Understanding Equations from Real-Life Scenarios

The video tutorial explains how to construct and manipulate algebraic equations to solve real-world problems. It covers three scenarios: calculating the cost of pizzas, determining the total number of ice cream sandwiches eaten, and figuring out the number of candy boxes needed to meet a fundraising goal. The tutorial emphasizes understanding the relationships between variables and constants and how to manipulate equations to find solutions.

What equation represents the total cost of p boxes of pizza if each box costs $8 and the total cost is $40?

• p = 8 + 40

• 8p = 40

• p + 8 = 40

• 8 = 40p

If the total cost of pizza is $40 and each box costs $8, how can you express the number of boxes, p?

• p = 40 / 8

• p = 8 + 40

• p = 8 / 40

• p = 40 * 8

Which of the following is NOT an equivalent expression for the equation 8p = 40?

• p = 8 * 40

• p = 40 / 8

• 40 / p = 8

• 8 = 40 / p

If the total cost of pizza is $40 and each box costs $8, what is the incorrect expression for the number of boxes, p?

• p = 40 * 8

• 40 / p = 8

• 8 / 40 = p

• p = 40 / 8

Which equation correctly represents the total number of ice cream sandwiches eaten by Molly and Tory if Molly ate 5 and Tory ate n?

• 5 + n = 12

• n - 5 = 12

• n + 5 = 5

• 5 - n = 12

What is the correct equation for the total number of ice cream sandwiches eaten by Molly and Tory?

• n - 5 = 12

• 5 - n = 12

• 12 = n + 5

• n = 5 + 12

What is the incorrect equation for the ice cream scenario?

• n - 5 = 12

• 5 + n = 12

• n + 5 = 12

• 12 = n + 5

Which equation is consistent with the statement that Molly and Tory ate a total of 12 ice cream sandwiches?

• n + 5 = 5

• n - 5 = 12

• 5 + n = 12

• 5 - n = 12

If Mr. Herman's class wants to raise $500 by selling c boxes of candy at $2 each, what equation should they use?

• 2c = 500

• c = 500 / 2

• 2 + c = 500

• c + 2 = 500

How many boxes of candy does Mr. Herman's class need to sell to reach their goal of $500?

• 150

• 300

• 200

• 250