Ratios & Unit Rates Practice

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 calculate the cost per item?

Back

To calculate the cost per item, divide the total cost by the number of items. For example, if 8 apples cost $4, the cost per apple is $4 ÷ 8 = $0.50.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity. For example, if 15 cups of sugar are used for 3 cups of flour, the unit rate of sugar to flour is 5:1.

Front

How do you convert a ratio to a unit rate?

Back

To convert a ratio to a unit rate, divide both parts of the ratio by the second quantity. For example, for a ratio of 15:3, divide both by 3 to get 5:1.

Front

What is the formula for speed?

Back

Speed is calculated using the formula: Speed = Distance ÷ Time. For example, if a cyclist travels 45 miles in 3 hours, their speed is 45 ÷ 3 = 15 miles per hour.

Front

If 10 muffins cost $5, what is the cost of one muffin?

Back

The cost of one muffin is calculated by dividing the total cost by the number of muffins: $5 ÷ 10 = $0.50.

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form. For example, the ratio 15:3 simplifies to 5:1.

Front

How do you find the total cost from a unit price?

Back

To find the total cost from a unit price, multiply the unit price by the number of items. For example, if one apple costs $0.50, then 8 apples cost $0.50 × 8 = $4.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions. For example, the ratio 2:3 can be written as the fraction 2/3.

Front

How can you express a ratio in different forms?

Back

A ratio can be expressed in several forms: as a fraction, with a colon (a:b), or in words (e.g., '2 to 3').