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

By Formative Library
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Last updated over 2 years ago
12 Questions
1
1.
Find the exact value of each variable that represents a side length in a right triangle.
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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} =
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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} =
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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} =
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5.
What is the exact length of each line segment? (Each grid square represents 1 square unit.)
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6.
What is the exact length of each line segment? (Each grid square represents 1 square unit.)
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7.
What is the exact length of each line segment? (Each grid square represents 1 square unit.)
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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?
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9.
Evaluate:

(\frac{1}{2})^{3}
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10.
Evaluate:

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