7th Math Unit 1 EOM Assessment

Last updated over 1 year ago
14 questions
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1

Akiko walks \frac{2}{3} mile in \frac{1}{4} hour. What is Akiko's unit rate?

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1

Kara and James both like to mix a little bit of milk with their eggs when they make scrambled eggs. The amounts they mix are in the following table.


Is there a proportional relationship between Kara and James' milk and egg amounts?

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1

The cost of buying rice in bulk is proportional to the weight. Five pounds of rice costs $3.95. If C represents the total cost and p represents the weight in pounds, which equation could be used to show this relationship? What is the cost of 7 pounds of rice?

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1

The scale on a map is given as 1 inch equals 225 feet. The actual distance between two buildings is 2100 feet. What is the distance between the buildings on the map?

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1

The scale drawing shows one of the bedrooms and closet in a house. In the drawing 1 inch equals 6 feet.


What is the area of the actual bedroom?

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1

Select all graphs that represent a proportional relationship between x and y.

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1

The graph shows the relationship between the number of hours (h) a business operates and the total cost (c) of electricity.


Select all the statements that are true.

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1

Figure B is a scale image of Figure A, as shown.


Type the scale factor (as a single number) applied to Figure A to produce Figure B.

Open Ended Response
It is Saturday morning and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water until Monday. He places a bucket under the drip and steps outside to walk the dog. In half an hour, the bucket is \frac{1}{5} of the way


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2

What is the rate at which the water is leaking in buckets per hour?

**You must show your work/calculations for credit**'

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2

Write an equation that represents the relationship between the number of buckets filled (y) and the number of hours (x).

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2

What is the longest that Jeremy can be away from the house before the bucket will overflow? Explain how you know.

Over the break, your neighbor asks you to help them cover the foundation of their newly purchased land with cement and gives you a top-view blueprint of the area and the proposed layout.


A small legend on the corner states that 4 inches on the blueprint corresponds to an actual length of 52 feet.


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2

A small legend on the corner states that 4 inches on the blueprint corresponds to an actual length of 52 feet.

What is the scale factor from the blueprint to the actual foundation?

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2

If the dimensions of the foundation on the blueprint are 11 inches by 13 inches, what are the actual dimensions in feet?

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2

You are asked to go buy bags of dry cement and know that one bag covers 350 square feet. How many bags do you need to buy to finish this project?