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Grade 7 | Unit 2 | Lesson 2: Introducing Proportional Relationships with Tables | Practice Problems

Authored by Illustrative Mathematics

Mathematics

6th Grade

CCSS covered

Grade 7 | Unit 2 | Lesson 2: Introducing Proportional Relationships with Tables | Practice Problems
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7 questions

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1.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Media Image

tablespoons of chocolate syrup, cups of milk

tablespoons of chocolate syrup, cup of milk

Tags

CCSS.7.RP.A.2C

2.

OPEN ENDED QUESTION

3 mins • 1 pt

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. How many cups of red paint should be added to 1 cup of white paint?

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Tags

CCSS.7.RP.A.2B

3.

OPEN ENDED QUESTION

3 mins • 1 pt

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint. What is the constant of proportionality?

Evaluate responses using AI:

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Tags

CCSS.7.RP.A.2B

4.

OPEN ENDED QUESTION

3 mins • 1 pt

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. What is the actual area of the park? Show how you know.

Evaluate responses using AI:

OFF

Tags

CCSS.6.RP.A.3D

5.

OPEN ENDED QUESTION

3 mins • 1 pt

A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 miles. The map needs to be reproduced at a different scale so that it has an area of 6 square inches and can fit in a brochure. At what scale should the map be reproduced so that it fits on the brochure? Show your reasoning.

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Tags

CCSS.6.RP.A.3B

6.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

Noah drew a scaled copy of Polygon P and labeled it Polygon Q. Polygon Q on a grid. Polygon Q has 8 sides. Starting at the bottom left corner, the first side is 9 units up, the second side is 6 units right, the third side is 3 units down, the fourth side is 3 units left, the fifth side is 3 units down, the sixth side is 3 units right, the seventh side is 3 units down, and the eighth side is 6 units left. If the area of Polygon P is 5 square units, what scale factor did Noah apply to Polygon P to create Polygon Q? Explain or show how you know.

Evaluate responses using AI:

OFF

Tags

CCSS.7.G.A.1

7.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Select all the ratios that are equivalent to each other.

Tags

CCSS.6.RP.A.3A

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