Quadratic Equations and Functions MCQ Test: Quadratic Equations and Functions MCQs - Practice Questions
1. What is the sum of the roots of the quadratic equation 4x^2 - 7x + 3 = 0?
2. If the discriminant of a quadratic equation is negative, how many real roots does it have?
3. Solve the quadratic equation x^2 - 6x + 9 = 0.
4. Simplify the expression (x - 2)(x + 2) for a quadratic equation.
5. Express the quadratic function g(x) = -2x^2 - 8x - 6 in vertex form.
6. If a quadratic equation has two distinct real roots, what can you conclude about its discriminant?
7. If the graph of a quadratic function is a parabola opening downward, what can you infer about the coefficient of the squared term?
8. For the quadratic function p(x) = -2(x - 4)(x + 1), what are the roots?
9. What is the range of the quadratic function k(x) = 2x^2 + 4?
10. What is the axis of symmetry for the quadratic function k(x) = 3x^2 - 12x + 5?
11. If a quadratic equation has one real root, what can you infer about its discriminant?
12. If a quadratic function opens downward, what can you infer about the coefficient of the squared term?
13. Express the quadratic function f(x) = 2x^2 - 8x + 8 in standard form.
14. Find the vertex of the quadratic function: f(x) = x^2 - 4x + 5.
15. What is the y-intercept of the quadratic function g(x) = -3x^2 + 6x - 2?
16. Solve the quadratic equation 2x^2 + 3x - 5 = 0.
17. Solve the quadratic equation: 2x^2 - 5x + 3 = 0.
18. What is the solution to the quadratic inequality 3x^2 - 2x - 5 < 0?
19. Factorize the expression x^2 - 6x + 9.
20. If a quadratic equation has two complex roots, what can you infer about its discriminant?
21. Which of the following is the factorized form of the quadratic expression x^2 - 4?
22. What is the y-intercept of the quadratic function g(x) = 2x^2 - 4x + 1?
23. Which statement accurately describes the discriminant of a quadratic equation?
24. For the quadratic function h(x) = -x^2 + 4x - 2, what is the maximum or minimum value?
25. What is the discriminant of the quadratic equation 3x^2 - 6x + 2 = 0?
26. Evaluate the expression h(5) for the quadratic function h(x) = x^2 + 2x - 8.
27. If a quadratic equation has no real roots, what can you infer about its discriminant?
28. Which statement accurately describes the roots of a quadratic equation with a positive discriminant?
29. Given the quadratic function f(x) = x^2 - 4x + 4, what is the vertex of the parabola?
30. Evaluate the expression f(3) for the quadratic function f(x) = -x^2 + 2x + 5.