Quadratic Equations
Math ⇒ Algebra
Quadratic Equations starts at 8 and continues till grade 12.
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See sample questions for grade 11
A ball is thrown upwards and its height h (in meters) after t seconds is given by h = -5t² + 20t + 2. What is the maximum height reached by the ball?
Find the discriminant of the equation 2x² + 3x - 2 = 0.
Given the equation 4x² - 4x + 1 = 0, find its roots.
Given the equation x² - 6x + 9 = 0, what is the nature of its roots?
If one root of the equation x² + px + 12 = 0 is 3, what is the value of p?
If the quadratic equation 2x² + kx + 8 = 0 has equal roots, what is the value of k?
If the roots of a quadratic equation are 4 and -2, write the equation in standard form.
A ball is thrown upwards and its height h (in meters) after t seconds is given by h = -5t² + 20t + 2. What is the maximum height reached by the ball?
Which of the following is a quadratic equation? (1) x² + 2x + 1 = 0 (2) 2x + 3 = 0 (3) x³ - x = 0 (4) 5x - 7 = 0
Which of the following is NOT a method to solve quadratic equations? (1) Graphing (2) Synthetic division (3) Completing the square (4) Factoring
Which of the following is the quadratic formula? (1) x = (-b ± √(b² - 4ac))/(2a) (2) x = (-b ± √(b² + 4ac))/(2a) (3) x = (b ± √(b² - 4ac))/(2a) (4) x = (-b ± √(b² - 4ac))/a
Which of the following methods can be used to solve a quadratic equation? (1) Factoring (2) Completing the square (3) Quadratic formula (4) All of the above
Fill in the blank: The axis of symmetry of the parabola y = ax² + bx + c is x = ________.
Fill in the blank: The product of the roots of the equation ax² + bx + c = 0 is ________.
Fill in the blank: The quadratic equation x² + 4x + 4 = 0 can be written as (x + ________)² = 0.
If the discriminant (b² - 4ac) of a quadratic equation is negative, the equation has ________ roots.
True or False: The coefficient 'a' in ax² + bx + c = 0 must not be zero.
True or False: The graph of every quadratic equation is a parabola.
True or False: The quadratic formula can be used to solve any quadratic equation.
True or False: The roots of the equation x² + 1 = 0 are real.
