Lesson 6: Practice Problems

Problem 1

A scooter travels 30 feet in 2 seconds at a constant speed.

A double number line-the top line is distance (feet) and the bottom is time (in seconds) with 6 tick marks starting at 0 and a third tick mark labeled 30 on top and 2 below it.

  1. What is the speed of the scooter in feet per second?

  2. Complete the double number line to show the distance the scooter travels after 1, 3, 4, and 5 seconds.

  3. A skateboard travels 55 feet in 4 seconds. Is the skateboard going faster, slower, or the same speed as the scooter?

Problem 2

The double number line shows that 4 pounds of tomatoes cost $14. Draw tick marks and write labels to show the prices of 1, 2, and 3 pounds of tomatoes.

A double number line with one tick mark at the beginning of the line and one at the end. The top number line is labeled “pounds of tomatoes” with the first tick mark labeled 0 and the last tick mark labeled 4. The bottom number line is labeled “cost in dollars” with the first tick mark labeled 0 and the last tick mark labeled 14.

Problem 3

4 movie tickets cost $48. At this rate, what is the cost of:

  1. 5 movie tickets?

  2. 11 movie tickets?

Problem 4

Priya bought these items at the grocery store. Find each unit price.

  1. 12 eggs for $3. How much is the cost per egg?

  2. 3 pounds of peanuts for $7.50. How much is the cost per pound?

  3. 4 rolls of toilet paper for $2. How much is the cost per roll?

  4. 10 apples for $3.50. How much is the cost per apple?

Problem 5

Han ran 10 meters in 2.7 seconds. Priya ran 10 meters in 2.4 seconds.

  1. Who ran faster? Explain how you know.

  2. At this rate, how long would it take each person to run 50 meters? Explain or show your reasoning.

Problem 6

The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:

  1. 1 bag

  2. 9 bags

Problem 7 From Unit 2 Lesson 3

Each of these is a pair of equivalent ratios. For each pair, explain why they are equivalent ratios or draw a representation that shows why they are equivalent ratios.

  1. and

  2. and

  3. and