

Priya says the area of the large unmarked square is 26 square units because 9+17=26. Do you agree? Explain your reasoning.

Pitanje 2
2.

m, p, and z represent the lengths of the three sides of this right triangle.

Select all the equations that represent the relationship between m, p, and z.

Pitanje 3
3.

The lengths of the three sides are given for several right triangles. For each, write an equation that expresses the relationship between the lengths of the three sides.

10, 6, 8

Pitanje 4
4.

The lengths of the three sides are given for several right triangles. For each, write an equation that expresses the relationship between the lengths of the three sides.

\sqrt{5},\sqrt{3} ,\sqrt{8}

Pitanje 5
5.

The lengths of the three sides are given for several right triangles. For each, write an equation that expresses the relationship between the lengths of the three sides.

5,\sqrt{5} ,\sqrt{30}

Pitanje 6
6.

The lengths of the three sides are given for several right triangles. For each, write an equation that expresses the relationship between the lengths of the three sides.

1,\sqrt{37} ,6

Pitanje 7
7.

The lengths of the three sides are given for several right triangles. For each, write an equation that expresses the relationship between the lengths of the three sides.

3,\sqrt{2} ,\sqrt{7}

Pitanje 8
8.

Order the following expressions from least to greatest.

Pitanje 9
9.

Which is the best explanation for why -\sqrt{10} is irrational?

Pitanje 10
10.

A teacher tells her students she is just over 1 and \frac{1}{2} billion seconds old.

Write her age in seconds using scientific notation.

Pitanje 11
11.

A teacher tells her students she is just over 1 and \frac{1}{2} billion seconds old.

Write her age in seconds using scientific notation.

Pitanje 12
12.

A teacher tells her students she is just over 1 and \frac{1}{2} billion seconds old.

How old is she when you use a more reasonable unit of measurement?