Ratios, Rates & Proportions Test Review

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 unit'.

Front

Calculate the unit rate of 624 calories in 3 servings.

Back

208 calories per serving.

Front

What does it mean to find a proportion?

Back

Finding a proportion means determining if two ratios are equivalent.

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, then solve for x to find that there are 15 cats.

Front

What is the formula to find the total distance traveled given speed and time?

Back

Distance = Speed × Time.

Front

If it takes 2 hours to travel 300 miles, what is the speed?

Back

Speed = Distance / Time = 300 miles / 2 hours = 150 miles per hour.

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write it as the first quantity over the second quantity (a:b becomes a/b).

Front

What is the relationship between ratios and proportions?

Back

Ratios are comparisons of two quantities, while proportions state that two ratios are equal.