Lesson 4: Practice Problems

Problem 1

Here is a diagram showing a mixture of red paint and green paint needed for 1 batch of a particular shade of brown.

Add to the diagram so that it shows 3 batches of the same shade of brown paint.

A discrete diagram for two quantities labeled "red paint, in cups" and "green paint, in cups". The data are as follows: red paint, 2 squares. green paint, 3 squares.

Problem 2

Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint. Which of these mixtures produce the same shade of green paint as Diego’s mixture? Select all that apply.

  1. For every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint.

  2. Mix tablespoons of blue paint and yellow paint in the ratio .

  3. Mix tablespoons of yellow paint and blue paint in the ratio 15 to 3.

  4. Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint.

  5. For every tablespoon of blue paint, mix in 5 tablespoons of yellow paint.

Problem 3

To make 1 batch of sky blue paint, Clare mixes 2 cups of blue paint with 1 gallon of white paint.

  1. Explain how Clare can make 2 batches of sky blue paint.

  2. Explain how to make a mixture that is a darker shade of blue than the sky blue.

  3. Explain how to make a mixture that is a lighter shade of blue than the sky blue.

Problem 4 From Unit 2 Lesson 2

A smoothie recipe calls for 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup.

  1. Create a diagram to represent the quantities of each ingredient in the recipe.

  2. Write 3 different sentences that use a ratio to describe the recipe.

Problem 5 From Unit 2 Lesson 1

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

A number line with 7 tick marks with the first tick mark labeled 0, the third is labeled 6, and the 6th is labeled 15

Problem 6 From Unit 1 Lesson 4

Find the area of the parallelogram. Show your reasoning.

A parallelogram in a grid. The parallelogram has two vertical sides that are 3 units tall and two sides that rise 4 units over 7 units across.

Problem 7 From Unit 2 Lesson 1

Complete each equation with a number that makes it true.


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