Exploring Adding and Subtracting Rational Expressions

The video tutorial covers solving word problems using proportions. It begins with an introduction to proportions and their application in solving problems with a constant rate. The tutorial includes various examples, such as calculating the number of hamburgers sold, determining the number of children in a preschool, converting distances, and calculating costs based on weight. Each example demonstrates setting up and solving proportions, emphasizing consistency in units and rounding results when necessary.

Why is it important to stay consistent when setting up proportions?

• To make the problem easier to understand

• To ensure the units match on each side of the equal sign

• To make the calculations faster

• To avoid using a calculator

If the ratio of hot dogs to hamburgers sold is 8 to 3, how many hamburgers were sold if 272 hot dogs were sold?

• 85

• 91

• 102

• 110

In a preschool with a ratio of children to teachers of 14 to 5, how many children are there if there are 30 teachers?

• 70

• 84

• 90

• 75

Malaya has 32 pieces of candy for $16. How many pieces can she buy with $4?

• 6

• 10

• 8

• 12

If 3 out of 4 students have at least one sibling, how many students have at least one sibling in a school of 300 students?

• 250

• 225

• 275

• 200

How many miles are between two houses if one mile is approximately 1.6 kilometers and the distance is 5 kilometers?

• 3.1 miles

• 5.0 miles

• 2.5 miles

• 4.2 miles

If Brett paid $7.14 to check a 42-pound bag, how much will Eileen pay if her bag weighs 63 pounds?

• $13.50

• $9.50

• $10.71

• $12.00

If one gallon is approximately 3.8 liters, how many liters are in 4.5 gallons?

• 15.2 liters

• 16.5 liters

• 18.0 liters

• 17.1 liters

Nick walks 3/4 of a mile in 12 minutes. How many minutes does it take to walk 3 miles?

• 72 minutes

• 60 minutes

• 48 minutes

• 36 minutes

If a brownie recipe calls for 3 eggs to make 18 brownies, how many eggs are needed for 48 brownies?

• 9 eggs

• 7 eggs

• 6 eggs

• 8 eggs