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

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Last updated 11 months ago
12 questions
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Question 1
1.

Find the exact value of each variable that represents a side length in a right triangle.

Question 2
2.

A right triangle has side lengths of a, b, and c units. The longest side has a length of units.

Complete each equation to show three relations among a, b, and c.

c^{2} =

Question 3
3.

A right triangle has side lengths of a, b, and c units. The longest side has a length of units.

Complete each equation to show three relations among a, b, and c.

a^{2} =

Question 4
4.

A right triangle has side lengths of a, b, and c units. The longest side has a length of units.

Complete each equation to show three relations among a, b, and c.

b^{2} =

Question 5
5.

What is the exact length of each line segment? (Each grid square represents 1 square unit.)

Question 6
6.

What is the exact length of each line segment? (Each grid square represents 1 square unit.)

Question 7
7.

What is the exact length of each line segment? (Each grid square represents 1 square unit.)

Question 8
8.

In 2015, there were roughly 1*10^{6} high school football players and 2*10^{3} professional football players in the United States.

About how many times more high school football players are there?

Question 9
9.

Evaluate:

(\frac{1}{2})^{3}

Question 10
10.

Evaluate:

(\frac{1}{2})^{-3}

Question 11
11.

Here is a scatter plot of weight vs. age for different Dobermans. The model, represented by y=2.45x+1.22, is graphed with the scatter plot. Here, x represents age in weeks, and y represents weight in pounds.
What does the slope mean in this situation?

Question 12
12.

Here is a scatter plot of weight vs. age for different Dobermans. The model, represented by y=2.45x+1.22, is graphed with the scatter plot. Here, x represents age in weeks, and y represents weight in pounds.
Based on this model, how heavy would you expect a newborn Doberman to be?

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