Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressing how much of one quantity exists in relation to another.

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 quantity of one item by the quantity of another item, typically expressed as 'per one'.

Front

What is the formula for calculating the total cost after a percentage discount?

Back

Total Cost = Original Price - (Original Price * Discount Percentage).

Front

How can you determine if two quantities are proportional?

Back

Two quantities are proportional if their ratios are equal or if they can be expressed as equivalent fractions.

Front

What does it mean for a relationship to be proportional?

Back

A proportional relationship means that as one quantity changes, the other quantity changes at a constant rate.

Front

What is the significance of the unit rate in real-world applications?

Back

The unit rate helps to compare different quantities and make informed decisions, such as determining the best price per item.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100.

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.

Front

What is a common mistake when interpreting graphs for proportional relationships?

Back

A common mistake is assuming that any straight line represents a proportional relationship; it must pass through the origin to be proportional.