Lesson 12: Practice Problems

Problem 1

Describe a situation where each of the following quantities might be useful.

  1. -20 gallons per hour

  2. -10 feet per minute

  3. -0.1 kilograms per second

Problem 2

A submarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.

  1. At what depth is it after:

    • 1 stage

    • 2 stages

    • 4 stages

  2. How many stages will it take to return to the surface?

Problem 3

Some boats were traveling up and down a river. A satellite recorded the movements of several boats.

  1. A motor boat traveled -3.4 miles per hour for 0.75 hours. How far did it go?

  2. A tugboat traveled -1.5 miles in 0.3 hours. What was its velocity?

  3. What do you think that negative distances and velocities could mean in this situation?

Problem 4 From Unit 4 Lesson 3

  1. A cookie recipe uses 3 cups of flour to make 15 cookies. How many cookies can you make with this recipe with 4 cups of flour? (Assume you have enough of the other ingredients.)

  2. A teacher uses 36 centimeters of tape to hang up 9 student projects. At that rate, how much tape would the teacher need to hang up 10 student projects?

Problem 5 From Unit 5 Lesson 11

Evaluate each expression. When the answer is not a whole number, write your answer as a fraction.