Exploring Algebra 1 Inequalities Through Word Problems

The video tutorial covers solving word problems using inequalities. It begins with a review of key vocabulary such as 'more than', 'less than', 'at least', and 'at most'. The tutorial then presents three examples: calculating advertising revenue, determining the number of souvenirs for baggage weight limits, and assessing landfill capacity over time. Each example involves defining variables, setting up inequalities, and solving them to find solutions. The tutorial emphasizes understanding the context and applying mathematical concepts to real-world scenarios.

What does the phrase 'more than' signify in mathematical terms?

• Less than or equal to

• Equal to

• Greater than

• Less than

If the cost to buy a sweater is less than $30, which symbol would you use?

• >

• =

• ≥

• <

What does 'at least' mean in mathematical terms?

• Less than

• Greater than or equal to

• Equal to

• Less than or equal to

In a business context, if you want to earn $50 or more per month, which inequality would you use?

• Earnings < $50

• Earnings ≤ $50

• Earnings ≥ $50

• Earnings = $50

If Salim's website earns $15 per month plus $0.05 per click, how many clicks are needed to earn at least $50 per month?

• 600

• 500

• 800

• 700

What variable would you use to represent the number of clicks per month in the advertising revenue problem?

• S

• H

• C

• X

If your bag weighs 16 pounds plus 2 pounds for each souvenir, how many souvenirs can you add if the bag can weigh no more than 50 pounds?

• 18

• 15

• 16

• 17

Why might you choose 'X' instead of 'S' for the variable representing souvenirs?

• X is a common variable

• X is easier to write

• S is not a valid variable

• S looks like the number 5

If a landfill has a capacity of 325,000 tons and starts with 175,000 tons, increasing by 7,500 tons per year, which inequality represents the years when the landfill is at or above capacity?

• 175,000 + 7,500Y ≤ 325,000

• 175,000 + 7,500Y < 325,000

• 175,000 + 7,500Y = 325,000

• 175,000 + 7,500Y ≥ 325,000

What does 'at or above capacity' mean in mathematical terms?

• Greater than

• Greater than or equal to

• Less than

• Equal to