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

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Last updated 11 months ago
12 questions
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Question 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.

Question 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.

Question 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

Question 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}

Question 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}

Question 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

Question 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}

Question 8
8.

Order the following expressions from least to greatest.

Question 9
9.

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

Question 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.

Question 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.

Question 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?

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