Grade 6 | Unit 3 | Lesson 7: Equivalent Ratios Have the Same Unit Rates | Practice Problems

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows how many times one value contains or is contained within the other.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide both quantities in the ratio by the same number to express the ratio as a quantity per one unit of the other.

Front

If a recipe calls for 4 onions and 8 tomatoes, what is the ratio of tomatoes to onions?

Back

The ratio of tomatoes to onions is 8:4, which simplifies to 2:1.

Front

What is the unit rate of tomatoes per onion in the previous example?

Back

The unit rate of tomatoes per onion is 2, meaning there are 2 tomatoes for every 1 onion.

Front

If you have a ratio of 3:6, what is the equivalent ratio?

Back

An equivalent ratio is 1:2, obtained by dividing both sides by 3.

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and comparing the products.

Front

What is the meaning of a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' unit.

Front

If a car travels 120 miles in 2 hours, what is the unit rate of miles per hour?

Back

The unit rate is 60 miles per hour.

Front

What is the significance of equivalent ratios in real-life situations?

Back

Equivalent ratios help in understanding proportions in recipes, scaling, and comparing quantities in various contexts.