Inequality and Equations Word Problems

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600

• 125x + 55 ≥ 600

• 125x + 55 > 600

• 125x + 55 < 600

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

Hailey bought a book for $2.50 and 4 stickers. She spent a total of 6.59. How much did the stickers cost?

• $2.50 + 4s =$6.59

• $2.50 - 4s =$6.59

• $2.50s + 4 = $6.59

• 4s - $2.50 = $6.59

Jazmine joined a music club. The start up fee was $10.00. Each song she downloads is $0.99. If she spent a total of $15.94, how many songs did she download?

• $10.00 + $0.99m = $15.94

• $10.00/$0.99m = $15.94

• $10.00 - $0.99m = $15.94

• $10.00m + $0.99 = $15.94

Jenna earns $15.00 a month for allowance. How many months will it take her to save $105.00?

• $15.00 + w = $105.00

• $15.00w = $105.00

• $15.00 - w = $105.00

• $15.00 / w = $105.00

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.

• c/7 - 4 = 8

• 4/c - 7 = 8

• c/4 + 7 = 8

• c/4 - 7 = 8

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

• 50 + 150 + h = 375

• 150h = 375 - 50

• 50h - 150 = 375

• 375 = 150 + 50h

Amy had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

• 2(x-10)=4

• x-10=2(4)

• x-10/4=2

• (x-10)/4=2

Keith bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 40 cards left. How many cards did Keith start with?

• 40 = 1/2 (c + 5)

• 40 - 5 = c

• c = 1/2 (40) + 5

• 1/2c + 5 = 40

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 15 + x + 0.20

• C =15 (0.20x)

• C = 0.20x + 15

• C = 0.20 + 15x