Ratios, Rates, and Unit Rates

The video lesson covers the concept of ratios, including part-to-part and part-to-whole relationships. It explains how ratios can be expressed in different forms and introduces rates and unit rates. The lesson provides examples of calculating unit rates and discusses equivalent ratios using ratio tables. Practice problems are included to reinforce learning.

Which of the following is NOT a correct way to express the ratio of 2 circles to 3 triangles?

• 3:2

• 2 to 3

• 2/3

• 2:3

What is the unit rate if 12 cupcakes cost $24?

• $1 per cupcake

• $2 per cupcake

• $3 per cupcake

• $4 per cupcake

How do you simplify a complex fraction like 5/4 divided by 1/2?

• Multiply 5/4 by 2

• Add 5/4 and 1/2

• Divide 5/4 by 2

• Multiply 5/4 by 1/2

If a swan flies 1 and 1/4 miles in 2/3 of a minute, what is its speed in miles per minute?

• 2 miles per minute

• 1 and 7/8 miles per minute

• 1 and 3/4 miles per minute

• 1 and 1/2 miles per minute

What is the equivalent ratio of 5 to 3 when multiplied by 2?

• 6 to 4

• 15 to 9

• 8 to 5

• 10 to 6

In a class of 24 students, if the ratio of girls to boys is 5 to 3, how many boys are there?

• 11

• 8

• 9

• 10

If you have 1/2 cup of milk and 2 tablespoons of chocolate syrup, what is the equivalent ratio when you double the milk?

• 1/2 cup to 4 tablespoons

• 2 cups to 4 tablespoons

• 1 cup to 4 tablespoons

• 1 cup to 2 tablespoons

What is the equivalent ratio of 1 and 3/4 cups of milk to 7 tablespoons of chocolate syrup?

• 1 and 3/4 to 7

• 2 to 8

• 1 and 1/2 to 6

• 1 to 4

How many tablespoons of chocolate syrup are needed for 2 and 1/2 cups of milk?

• 8

• 9

• 11

• 10

Which of the following is NOT an equivalent ratio to 1/2 cup of milk to 2 tablespoons of chocolate syrup?

• 1 cup to 4 tablespoons

• 2 cups to 8 tablespoons

• 1 and 1/2 cups to 6 tablespoons

• 3 cups to 12 tablespoons