Writing Inequalities Word Problems

A customer is ordering hats and T-shirts from an online store. Each hat costs $7, and each T-shirt costs $10. The customer receives free shipping if the amount of the order is over $100.

Write an inequality that represents all possible combinations of hats, x, and T-shirts, y, in an order that qualifies for free shipping.

​ (a)   x + ​ (b)   y ​ (c)   ​ (d)  

• 7
• 10
• >
• 100
• 17
• <
• =

Tags

AI.9.2.H

Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck are 75% of the cost of tickets for the lower deck. Which inequality represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

• 42x + 56y > 800

• 42x + 31.5y > 800

Tags

AI.9.2.H

A university will spend at most $4,500 to buy monitors and keyboards for a computer lab. Each monitor will cost $250, and each keyboard will cost $50.

Write an inequality that represents all possible combinations of x, the number of monitors, and y, the number of keyboards, the university can buy for the computer lab?

Use Standard Form.

Must include x and y,

Use an inequality sign.

Mathematical Equivalence

ON

At least 25 cats are on my porch.

• c<25
• c>25
• c≤25
• c≥25

Tags

AI.9.2.H

There are fewer than 150 children at the playground.

• c<150
• c>150
• c≤150
• c≥150

Tags

AI.9.2.H