Creating and Solving Inequalities: Word Problems Quiz

1. A store sells pencils in packs. Each pack contains 5 pencils. If you want to buy at least 20 pencils, how many packs do you need to buy? Create an inequality to represent this situation.

• 5

• 4

• 2

• 3

2. A class has 30 students. The teacher wants to divide them into groups of no more than 6 students each. Write an inequality to show how many groups can be formed.

• g <= 5

• g < 5

• g >= 6

• g <= 4

3. Sarah has $50 to spend on books. If each book costs $8, how many books can she buy? Write an inequality to represent this situation and solve it.

• 5

• 7

• 8

• 6

4. A farmer has 100 apples and wants to pack them into boxes. Each box can hold at most 12 apples. Write an inequality to find out how many boxes he needs.

• 9

• 11

• 10

• 8

5. A movie theater has 200 seats. If they want to sell tickets for at least 150 seats, how many tickets can they sell? Create an inequality to represent this situation.

• 150 < x < 250

• x < 150

• 150 <= x <= 200

• x > 200

6. A school is planning a field trip and needs at least 15 chaperones. If each chaperone can supervise 5 students, write an inequality to find out how many students can attend the trip.

• s < 50

• s <= 75

• s >= 100

• s = 60

7. A baker makes cookies and wants to bake at least 48 cookies. If each tray holds 12 cookies, how many trays does he need? Create an inequality to represent this.

• t <= 5

• t >= 4

• t < 4

• t = 3

8. A gym has a maximum capacity of 50 members. If there are currently 30 members, how many more can join? Write an inequality to show this situation.

• 10

• 25

• 20

• 15

9. A library has 200 books. If they want to display at least 75% of them, how many books do they need to display? Create an inequality to represent this situation.

• 200

• 100

• 175

• 150

10. A concert hall has 300 seats. If they want to sell tickets for at least 250 seats, how many tickets can they sell? Write an inequality to represent this situation and solve it.

• They can sell between 250 and 300 tickets.

• They can sell only 200 tickets.

• They can sell more than 300 tickets.

• They can sell up to 250 tickets only.