Park Inequalities Worksheet

Name:

Date:

🌳 Part 1: Understanding Park Inequalities

I can: Write and solve inequalities that model spatial relationships in community parks.

1. A park bench must be at least 8 feet away from any tree for safety. If a bench is 12 feet from a tree, does this meet the safety rule?

Yes, because 12 ≥ 8

No, because 12 < 8

Cannot determine

2. The walking trail width must be less than 15 feet to preserve grass areas. Which inequality represents this constraint?

w > 15

w < 15

w ≥ 15

w ≤ 15

3. Trees in the park must be more than 6 feet tall to provide adequate shade. If t represents tree height, write the inequality:

Tree height inequality: t _____________ 6 feet

4. Check all values that satisfy the inequality d ≥ 10 (distance between picnic tables):

8 feet

10 feet

12 feet

9.5 feet

📏 Part 2: Real-World Park Problems

5. The park measured these bench distances: 7 ft, 11 ft, 9 ft, 13 ft. If benches must be at least 8 feet apart for wheelchair access, which measurements meet this requirement?

6. A new playground needs trees that are at least 15 feet tall for proper shade. Write an inequality and determine if a 14.5-foot tree qualifies.

Inequality: ________________

Does the 14.5-foot tree qualify? ________________

Explain your reasoning: ________________________________________________

7. The park wants picnic areas where the distance between tables is more than 6 feet but less than 12 feet for optimal spacing. Write a compound inequality to represent this constraint.

8. Extension Challenge: If a walking path can be at most 50 feet long and must have benches placed every 8-12 feet, what is the maximum number of benches that can be placed? Show your work.

🎯 Part 3: Reflection & Application

9. Explain how inequalities help maintain safe spaces in our community park. Use mathematical vocabulary in your response.

10. Create your own park safety rule using an inequality. Include the real-world situation and the mathematical representation.

Real-world situation: ________________________________________________

Mathematical inequality: ________________________________________________

Explain why this rule is important: ________________________________________________

Park Inequalities Worksheet

Park Inequalities Worksheet

🌳 Part 1: Understanding Park Inequalities

📏 Part 2: Real-World Park Problems

🎯 Part 3: Reflection & Application

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

More Mathematics Worksheets

Year 9 Financial Mathematics

Year 9 Financial Mathematics

Mathematics and Statistics Practice

Explore more free resources