Exploring Real World Variables in Pre-Algebra

The video tutorial covers setting up and solving equations with variables on both sides in real-world scenarios. It includes examples such as calculating equal earnings for babysitters, determining the cost of games with discounts, finding the total pages in a book based on a reading schedule, and comparing shipping costs between UPS and FedEx. The tutorial emphasizes understanding the problem, setting up equations, and solving them to find meaningful solutions.

What is the first step in solving real-world problems with variables on both sides?

• Solve the equation

• Check the answer

• Highlight and underline important information

• Create the equation

Lauren charges $9 per hour with no travel fee, while Anna charges $4 per hour with a $5 travel fee. How many hours do they need to work to earn the same amount?

• 4 hours

• 1 hour

• 2 hours

• 3 hours

If Lauren and Anna work for less than an hour, who earns more money?

• Both earn the same

• It depends on the number of hours

• Anna

• Lauren

Ben bought two Xbox games and paid $3 extra for insurance on Monday. On Friday, he bought three more games and got an $8 discount. If he paid the same amount each day, what is the cost of each game?

• $10

• $12

• $11

• $9

What additional cost did Ben incur on Monday when he bought Xbox games?

• $5

• $3

• $8

• $2

Maria read 45 pages on Monday, half of the book on Tuesday, and the remaining 72 pages on Wednesday. How many pages are in the book?

• 220 pages

• 250 pages

• 234 pages

• 200 pages

On which day did Maria read half of the book?

• Monday

• Tuesday

• Wednesday

• Thursday

UPS charges $7 for the first pound and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. At what weight will the cost be the same for both services?

• 23 pounds

• 21 pounds

• 22 pounds

• 20 pounds

What is the additional cost per pound for FedEx after the first pound?

• $0.35

• $0.20

• $0.25

• $0.30

If a package weighs less than 21 pounds, which shipping service is cheaper?

• UPS

• Both are the same

• FedEx

• It depends on the weight