Simplification, Approximation, Quadratic Equations - Question Bank

1. What is the approximate value of (70.01% of 1200) / (2.99 * 1.99)?
A) 140
B) 150
C) 160
D) 170
2. If 2k² + 7k + 3 = 0, find the values of k.
A) k = -1/2, k = -3
B) k = 1/2, k = 3
C) k = -1/2, k = 3
D) k = 1/2, k = -3
3. Calculate the approximate value of 30.01% of 700.02 + 20.02% of 500.01.
A) 310
B) 320
C) 330
D) 340
4. Find the approximate value of √16900 + √10000 - √12100.
A) 80
B) 90
C) 100
D) 110
5. What is the approximate value of (45.02% of 600) / (1.99 * 2.99)?
A) 45
B) 50
C) 55
D) 60
6. Solve for y: y² - 10y + 25 = 0
A) y = 5
B) y = -5
C) y = 5, y = -5
D) y = 0
7. Estimate the value of 50.01% of 400 + 75.02% of 200.
A) 350
B) 360
C) 370
D) 380
8. If 4x² + 11x + 6 = 0, find the values of x.
A) x = -2, x = -3/4
B) x = 2, x = 3/4
C) x = -2, x = 3/4
D) x = 2, x = -3/4
9. What is the approximate value of 65.01% of 1000.02 - 30.02% of 600.01?
A) 450
B) 470
C) 490
D) 510
10. Find the approximate value of √10000 + √256 - √144.
A) 90
B) 100
C) 110
D) 120
11. Solve for x: x² - 9x + 20 = 0
A) x = 4, x = 5
B) x = -4, x = -5
C) x = 4, x = -5
D) x = -4, x = 5
12. What is the approximate value of (29.99% of 800) / (4.01 * 1.99)?
A) 25
B) 30
C) 35
D) 40
13. If 5p² - 11p + 6 = 0, find the values of p.
A) p = 1, p = 6/5
B) p = -1, p = -6/5
C) p = 1, p = -6/5
D) p = -1, p = 6/5
14. Calculate the approximate value of 40.01% of 600.02 + 15.01% of 400.01.
A) 300
B) 310
C) 320
D) 330
15. Find the approximate value of √2500 + √6400 - √8100.
A) 10
B) 20
C) 30
D) 40
16. What is the approximate value of (66.05% of 900) / (3.01 * 2.99)?
A) 60
B) 66
C) 70
D) 75
17. Solve for m: m² + 12m + 36 = 0
A) m = -6
B) m = 6
C) m = -6, m = 6
D) m = 0
18. Estimate the value of 20.01% of 900 - 10.02% of 500.
A) 120
B) 130
C) 140
D) 150
19. If 2y² - 9y + 10 = 0, find the values of y.
A) y = 2, y = 5/2
B) y = -2, y = -5/2
C) y = 2, y = -5/2
D) y = -2, y = 5/2
20. What is the approximate value of 50.01% of 1200.02 + 25.02% of 800.01?
A) 600
B) 700
C) 800
D) 900
21. Find the approximate value of √8100 + √16900 - √4900.
A) 90
B) 100
C) 110
D) 120
22. Solve for x: x² - 15x + 56 = 0
A) x = 7, x = 8
B) x = -7, x = -8
C) x = 7, x = -8
D) x = -7, x = 8
23. What is the approximate value of (40.02% of 900) / (6.01 * 2.99)?
A) 15
B) 20
C) 25
D) 30
24. If 3x² + 7x + 4 = 0, find the values of x.
A) x = -1, x = -4/3
B) x = 1, x = 4/3
C) x = -1, x = 4/3
D) x = 1, x = -4/3
25. Calculate the approximate value of 24.98% of 400.05 + 60.01% of 500.01.
A) 400
B) 410
C) 420
D) 430
26. Find the approximate value of √1225 + √3025 - √1600.
A) 40
B) 45
C) 50
D) 55
27. What is the approximate value of (89.95% of 600) / (14.99% of 200)?
A) 15
B) 18
C) 20
D) 24
28. Solve for b: b² - 14b + 49 = 0
A) b = 7
B) b = -7
C) b = 7, b = -7
D) b = 0
29. Estimate the value of 100.12 * 4.98 + 75.05 * 2.01.
A) 650
B) 660
C) 670
D) 680
30. Given the equation 4a² - 13a + 9 = 0, find the values of a.
A) a = 1, a = 9/4
B) a = -1, a = -9/4
C) a = 1, a = -9/4
D) a = -1, a = 9/4
31. What is the approximate value of 35.05% of 800.01 - 15.02% of 400.02?
A) 100
B) 110
C) 120
D) 130
32. Find the approximate value of √4900 + √10000 - √2500.
A) 120
B) 130
C) 140
D) 150
33. Solve for n: 2n² + 11n + 12 = 0
A) n = -3/2, n = -4
B) n = 3/2, n = 4
C) n = -3/2, n = 4
D) n = 3/2, n = -4
34. What is the approximate value of (14.98% of 1200) / (2.01 * 5.99)?
A) 15
B) 18
C) 20
D) 22
35. If 6x² - 17x + 12 = 0, find the values of x.
A) x = 3/2, x = 4/3
B) x = -3/2, x = -4/3
C) x = 3/2, x = -4/3
D) x = -3/2, x = 4/3
36. Calculate the approximate value of 75.01% of 800.02 + 19.98% of 500.01.
A) 600
B) 650
C) 700
D) 750
37. What is the approximate value of √2025 * √100 - √961?
A) 419
B) 429
C) 439
D) 449
38. Solve for k: k² + 8k + 15 = 0
A) k = -3, k = -5
B) k = 3, k = 5
C) k = -3, k = 5
D) k = 3, k = -5
39. Estimate the value of 99.99% of 800 + 49.95% of 600.
A) 1000
B) 1100
C) 1150
D) 1200
40. Given the equation 5p² - 19p + 12 = 0, find the values of p.
A) p = 3, p = 4/5
B) p = -3, p = -4/5
C) p = 3, p = -4/5
D) p = -3, p = 4/5
41. What is the approximate value of 44.9% of 600.12 - 25.05% of 399.98?
A) 160
B) 170
C) 180
D) 190
42. Find the approximate value of √1444 + √676 - √1681.
A) 33
B) 35
C) 37
D) 39
43. Solve the quadratic equation 3m² - 10m + 8 = 0.
A) m = 2, m = 4/3
B) m = -2, m = -4/3
C) m = 2, m = -4/3
D) m = -2, m = 4/3
44. What is the approximate value of (59.9% of 799.9) / (19.9% of 200.1)?
A) 10
B) 12
C) 15
D) 18
45. If 2x² + 5x + 3 = 0, find the values of x.
A) x = -1, x = -3/2
B) x = 1, x = 3/2
C) x = -1, x = 3/2
D) x = 1, x = -3/2
46. Calculate the approximate value of 19.98% of 500.05 + 33.01% of 200.01.
A) 160
B) 166
C) 170
D) 176
47. In the quadratic equation y² - 7y + 12 = 0, what are the values of y?
A) y = 3, y = 4
B) y = -3, y = -4
C) y = 3, y = -4
D) y = -3, y = 4
48. What is the approximate value of 667 / 13.05 * 2.99?
A) 150
B) 155
C) 160
D) 165
49. Find the value of √729 + √1728 - √2197.
A) 15
B) 20
C) 25
D) 30
50. Solve for x: x² - 11x + 30 = 0
A) x = 5, x = 6
B) x = -5, x = -6
C) x = 5, x = -6
D) x = -5, x = 6
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