Linear Inequality Word Problems Explained

The video tutorial explains a problem where Yumi needs to spend $4 or more at a convenience store to use her debit card. It details the costs of doughnuts and orange juice, and sets up an inequality to model the spending requirement. The tutorial evaluates different inequality expressions to find the correct one, concluding with a strategy to solve such problems efficiently.

What is the minimum amount Yumi needs to spend to use her debit card?

• $2

• $3

• $4

• $5

How much does one doughnut cost?

• 50 cents

• 60 cents

• 70 cents

• 80 cents

What is the cost of one bottle of orange juice?

• $2.00

• $1.50

• $1.20

• $1.00

If D represents the number of doughnuts, how would you express the total cost of D doughnuts?

• 0.8D

• 0.5D

• 0.6D

• 1.0D

What inequality represents the total cost Yumi needs to meet or exceed to use her debit card?

• 0.8D + 1.2 > 4

• 0.8D + 1.2 = 4

• 0.8D + 1.2 ≥ 4

• 0.8D + 1.2 < 4

Why can the inequality 0.8D + 1.2 > 4 be ruled out?

• It does not include the cost of the doughnuts.

• It does not include the possibility of spending exactly $4.

• It does not include the cost of the orange juice.

• It is not an inequality.

What is the result of distributing 0.8 in the expression 0.8(D + 1.2)?

• 0.8D + 1.2

• 0.8D + 1.6

• 0.8D + 0.8

• 0.8D + 0.96

Which of the following inequalities correctly models the situation described?

• 0.8D + 1.2 < 4

• 0.8D + 1.2 = 4

• 0.8D + 1.2 ≥ 4

• 0.8D + 1.2 > 4

What is the correct way to write $1.20 in the inequality?

• 1.2

• 1.02

• 0.12

• 12

What should you do if you are short on time and need to quickly identify the correct inequality?

• Guess randomly.

• Skip the question.

• Look for the inequality that includes all given costs and meets the requirement.

• Choose the first option.