ratios, proportions 7th grade Flashcard

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 write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 4:3), as a fraction (e.g., 4/3), or with the word 'to' (e.g., 4 to 3).

Front

What is a proportion?

Back

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

Front

How do you determine if two ratios form a proportion?

Back

Two ratios form a proportion if the cross products are equal.

Front

What is the cross product of the ratios a/b and c/d?

Back

The cross product is ad and bc. If ad = bc, then the ratios a/b and c/d are proportional.

Front

What is the ratio of red apples to green apples if there are 4 red apples and 3 green apples?

Back

The ratio of red apples to green apples is 4:3.

Front

If a basketball team has 25 wins and 45 losses, what is the ratio of wins to losses?

Back

The ratio of wins to losses is 5:9.

Front

What is the missing number in the ratio 3:5 = x:15?

Back

The missing number is 9.

Front

How do you simplify the ratio 12:16?

Back

To simplify the ratio 12:16, divide both numbers by their greatest common divisor, which is 4. The simplified ratio is 3:4.

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 'per' (e.g., miles per hour).