Algebra and Quadratic Equations - One Line Questions

1. If x^2 - 5x + 6 = 0, what is the value of x(x-5)? — -6
2. What is the product of the roots of the quadratic equation ax^2 + bx + c = 0? — c/a
3. What is the smallest integer value of x for which x^2 - 5x + 6 < 0? — 1
4. What is the smallest root of the equation x^2 - 4x + 3 = 0? — 1
5. If x^3 - 1 = 0, what is the real value of x? — 1
6. If x^2 + 2x + 1 = 0, what is the value of x? — -1
7. If x^2 = 100, what is the value of x? — 10, -10
8. Find the sum of the roots of the equation x^2 - 11x + 30 = 0. — 11
9. If x + 1/x = 5, what is the value of x^3 + 1/x^3? — 130
10. What is the sum of squares of the roots of x^2 - 5x + 6 = 0? — 13
11. What is the value of x^2 - y^2 if x + y = 10 and x - y = 4? — 40
12. If x + 1/x = 4, what is the value of x^2 + 1/x^2? — 18
13. If x = 5, what is the value of x^2 - 2x + 1? — 24
14. If x - 1/x = 3, what is the value of x^3 - 1/x^3? — 36
15. If x^3 = 8, what is the real value of x? — 2
16. If x + 1/x = 2, what is the value of x^n + 1/x^n for any positive integer n? — 2
17. If x^2 - 4 = 0, what is the value of x^2? — 4
18. If x + y = 11 and x^2 + y^2 = 61, find the value of xy. — 20
19. If x - 1/x = 5, then what is the value of x^2 + 1/x^2? — 27
20. If x + y = 7 and xy = 12, find the value of x^2 + y^2. — 25
21. If x^2 - 9 = 0, what are the values of x? — 3, -3
22. If x^3 = 27, what is the value of x? — 3
23. If x^2 + 1/x^2 = 11, what is the value of x + 1/x (assuming x is positive)? — 3
24. If x = 2 is a root of the quadratic equation x^2 - kx + 8 = 0, find the value of k. — 5
25. If x^2 + 1/x^2 = 18, and x is positive, find the value of x + 1/x. — 5
26. What is the value of x if x^2 = 16? — 4, -4
27. If x^3 = 64, what is the real value of x? — 4
28. If x^2 - 8x + 16 = 0, what is the value of x? — 4
29. If x^2 + 1/x^2 = 22, and x is positive, find the value of x + 1/x. — 6
30. If x + 1/x = 3, then what is the value of x^2 + 1/x^2? — 7
31. If x^2 + 1/x^2 = 47, find the value of x - 1/x (assuming x > 1). — 5
32. If x^2 - 10x + 25 = 0, what is the value of x? — 5
33. If x^2 + y^2 = 25 and x + y = 7, find the value of xy. — 6
34. If x^2 - 36 = 0, what are the values of x? — 6, -6
35. If x^2 = 49, what is the value of x? — 7, -7
36. If x = 3, what is the value of x^3 - 3x^2 + 3x - 1? — 8
37. Find the product of the roots of x^2 + 8x + 15 = 0. — 15
38. What is the discriminant of the quadratic equation ax^2 + bx + c = 0? — b^2 - 4ac
39. What is the sum of the roots of the quadratic equation ax^2 + bx + c = 0? — -b/a
40. For the quadratic equation 2x^2 - 7x + 3 = 0, find the nature of the roots. — Real and distinct
41. What is the nature of the roots of the quadratic equation x^2 + x + 1 = 0? — Complex conjugates
42. Solve the quadratic equation: x^2 - 5x + 6 = 0 — x = 2, x = 3
43. Solve for x: 3x^2 - 10x + 7 = 0 — x = 1, x = 7/3
44. Solve for x: 2x^2 + 5x - 3 = 0 — x = 1/2, x = -3
45. What are the roots of the quadratic equation 3x^2 + 5x - 2 = 0? — x = 1/3, x = -2
46. Find the roots of the quadratic equation x^2 + 4x + 4 = 0. — x = -2
47. Solve the equation: (x - 2)(x + 3) = 0 — x = 2, x = -3
48. Find the roots of the quadratic equation x^2 - 7x + 10 = 0. — x = 2, x = 5
49. Solve for x: x^2 - 6x + 9 = 0 — x = 3
50. If a quadratic equation has roots 3 and -5, what is the equation? — x^2 + 2x - 15 = 0
All One Line Questions
E-Book Algebra and Quadratic Equations Online Test Algebra and Quadratic Equations Question Bank Algebra and Quadratic Equations