11/11 Writing Inequalities

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month.

Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

• 30 + 20x < 15 + 30x
• 30x + 20 < 15x + 30
• 30 + 20x > 15 + 30x
• 30x + 20 > 15x + 30

Tags

CCSS.7.EE.B.4B

The Rug Palace installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. 

Write an inequality that could be used to determine the number of square yards of carpet that need to be installed for The Rug Store to charge more than The Magic Carpet.

• 80+9.50x > 120+7.50x
• 80+9.50x < 120+7.50x
• 80x+9.50 > 120x+7.50
• 80x+9.50 < 120x+7.50

Tags

CCSS.7.EE.B.4B

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 ordered 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

Tags

CCSS.7.EE.B.4B

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.

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

Renting games online from Netwii costs $3.33 for each 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

Tags

CCSS.7.EE.B.4B

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

• 5 + 0.20p = 7 + 0.30p

• 7 + 0.20p = 5 - 0.30p

• 7p + 0.20 = 5p + 0.30

• 7 + 0.20p = 5 + 0.30p

Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

• 800m - 6 = 1000m - 10

• 800 + 6m = 1000m +10

• 800 - 6m =1000 - 10m

• 800m + 6 =1000 + 10m

Tags

CCSS.8.EE.C.7B

A family is eating chips from two different bags during a movie.

They ate 20 chips every hour from the Lays Classic bag. They had already eaten 10 chips from the Lays Wavy bag and ate 17 chips every hour then on.

Which inequality represents how many hours it will take for the bag of Lays Classic to be emptier than the bag of Lays Wavy.

• 10x + 17 < 20x

• 20x < 17x + 10

• 20x > 17x + 10

• 10x + 17 > 20x

Tags

CCSS.7.EE.B.4B

Tags

CCSS.7.EE.B.4B