Lesson 1: Practice Problems

Problem 1

Here is a diagram that describes the cups of green and white paint in a mixture.

"A diagram of squares that represent the number of cups of paint. The top row is labeled "green paint, in cups" and contains 4 green squares. The bottom row is labeled "white paint, in cups" and contains 2 white squares."

Select all the statements that accurately describe this diagram.

  1. The ratio of cups of white paint to cups of green paint is 2 to 4.

  2. For every cup of green paint, there are two cups of white paint.

  3. The ratio of cups of green paint to cups of white paint is .

  4. For every cup of white paint, there are two cups of green paint.

  5. The ratio of cups of green paint to cups of white paint is .

Problem 2

To make a snack mix, combine 2 cups of raisins with 4 cups of pretzels and 6 cups of almonds.

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

  2. Use your diagram to complete each sentence.

    • The ratio of to to is

    : : .

    • There are cups of pretzels for every cup of raisins.

    • There are cups of almonds for every cup of raisins.

Problem 3

  1. A square is 3 inches by 3 inches. What is its area?

  2. A square has a side length of 5 feet. What is its area?

  3. The area of a square is 36 square centimeters. What is the length of each side of the square?

Problem 4 From Unit 1 Lesson 9

Find the area of this quadrilateral. Explain or show your strategy.

A blue quadrilateral on a blank grid with a height of 8 and measuring 6 across

Problem 5

Complete each equation with a number that makes it true.