Exploring Inequalities: Real-Life Applications for 7th Graders

1. Sarah has at least 50 stickers. If she buys x more stickers, write an inequality to represent the total number of stickers she will have. What is the minimum value of x?

• 0

• 25

• 100

• -10

2. A school is planning a field trip and needs at least 120 students to sign up. If y students have already signed up, write an inequality to show how many more students need to sign up. What does this mean in context?

• y + 120 < 120

• 120 - y = 0

• y - 120 < 0

• 120 - y > 0

3. Tom is saving money to buy a video game that costs $60. If he currently has z dollars, write an inequality to represent how much more he needs to save. What does the solution tell you about his savings?

• x > 60 + z

• x = 60 - z

• x ≤ 60 - z

• x < 60 - z

4. A recipe requires at least 3 cups of flour. If you have f cups of flour, write an inequality to express how much more flour you need. How can you interpret the solution in a real-world context?

• 3 + f < 0

• f = 3

• f > 3

• 3 - f > 0 or f < 3

5. A concert hall can hold a maximum of 500 people. If p people have already bought tickets, write an inequality to show how many more tickets can be sold. What does this mean for the concert?

• p > 500

• 500 - p < 0

• p = 500

• 500 - p > 0 or p < 500

6. Lisa wants to run at least 15 miles this week. If she has already run r miles, write an inequality to represent how many more miles she needs to run. What does the solution indicate about her running goals?

• x <= 15 - r

• x = 15 + r

• x >= 15 - r

• x < 15 - r

7. A farmer has at least 200 apples to sell. If he sells a apples, write an inequality to show how many apples he has left. How can you interpret the solution in the context of his business?

• 200 + a <= 200

• a >= 200

• 200 - a < 0

• 200 - a >= 0 or a <= 200

8. A gym requires at least 10 members to start a new class. If m members have signed up, write an inequality to represent how many more members are needed. What does this mean for the class schedule?

• 10 - m > 0

• m < 10

• 10 + m < 10

• m - 10 < 0

9. A book club needs at least 5 members to hold a meeting. If n members are currently signed up, write an inequality to show how many more members are needed. How does this affect the meeting plans?

• x < 5 - n

• x >= 5 - n

• x = 5 + n

• x <= 5 - n

10. A charity event aims to raise at least $1,000. If they have raised r dollars so far, write an inequality to represent how much more they need to raise. What does the solution tell you about their fundraising efforts?

• r + 1000 < 0

• 1000 - r = 0

• 1000 - r > 0

• r - 1000 < 0