Ratio and Proportion - Unit Review #1

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, $6 for each hour is a unit rate.

Front

How do you calculate the time it takes to complete a race based on speed?

Back

To calculate the time to complete a race, use the formula: Time = Distance ÷ Speed. If Mr. Dulin runs 5 miles in 42 minutes, his speed is 5 miles / 42 minutes.

Front

If the ratio of tenants to cars is 3:5 and there are 30 tenants, how many cars are there?

Back

To find the number of cars, set up a proportion: 3/5 = 30/x. Cross-multiply to find x = 50 cars.

Front

How do you find the time it takes for a bird to fly a certain distance at a constant speed?

Back

Use the formula: Time = Distance ÷ Speed. If a bird flies 35 meters in 10 seconds, its speed is 3.5 meters/second.

Front

What is the ratio of dolls to teddy bears if there are 80 dolls and the ratio is 4:5?

Back

Set up a proportion: 4/5 = 80/x. Cross-multiply to find x = 100 teddy bears.

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

What does it mean to simplify a ratio?

Back

To simplify a ratio means to reduce it to its smallest form by dividing both terms by their greatest common factor.

Front

How can you express a ratio in different forms?

Back

A ratio can be expressed as a fraction, with a colon (e.g., 3:5), or with the word 'to' (e.g., 3 to 5).

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal. For example, if 3/5 = 6/10, then the two ratios are in proportion.

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, use cross-multiplication. For example, if a/b = c/d, then ad = bc.