MathsFreePrintable

Quadratic Equations Adventure

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Quadratic Equations Worksheet

🎯 Quadratic Equations Adventure! 📝

1. The Mystery Quadratic 🔍

A quadratic equation has solutions x = 3 and x = -2. Write two possible quadratic equations that would have these solutions:

2. Choose Your Method! 🎯

For each equation, circle which method would be best to solve it:

a) x² + 7x + 12 = 0

Factoring Completing the Square Quadratic Formula

b) x² + 5x + 7 = 0

Factoring Completing the Square Quadratic Formula

🌟 Remember the Quadratic Formula! 🌟

x = [-b ± √(b² - 4ac)] ÷ 2a

3. Firefighter Challenge! 🚒

A firefighter launches a water jet that follows the path: h = -5t² + 20t + 3

where h is height in meters and t is time in seconds.

a) When will the water hit the ground? Show your work:

b) What is the maximum height reached by the water?

4. Your Turn to Create! 🎨

Write your own real-world problem that could be solved using a quadratic equation:

About This Worksheet

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