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This worksheet is focused on solving quadratic equations using the quadratic formula. Based on the image, students are required to solve the equations and match the solutions with the corresponding letters provided in the "Code Key" section. The quadratic formula for solving equations of the form \( ax^2 + bx + c = 0 \) is:

\[
x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
\]

### Steps to Solve Each Quadratic Equation:
1. Identify the coefficients \(a\), \(b\), and \(c\) from each quadratic equation.
2. Substitute them into the quadratic formula to calculate the solutions (roots).
3. Compare the solutions to the corresponding values in the "Code Key."
4. Use the letter associated with the solution from the "Code Key" to fill in the boxes below the equation number.

Would you like help solving a specific quadratic equation from this worksheet?

Here are some related questions to help you:
1. What is the quadratic formula used for?
2. How do you determine the discriminant from a quadratic equation?
3. Can all quadratic equations be solved using the quadratic formula?
4. What are the steps to simplify the expression under the square root?
5. How do you handle complex solutions when the discriminant is negative?

Tip: When solving quadratic equations, always check the discriminant \( b^2 - 4ac \) to know if the roots are real or complex!

Solve quadratic equations using the quadratic formula and match the solutions with the provided code key to decode a riddle: 'What is the difference between a Train conductor and a Math teacher?'

This Grade 9 math worksheet focuses on solving quadratic equations using the quadratic formula and matching the answers with a code key. Decode the difference between a train conductor and a math teacher by solving each equation. Ideal for practicing algebraic problem-solving skills.

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