7S: Ratios, Rates, and Proportions

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 calculate a unit rate?

Back

To calculate a unit rate, divide the total quantity by the number of units. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the ratio of 2 dogs to 11 total pets?

Back

The ratio of dogs to all pets is 2:11.

Front

If Antonia types 408 words in 4 minutes, how do you find her typing speed per minute?

Back

To find her typing speed, divide the total words by the total minutes: 408 words ÷ 4 minutes = 102 words per minute.

Front

What does it mean to solve for a variable?

Back

Solving for a variable means finding the value of that variable that makes an equation true.

Front

What is a proportion?

Back

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

Front

How can you express 40 as a ratio of 45?

Back

You can express it as 40:45, which can be simplified to 8:9.

Front

What is the unit rate of 100 miles in 2 hours?

Back

The unit rate is 100 miles ÷ 2 hours = 50 miles per hour.

Front

How do you simplify the ratio 4:8?

Back

To simplify the ratio 4:8, divide both numbers by their greatest common divisor, which is 4. So, 4:8 simplifies to 1:2.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.