Ratios, Rates & Proportions Test Review

Front

What is a ratio?

Back

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

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common factor (GCF).

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as miles per hour or price per item.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. For example, if you travel 150 miles in 5 hours, the unit rate is 30 miles per hour.

Front

How do you find the unit rate from a total?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if there are 120 customers in 8 hours, divide 120 by 8 to get 15 customers per hour.

Front

What does it mean for two rates to be equivalent?

Back

Two rates are equivalent if they represent the same relationship between the quantities, even if the numbers are different.

Front

If the ratio of cats to dogs is 3 to 5, how do you find the number of cats if there are 25 dogs?

Back

Set up a proportion: 3/5 = x/25. Cross-multiply and solve for x to find there are 15 cats.

Front

What is the formula for finding a rate?

Back

Rate = Total Quantity / Time or Units.

Front

How can you compare two rates to determine which is faster?

Back

Calculate the unit rate for both and compare the results. The higher unit rate indicates the faster rate.

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal. For example, if a/b = c/d, then a:b is proportional to c:d.