Manzer - Equations & Inequalities from Word Problems

Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?

• 4x + 2 < 30
• 4x + 2 ≤ 30
• 4x + 2 > 30
• 4x + 2 ≥ 30

Tim had 123 dollars to spend on 7 books. After buying them he had 11 dollars. How much did each book cost?

• 123 - 7x = 11
• 123 + 7x = 11
• 123 x - 7 = 11
• 123x + 7 = 11

On Monday, 531 students went on a trip to the zoo. All 9 buses were filled and 9 students had to travel in cars. How many students were in each bus?

• 531 = 9x - 9
• 531 = 9x
• 531 = 9x + 9
• 531 = 9 - 9x

Sue and Cath have $20 left for a cab fare home. The cab fare is $3 per mile plus a $2 fixed charge. What is the maximum number of miles they will be able to travel in the cab?

• 3x + 2 ≤ 20
• 3x + 2 ≥ 20
• 3 + 2x ≤ 20
• 3 + 2x  ≥ 20

Bert already has $50 but needs a total of at least $250 for his holiday. He gets paid $20 per day for delivering papers. What is the least number of days he must work to get enough money for his holiday?

• 20x + 50 > 250
• 20x + 50 < 250
• 20x + 50 ≤ 250
• 20x + 50 ≥ 250

Jennifer is planning a holiday. The hotel costs $60 per night and her flights cost $150. She has a budget of $500 for hotel and flights. Up to how many nights can she afford in the hotel?

• 500 < 60x + 150
• 500 > 60x + 150
• 500 ≤ 60x + 150
• 500 ≥ 60x + 150

Oceanside Bike Rental Shop charges 12 dollars plus 8 dollars an hour for renting a bike. Fred paid 76 dollars to rent a bike. How many hours did he pay to have the bike checked out?

• 12 - 8x = 76
• 12 + 8x = 76
• 12x + 8 = 76
• 12x - 8 = 76

Commission or salary: Jill has a job offer. She is offered either $50 per day or $30 per day plus a commission of $3 for every plant she sells. How many plants does she need to sell to make the commission offer the best paying option?

• 50 < 30 + 3x
• 50 ≤ 30 + 3x
• 50 > 30 + 3x
• 50 ≥ 30 + 3x

Sid is $300 in debt. He needs to get the debt down to no more than $100 within the next 8 months. If he pays the same amount each month, what is the minimum he must pay off each month to manage this?

• 100 - 8x < 300
• 100 + 8x = 300
• 300 - 8x ≤ 100
• 300 - 8x < 100

Alyssa sold half of her comic books and then bought 9 more. She now has 17. How many did she begin with?

• x + 9 = 17
• 2x + 9 = 17
• x - ½x - 9 = 17
• x - ½x + 9 = 17