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Open Up - Grade 7 - Mathematics - Unit 7 - Lesson 10

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Last updated 11 months ago
7 questions
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Question 1
1.

A triangle has sides of length 7 cm, 4 cm, and 5 cm.

How many unique triangles can be drawn that fit that description?

Question 2
2.

A triangle has one side that is 5 units long and an adjacent angle that measures 25o. The two other angles in the triangle measure 90o and 65o.
Complete the two diagrams to create two different triangles with these measurements.

Question 3
3.

It is possible to make a triangle that has angles measuring 90 degrees, 30 degrees, and 100 degrees.

Question 4
4.

Segments CD, AB, and FG intersect at point E. Angle FEC is a right angle.
Identify any pairs of angles that are complementary.

Question 5
5.

Match each equation to a step that will help solve the equation for x.

Draggable itemarrow_right_altCorresponding Item
3 = \frac{-x}{3}
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Mulitply each side by \frac{-1}{3}
3+x=8
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Add 3 to each side
\frac{1}{3} = -3x
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Multiply each side by -3
\frac{x}{3}=15
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Multiply each side by \frac{-1}{3}
x-\frac{1}{3}=0.4
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Add \frac{1}{3}
3x = -4
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Add -3 to each side
-4.5=x-3
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Multiply each side by -3
7=\frac{1}{3}+x
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add \frac{-1}{3} to each side.
Question 6
6.

If you deposit $300 in an account with a 6% interest rate.

How much will be in your account after 1 year?(Round your answer to the nearest cent)

Question 7
7.

If you deposit $300 in an account with a 6% interest rate.

How much will be in your account after 2 years?(Round your answer to the nearest cent)

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