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Quadratic Equations Sample Questions

Question 1: Solve: 

 

Answer: 

Explanation: Write the equation in standard form, then factorize .

 

Question 2: Solve: 

 

Answer: 

Explanation: Divide the equation into both sides by a common factor 

 

Question 3: Solve for

 

Answer: 

Explanation: Write the equation in standard form, then factorize.

 

Question 4: Solve for

 

Answer: 

Explanation: Rewrite the term on the right side after dividing.

 

Question 5: Solve: 

 

Answer: 

Explanation: Subtract both sides by 

 

Question 6: Solve: 

 

Answer: 

Explanation: Rewrite the equation in standard form.

 

Question 7: Solve: 

 

Answer: 

Explanation: Rewrite the equation using .

 

Question 8: Solve: 

 

Answer: 

Explanation: Multiply both sides by 

 

Question 9: Solve: 

 

Answer: 

Explanation: Multiply both sides by .

 

Question 10: Solve: 

 

Answer: 

Explanation: Rewrite the equation in standard form.

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