Writing and Graphing Linear Inequalities Quiz

1. A local gym charges a monthly fee of $30 plus $5 for each class attended. Write an inequality to represent the total cost (C) if a member wants to spend no more than $100 on classes in a month.

• 30 + 5x ≤ 100

• 30 + 5x ≥ 100

• 30 + 5x < 100

• 30 + 5x = 100

Tags

CCSS.7.EE.B.4B

2. If a student can study for a maximum of 15 hours a week, write an inequality to represent the number of hours (h) spent studying for math and science combined, if they want to allocate at least 5 hours to math.

• h = 10

• 5 <= h <= 15

• h > 15

• h < 5

3. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an inequality to express the total cost (C) if a customer wants to keep their expenses under $100.

• 50 + 0.20m < 100

• 50 + 0.20m > 100

• 50 + 0.20m = 100

• 50 + 0.20m ≤ 100

Tags

CCSS.7.EE.B.4B

4. A factory produces x units of a product, and the cost to produce each unit is $10. If the factory wants to keep production costs under $500, write an inequality to represent this situation.

• 10x >= 500

• 10x < 500

• 10x <= 500

• x <= 50

Tags

CCSS.6.EE.B.8

5. A school is planning a field trip and has a budget of $300. If the cost per student is $15, write an inequality to determine the maximum number of students (s) that can attend the trip.

• 20s <= 300

• 15s <= 300

• 10s + 5 <= 300

• 15s < 300

Tags

CCSS.6.EE.B.8

6. A bookstore sells novels for $12 each and textbooks for $25 each. If a customer wants to spend no more than $100, write an inequality to represent the number of novels (n) and textbooks (t) they can buy.

• 15n + 30t ≤ 100

• 10n + 20t ≤ 100

• 12n + 25t ≤ 100

• 5n + 15t ≤ 100

7. A gardener has a budget of $200 to spend on plants. If each flower costs $8 and each shrub costs $20, write an inequality to represent the total number of flowers (f) and shrubs (s) that can be purchased.

• 5f + 15s ≤ 200

• 8f + 15s ≤ 200

• 10f + 25s ≤ 200

• 8f + 20s ≤ 200

8. A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write an inequality to represent the total revenue (R) if the venue wants to earn at least $8000 from ticket sales.

• 20x ≥ 8000, 0 ≤ x ≤ 500

• 20x ≤ 8000, 0 ≤ x ≤ 500

• 10x ≥ 8000, 0 ≤ x ≤ 500

• 20x < 8000, 0 ≤ x ≤ 500

9. A student has a part-time job that pays $12 per hour. If they want to save at least $200 for a new laptop, write an inequality to represent the number of hours (h) they need to work.

• h < 16.67

• 12h >= 200

• 12h <= 200

• h > 20

Tags

CCSS.6.EE.B.8

10. A restaurant offers a special deal where a meal costs $15 and a drink costs $5. If a family wants to spend no more than $60, write an inequality to represent the number of meals (m) and drinks (d) they can order.

• 20m + 5d ≤ 60

• 15m + 5d ≤ 60

• 15m + 10d ≤ 60

• 10m + 5d ≤ 60