Multi Step Inequalities Variables on Both Sides

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.

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

what is your first step?

• add 6 to both sides

• distribute 4 to the quantity (8a-6)

• add a to both sides

• combine 8a-6 to get 2

Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x > 200

-6x +1 < -35-4x

• x < 17

• x < 18

• x > 18

• x > 17

Solve:
7(x + 3) < 5x + 13

• x>-4

• x < 17

• x<-4

• x > -17

4(2a + 3) < 3(a - 1)

• a < -3

• a > -3

• a < 3

• a > 3

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

14 < -2a + 6 - 2a

• a > -2

• a < -2

• a > 5

• a < -5