Lesson 2: Practice Problems

Problem 1

When Han makes chocolate milk, he mixes 2 cups of milk with 3 tablespoons of chocolate syrup. Here is a table that shows how to make batches of different sizes.

A 2-column table with 4 rows of data. The first column is labeled "cups of milk" and the second column is labeled "tablespoons of chocolate syrup." Row 1: 2, 3; Row 2: 8, 12; Row 3: 1, 3/2; Row 4: 10, 15. There is an arrow pointing from row 1 to row 2 labeled "times 4."

Use the information in the table to complete the statements. Some terms are used more than once.

Bank of Terms: tablespoons of chocolate syrup, , cups of milk, cup of milk,

  1. The table shows a proportional relationship between and .

  2. The scale factor shown is .

  3. The constant of proportionality for this relationship is .

  4. The units for the constant of proportionality are per .

Problem 2

A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.

  1. How many cups of red paint should be added to 1 cup of white paint?

    cups of white paint

    cups of red paint

  2. What is the constant of proportionality?

Problem 3 From Unit 1 Lesson 12

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.

  1. What is the actual area of the park? Show how you know.

  2. 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.

Problem 4 From Unit 1 Lesson 6

Noah drew a scaled copy of Polygon and labeled it Polygon .

If the area of Polygon is 5 square units, what scale factor did Noah apply to Polygon to create Polygon ? Explain or show how you know.

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 is3 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.

Problem 5 From Unit 2 Lesson 5

Select all the ratios that are equivalent to each other.