Ratios and Proportions Review

Front

What is a ratio?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 624 calories in 3 servings, the unit rate is 624 ÷ 3 = 208 calories per serving.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the constant of proportionality in the equation y = kx?

Back

The constant of proportionality (k) is the number that relates the two variables in a proportional relationship.

Front

If 1 gallon equals 4 quarts, how many quarts are in 25 gallons?

Back

There are 100 quarts in 25 gallons (25 gallons × 4 quarts/gallon = 100 quarts).

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator. For example, the ratio 2:3 can be written as the fraction 2/3.

Front

What is the unit rate of 408 words in 4 minutes?

Back

The unit rate is 102 words per minute (408 words ÷ 4 minutes = 102 words/minute).

Front

If a car travels 300 miles in 5 hours, what is the unit rate in miles per hour?

Back

The unit rate is 60 miles per hour (300 miles ÷ 5 hours = 60 miles/hour).

Front

What does it mean if two ratios are equivalent?

Back

If two ratios are equivalent, it means they represent the same relationship between quantities.