Inequalities Word Problems

Mona is ordering cups for her school.  Company A charges $3.50 for each cup and a one-time starter fee of $14.  Company B charges $0.50 for each trophy and a one-time starter fee of $22.  
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?

• 3.5x + 14 < 0.5x + 22

• 3.5x + 14 > 0.5x + 22

• 3.5 + 14x < 0.5 + 22x

• 3.5 + 14x > 0.5 + 22x

Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33v > 2v + 10

• 3.33v + 10 > 2v 

• 3.33v < 2v + 10

• 3.33v + 10 < 2v

The inequality shown below represents fees for two different apartments. 500x + 700 < 650x + 200 Which situation below does this inequality represent?

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.

Printing A prints pictures for $0.10 each and a $50 membership fee.  Printing Q prints pictures for $2 each with no membership fee.  Which inequality would be used to determine when Printing A is greater than Printing Q?

• 0.1p + 50 > 2p

• 0.1p + 50 < 2p

• 50p + 0.1 < 2p

• 50p + 0.1 > 2p

Papaya charges $5 per DVD rental and a $10 membership fee.  Hutto charges $2 per DVD and a $60 membership fee.  Which inequality best represents when the charges from Papaya is less than Hutto?

• 10 + 5d < 60 + 2d

• 10 + 5d > 60 + 2d

• 10d + 5 < 60d + 2

• 12d > 70

Q1. What is the result of the following expression: 3 + 5 - 2?

• A) -15

• B) 6

• C) -2

• D) 9

Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?

• 4r + 1.50 < 25

• 4r + 1.50 ≤ 25

• 4 + 1.50r ≥ 25

Timothy has an account balance of $50. He deposits $30 after work every day. How many days will he need to deposit $30 before he has at least $500. Write an inequality to represent the situation and find the number of days he will have to save.

• d > 15

• d < 15

• d ≥ 15

• d ≤ 15

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?

• 1.75m + 0.65 < 10

• 1.75m + 0.65 > 10

• 1.75 + 0.65m ≤ 10

• 1.75 + 0.65m ≥ 10

SkateLand charges a flat rental rate of $50 for a party and $5 for each person. Cindy has no more than $100 to spend on her party. Write an inequality to represent her situation and determine how many people she can invite to her party.

• p < 10

• p > 10

• p ≤ 10

• p ≥ 10