Lesson 3: Practice Problems

Problem 1

A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.

A discrete diagram for three quanties labeled "mustard seeds, in teaspoons", "chili powder, in teaspoons", and "salt, in teaspoons". The data are as follows: mustard seeds, 9 squares. chili powder, 15 squares. salt, 3 squares.

Problem 2

Priya makes chocolate milk by mixing 2 cups of milk and 5 tablespoons of cocoa powder. Draw a diagram that clearly represents two batches of her chocolate milk.

Problem 3

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1.

  1. Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

  2. Describe another mixture of sparkling water and grape juice that would taste different than this recipe.

Problem 4 From Unit 2 Lesson 1

Write the missing number under each tick mark on the number line.

A number line showing 5 tick marks starting at 18, then unlabeled, then 30, then unlabeled, ending at 42.

Problem 5 From Unit 2 Lesson 1

At the kennel, there are 6 dogs for every 5 cats.

  1. The ratio of dogs to cats is to .

  2. The ratio of cats to dogs is to .

  3. For every dogs there are cats.

  4. The ratio of cats to dogs is : .

Problem 6 From Unit 1 Lesson 17

Elena has 80 unit cubes. What is the volume of the largest cube she can build with them?

Problem 7 From Unit 2 Lesson 1


  4. (As long as does not equal 0.)