Exploring the Distributive Property in Equations

The video tutorial explores the distributive property and its application in solving equations derived from both abstract and real-world scenarios. It begins with an introduction to the distributive property, followed by solving a problem from a sentence. The tutorial then applies the distributive property to calculate costs in various real-world scenarios, including volleyball uniforms, amusement park expenses, and school breakfasts. Each example demonstrates how to set up and solve equations using the distributive property, emphasizing the importance of parentheses and common sense in problem-solving.

What does the distributive property help us do in equations?

• Combine like terms

• Multiply a single term across terms within parentheses

• Solve for variables without using operations

• Divide terms evenly

How is a difference represented in an equation?

• With a multiplication symbol

• With a plus sign

• With parentheses and a subtraction sign

• By dividing the terms

What is the first step in solving the equation involving three-quarters of a difference?

• Multiply by the reciprocal

• Add 21 to both sides

• Distribute three-quarters across the difference

• Subtract 28 from both sides

How do you find the cost of one volleyball uniform?

• Multiply the number of players by the total cost

• Add the cost of the shirt, pants, and socks

• Divide the total cost by the number of players

• Subtract the cost of socks from the total cost

What mathematical operation is used to find the total cost spent by the coach?

• Subtraction

• Division

• Addition

• Multiplication

How much did each pair of socks cost?

• $15

• $8

• $5

• $10

What is the cost of each locker at the amusement park?

• $5

• $30

• $280

• $8

How is the total spend at the amusement park calculated?

• By multiplying the number of friends by the cost of a ticket

• By adding the cost of tickets and lockers

• By dividing the total spend by the number of friends

• By multiplying the cost of a ticket and locker by the number of friends

What was the price of each juice box in the school breakfast scenario?

• $0.55

• $1.00

• $15.60

• $0.75

How do you solve for the price of an item in a real-world scenario using equations?

• By setting up an equation based on the scenario and solving for the variable

• By guessing the price based on the information given

• By adding all the costs together

• By subtracting the total cost from the number of items