Grade 10 Mathematics Quiz: Quadratic Equations

Please read each question carefully and select the best answer from the options provided. Only one answer is correct for each question.

What is the standard form of a quadratic equation?
- A. ( ax + by = c )
- B. ( ax^2 + bx + c = 0 )
- C. ( x^2 + y^2 = r^2 )
- D. ( y = mx + b )
Which of the following is a method to solve a quadratic equation?
- A. Graphing
- B. Substitution
- C. Simple Addition
- D. Division
The roots of the quadratic equation ( x^2 - 5x + 6 = 0 ) are:
- A. 2 and 3
- B. 1 and 6
- C. -2 and -3
- D. 0 and 5
What is the discriminant in the quadratic formula ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} )?
- A. ( b^2 - 4ac )
- B. ( a^2 + b^2 + c^2 )
- C. ( 4ac - b^2 )
- D. ( \sqrt{a + b + c} )
What type of roots does the quadratic equation will have if the discriminant is equal to zero?
- A. Two distinct real roots
- B. Complex roots
- C. Exactly one real root
- D. No real roots