Writing Inequalities

Joe’s Catering Company charges a $45 set-up fee plus $12.50 per person. Jimmy’s catering company charges a $75 set up fee plus $7.50 per person. Which inequality could be used to determine x, the number of people for which Joe’s Catering Company would be less expensive than Jimmy’s catering company?

• 45 + 12.5x > 75 + 7.5x

• 45 + 12.5x ≥ 75 + 7.5x

• 45 + 12.5x < 75 + 7.5x

• 45 + 12.5x ≤ 75 + 7.5x

Tags

CCSS.7.EE.B.4B

Norah has never lost a tooth, but she will receive $0.75 from the tooth fairy each time she loses a tooth. Kate has $1.25 from the tooth fairy, and she gets $0.25 each time she loses a tooth. Which inequality could be used to find x, the number of teeth that each girl would have to lose for Norah to have at least as much money from the tooth fairy as Kate?

• 0.75x ≥ 1.25 + 0.25x

• 0.75x ≥ 1.25 – 0.25x

• 0.75x ≤ 1.25 + 0.25x

• 0.75x > 1.25 + 0.25x

Tags

CCSS.7.EE.B.4B

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

Tags

CCSS.7.EE.B.4B

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to determine how many blinds would need to be installed for the price to be equal.

• 25 + 5x = 30 + 4x
• 25 - 5x = 30 - 4x
• 30 - 25 = 4x + 5x
• 25x + 5 = 30x + 4

Tags

CCSS.8.EE.C.7B

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 

• 125 - 100 = 45x + 30x
• 100x + 45 = 125x + 30
• 100 + 45x = 125 + 30x
• 100 - 45x = 125 - 30x 

A rental car agency charges $30.00 a day plus per mile $0.15. Another rental car agency charges $36.00 a day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 

• 30 + 0.15x = 36 + 0.10x
• 30 - 0.15x = 36 - 0.10x
• 30 + 36 = 0.10x + 0.36x
• 36 - 30 = 0.36x + 0.10x

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 

• 150x + 24 = 180 + 20x
• 150 + 24x = 180 + 20x
• 180 - 150 = 24 x + 20x
• 150 - 24x = 180 - 20x

Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 

• 125 - 100 = 45x + 30x
• 100x + 45 = 125x + 30
• 100 + 45x = 125 + 30x
• 100 - 45x = 125 - 30x 

The Rug store 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

Choose the best inequality that represents the situation.

• 250 + 175 = 50x + 65x

• 250 + 50x ≥ 175 + 65x

• 250 + 50x > 175 + 65x

• 175 + 65x ≥ 250 + 50x

Tags

CCSS.7.EE.B.4B