Inequality Adventures: Budgeting and Combining Terms

1. Sarah has $50 to spend on school supplies. She wants to buy notebooks that cost $5 each and pens that cost $2 each. If she buys x notebooks and y pens, write an inequality to represent her budget. How many notebooks can she buy if she wants to buy at least 5 pens?

• 8

• 6

• 10

• 4

2. A movie theater charges $10 for adult tickets and $7 for child tickets. If a family wants to spend no more than $50 on tickets, write an inequality to represent the number of adult (x) and child (y) tickets they can buy. How many adult tickets can they buy if they purchase 3 child tickets?

• 1

• 2

• 4

• 3

3. A gardener has 30 feet of fencing to create a rectangular garden. If the length of the garden is represented by x and the width by y, write an inequality for the perimeter. If the width is at least 5 feet, what is the maximum length the garden can be?

• 10 feet

• 15 feet

• 5 feet

• 20 feet

4. A school is planning a field trip and has a budget of $200. Each student ticket costs $15 and each adult ticket costs $25. Write an inequality to represent the number of student (x) and adult (y) tickets they can purchase. If they buy 4 adult tickets, how many student tickets can they buy?

• 6

• 7

• 8

• 5

5. A bookstore is having a sale where each book costs $8. If a customer wants to buy at least 6 books but spend no more than $60, write an inequality to represent this situation. How many books can they buy if they want to buy exactly 6?

• 5 books

• 7 books

• 6 books

• 8 books

6. A pet store sells fish for $3 each and fish tanks for $20 each. If a customer has $100 to spend, write an inequality to represent the number of fish (x) and tanks (y) they can buy. If they buy 2 tanks, how many fish can they buy?

• 25

• 20

• 10

• 15

7. A local charity is collecting donations. They want to collect at least $500. If each donation is $25, write an inequality to represent the number of donations (x) needed. How many donations are needed if they have already received 10 donations?

• 15

• 20

• 10

• 5

8. A pizza shop sells large pizzas for $12 and drinks for $2. If a customer wants to spend no more than $40, write an inequality to represent the number of pizzas (x) and drinks (y) they can buy. If they buy 5 drinks, how many pizzas can they buy?

• 1

• 4

• 2

• 3

9. A concert venue has a seating capacity of 500. If each ticket costs $20 and they want to make at least $8000, write an inequality to represent the number of tickets (x) they need to sell. How many tickets must they sell if they have already sold 200 tickets?

• 400

• 300

• 150

• 200

10. A clothing store is having a sale where each shirt costs $15 and each pair of pants costs $25. If a customer wants to spend no more than $100, write an inequality to represent the number of shirts (x) and pants (y) they can buy. If they buy 2 pairs of pants, how many shirts can they buy?

• 4

• 3

• 1

• 5