Understanding Inequalities: Solve & Interpret Graphs

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 attends more than 10 classes in a month. What is the solution set for C?

• C > 100

• C = 80

• C > 80

• C < 80

2. Sarah is saving money to buy a new bike that costs $200. If she saves $15 each week, write an inequality to show how many weeks (w) it will take her to save enough money. Identify the solution set for w.

• w <= 13

• w >= 14

• w < 14

• w > 14

3. A school is planning a field trip and can take a maximum of 50 students. If 20 students have already signed up, write an inequality to represent the number of additional students (x) that can sign up. What is the solution set for x?

• x < 30

• x ≤ 20

• x ≥ 50

• x ≤ 30

4. A store is having a sale where items are discounted by at least 20%. If the original price of an item is $50, write an inequality to represent the sale price (P). What is the solution set for P?

• P < 20

• P >= 30

• P > 40

• P <= 40

5. A farmer has a field that can hold a maximum of 200 plants. If he has already planted 120, write an inequality to represent the number of additional plants (p) he can plant. What is the solution set for p?

• p = 120

• p ≤ 80

• p < 80

• p ≥ 80

6. A concert venue has a seating capacity of 500. If 350 tickets have been sold, write an inequality to represent the number of tickets (t) that can still be sold. Identify the solution set for t.

• t >= 350

• t > 500

• t < 150

• t <= 150

8. A student needs to score at least 75% on a test to pass. If the test has 40 questions, write an inequality to represent the number of correct answers (x) needed to pass. What is the solution set for x?

• x < 30

• x <= 25

• x > 35

• x >= 30

9. A bakery can produce a maximum of 300 loaves of bread in a day. If they have already baked 150 loaves, write an inequality to represent the number of additional loaves (l) they can bake. What is the solution set for l?

• l < 150

• l ≥ 150

• l = 150

• l ≤ 150

10. A charity event aims to raise at least $1,000. If they have already raised $600, write an inequality to represent the amount (a) they still need to raise. Identify the solution set for a.

• a < 400

• a = 600

• a > 500

• a >= 400