Exploring Rational Expressions: Addition and Subtraction

This video tutorial covers the concepts of rates and unit rates, explaining how to convert rates into unit rates through division. It provides examples of calculating unit rates in various contexts, such as children per class and marbles per jar. The tutorial also explores unit rates in pricing, teaching how to determine the cost per unit for items like ribbon and pencils. Finally, it demonstrates how to compare deals using unit prices to find the best buy.

What is a rate?

• A comparison of two similar quantities

• A percentage

• A ratio that compares two different quantities

• A fraction with a numerator of one

How do you convert a rate to a unit rate?

• Divide the numerator by the denominator

• Add the numerator and the denominator

• Multiply the numerator by the denominator

• Subtract the denominator from the numerator

If you have 175 children in 5 classes, what is the unit rate of children per class?

• 30 children per class

• 25 children per class

• 35 children per class

• 40 children per class

How many magazines per box if you have 228 magazines in 4 boxes?

• 56 magazines per box

• 55 magazines per box

• 57 magazines per box

• 58 magazines per box

What is the unit price if 6 feet of ribbon costs $19.20?

• $3.60 per foot

• $3.40 per foot

• $3.20 per foot

• $3.00 per foot

How much does one pencil cost if 12 pencils cost $1.44?

• 10 cents per pencil

• 12 cents per pencil

• 11 cents per pencil

• 13 cents per pencil

Which option is the better buy: $195 for 15 pizzas or $120 for 10 pizzas?

• $195 for 15 pizzas

• $120 for 10 pizzas

• Both are the same

• Neither is a good deal

Which option is cheaper per binder: $30 for 12 binders or $16.80 for 7 binders?

• Neither is a good deal

• $30 for 12 binders

• $16.80 for 7 binders

• Both are the same

What is the unit price per ounce if 20 ounces of a product costs 95 cents?

• 5 cents per ounce

• 5.25 cents per ounce

• 4.75 cents per ounce

• 4.5 cents per ounce

Which option is the better buy: $1.80 for 3 apples or $13.50 for 15 apples?

• Neither is a good deal

• $13.50 for 15 apples

• $1.80 for 3 apples

• Both are the same