1) What is the standard form of a quadratic equation? a) ax + b = 0 b) ax² + bx + c = 0 c) ax³ + bx + c = 0 d) a(x + b) = c 2) In the quadratic equation ax² + bx + c = 0, what does the discriminant represent? a) The average of the roots b) The sum of the coefficients c) The nature of the roots d) The slope of the line 3) If the discriminant is positive, what does it tell about the roots? a) One real root b) Two equal real roots c) Two distinct real roots d) No real roots 4) If the discriminant is zero, then the quadratic equation has: a) Two distinct real roots b) Two equal real roots c) Complex roots d) No solution 5) If the discriminant is negative, then the roots are: a) Equal and real b) Distinct and real c) Imaginary or complex d) Undefined 6) The sum of the roots of ax² + bx + c = 0 is given by: a) b/a b) - a/b c) c/a d) - c/a 7) The product of the roots of ax² + bx + c = 0 is: a) c/a b) - c/a c) b/a d) - b/a 8) The quadratic function y = ax² + bx + c opens upward when: a) a=0 b) a>0 c) a<0 d) b>0 9) The quadratic function y = ax² + bx + c opens downward when: a) a>0 b) a=0 c) a<0 d) b<0 10) The vertex form of a quadratic function is: a) y = ax² + bx + c b) y = a(x − h)² + k c) y = ax + b d) y = a(x + b)² + c 11) The axis of symmetry of the parabola y = ax² + bx + c is given by: a) x = -b / 2a b) y = -b / 2a c) x = b / 2a d) y = b / 2a 12) Which of the following represents the set notation for the interval (−3,5]? a) {x ∣ −3 < x ≤ 5} b) {x ∣ −3 ≤ x < 5} c) {x ∣ −3 ≤ x ≤ 5} d) {x ∣ −3 < x < 5} 13) Which of the following is the interval notation for {x ∣ x ≥ −2}? a) (−2,∞) b) [−2,∞) c) (−∞,−2) d) (−∞,−2] 14) Which inequality symbol represents the solution set that includes the boundary? a) < b) > c) ≥ d) None of the above 15) The discriminant of ax2 + bx + c = 0 is given by: a) b² + 4ac b) b² − 4ac c) -b² − 4ac d) a² − 4bc

Q1_INTERACTIVE MATH GRADE 9

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