Inequalities Word Problems

• -13
• 13
• 26
• -26

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

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

Q1. What is the result of the following expression: -15 + 6 - 2 + 9?

• -15

• 6

• -2

• 9

Plop has $50 and spends $3 every day.  Flip has $4 and saves $3 every day.  Which equation could be used to determine when they have the same amount of money?

• 50 + 3x = 4 - 3x

• 50 - 3x = 4 - 3x

• 50 + 3x = 4 + 3x

• 50 - 3x = 4 + 3x

Tito opened a savings account with $100. He saves $25 per month. Which of the inequalities below can be used to find the least number of months it will take Tito to have $700 saved?

• 100 + 25x ≥ 700

• 25 + 100x ≥ 700

• 700 + 25x ≥ 100

• answer is not given

There are 60 members in the school glee club. The glee club needs to raise at least $5,000 for a trip to a national competition. The school agreed to contribute $1,000 toward the trip. Which of the inequalities below shows the amount of money that each glee club member needs to raise to help pay for the trip?

• 60x + 1,000 ≥ 5,000

• answer is NOT given

• 60x + 5,000 ≥ 1,000

• 1,000x + 60 ≥ 5,000