Exploring Rates and Ratios in Depth

What is a ratio?

• A comparison of two quantities using addition

• A comparison of two quantities using subtraction

• A comparison of two quantities using division

• A comparison of two quantities using multiplication

What is a rate?

• A ratio of three quantities with the same units

• A ratio of three quantities with different units

• A ratio of two quantities with different units

• A ratio of two quantities with the same units

What is a unit rate?

• A rate with neither numerator nor denominator of one

• A rate with both numerator and denominator of one

• A rate with a denominator of one

• A rate with a numerator of one

How do you simplify the ratio of 60 females to 45 males?

• Divide both by 10

• Divide both by 5

• Divide both by 15

• Divide both by 3

What is the simplified ratio of 60 females to 105 total passengers?

• 5:7

• 2:3

• 3:5

• 4:7

How do you find the speed in miles per second from a table?

• Add the distance and the time

• Divide the distance by the time

• Multiply the distance by the time

• Subtract the time from the distance

What is a complex fraction?

• A fraction with a numerator and denominator that are both whole numbers

• A fraction with a numerator that is a whole number and a denominator that is a fraction

• A fraction with a numerator that is a fraction and a denominator that is a whole number

• A fraction with a numerator and denominator that are both fractions

How much yellow paint is needed to make 20 cups of green paint if the ratio is 1/2 cup of yellow for every 3/4 cup of blue?

• 10 cups

• 12 cups

• 6 cups

• 8 cups

Why are unit rates usually written with a denominator of one?

• They are easier to compare

• They are always in the same unit of measure

• They have fewer numbers

• They provide more information

Which of the following describes a real-life rate?

• Your uncle uses two gallons of milk and one fifth of milk to bake a cake

• The computer has been on for 1.5 hours

• Two miles on Monday, three miles on Tuesday, two miles on Thursday

• A basketball player runs ten feet down the court in two seconds