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整式的化简求值题及答案40道(整式化简求值50道)

  • 2025-12-20 02:50:23

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以下是40道整式化简求值题及答案:

整式的化简求值题及答案40道(整式化简求值50道)

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1. 题目:\(2x^2 - 5x + 3\),\(x = 2\)

答案:\(2(2)^2 - 5(2) + 3 = 8 - 10 + 3 = 1\)

2. 题目:\(3a^2 + 2a - 5\),\(a = 1\)

答案:\(3(1)^2 + 2(1) - 5 = 3 + 2 - 5 = 0\)

3. 题目:\(4x^3 - 7x^2 + 5x - 2\),\(x = 1\)

答案:\(4(1)^3 - 7(1)^2 + 5(1) - 2 = 4 - 7 + 5 - 2 = 0\)

4. 题目:\(5y^2 - 6y + 2\),\(y = 2\)

答案:\(5(2)^2 - 6(2) + 2 = 20 - 12 + 2 = 10\)

5. 题目:\(3m^3 + 4m^2 - 2m + 1\),\(m = -1\)

答案:\(3(-1)^3 + 4(-1)^2 - 2(-1) + 1 = -3 + 4 + 2 + 1 = 4\)

6. 题目:\(2x^2 + 5x - 3\),\(x = -1\)

答案:\(2(-1)^2 + 5(-1) - 3 = 2 - 5 - 3 = -6\)

7. 题目:\(4y^3 - 2y^2 + 3y - 1\),\(y = 0\)

答案:\(4(0)^3 - 2(0)^2 + 3(0) - 1 = -1\)

8. 题目:\(5m^2 - 6m + 7\),\(m = 3\)

答案:\(5(3)^2 - 6(3) + 7 = 45 - 18 + 7 = 34\)

9. 题目:\(3x^3 + 2x^2 - 5x + 1\),\(x = -2\)

答案:\(3(-2)^3 + 2(-2)^2 - 5(-2) + 1 = -24 + 8 + 10 + 1 = -5\)

10. 题目:\(4y^2 - 7y + 2\),\(y = 1\)

答案:\(4(1)^2 - 7(1) + 2 = 4 - 7 + 2 = -1\)

11. 题目:\(2m^3 + 5m^2 - 4m + 1\),\(m = -1\)

答案:\(2(-1)^3 + 5(-1)^2 - 4(-1) + 1 = -2 + 5 + 4 + 1 = 8\)

12. 题目:\(3x^2 + 6x - 9\),\(x = 3\)

答案:\(3(3)^2 + 6(3) - 9 = 27 + 18 - 9 = 36\)

13. 题目:\(4y^3 - 3y^2 + 2y - 1\),\(y = 1\)

答案:\(4(1)^3 - 3(1)^2 + 2(1) - 1 = 4 - 3 + 2 - 1 = 2\)

14. 题目:\(5m^2 - 4m + 3\),\(m = 2\)

答案:\(5(2)^2 - 4(2) + 3 = 20 - 8 + 3 = 15\)

15. 题目:\(3x^3 + 7x^2 - 2x + 1\),\(x = -1\)

答案:\(3(-1)^3 + 7(-1)^2 - 2(-1) + 1 = -3 + 7 + 2 + 1 = 7\)

16. 题目:\(4y^2 - 5y + 6\),\(y = 2\)

答案:\(4(2)^2 - 5(2) + 6 = 16 - 10 + 6 = 12\)

17. 题目:\(2m^3 + 4m^2 - 3m + 1\),\(m = -1\)

答案:\(2(-1)^3 + 4(-1)^2 - 3(-1) + 1 = -2 + 4 + 3 + 1 = 6\)

18. 题目:\(3x^2 + 8x - 7\),\(x = 1\)

答案:\(3(1)^2 + 8(1) - 7 = 3 + 8 - 7 = 4\)

19. 题目:\(4y^3 - 2y^2 + y - 1\),\(y = 0\)

答案:\(4(0)^3 - 2(0)^2 + (0) - 1 = -1\)

20. 题目:\(2m^3 + 3m^2 - 5m + 2\),\(m = 1\)

答案:\(2(1)^3 + 3(1)^2 - 5(1) + 2 = 2 + 3 - 5 + 2 = 2\)

21. 题目:\(3x^3 - 6x^2 + 5x - 1\),\(x = 2\)

答案:\(3(2)^3 - 6(2)^2 + 5(2) - 1 = 24 - 24 + 10 - 1 = 9\)

22. 题目:\(4y^3 - 5y^2 + 2y - 3\),\(y = 1\)

答案:\(4(1)^3 - 5(1)^2 + 2(1) - 3 = 4 - 5 + 2 - 3 = -2\)

23. 题目:\(2m^3 + 4m^2 - 6m + 1\),\(m = -1\)

答案:\(2(-1)^3 + 4(-1)^2 - 6(-1) + 1 = -2 + 4 + 6 + 1 = 9\)

24. 题目:\(3x^2 + 9x - 4\),\(x = 1\)

答案:\(3(1)^2 + 9(1) - 4 = 3 + 9 - 4 = 8\)

25. 题目:\(4y^3 - 3y^2 + y - 2\),\(y = 0\)

答案:\(4(0)^3 - 3(0)^2 + (0) - 2 = -2\)

26. 题目:\(2m^3 + 5m^2 - 7m + 3\),\(m = 1\)

答案:\(2(1)^3 + 5(1)^2 - 7(1) + 3 = 2 + 5 - 7 + 3 = 3\)

27. 题目:\(3x^3 - 8x^2 + 4x - 1\),\(x = 2\)

答案:\(3(2)^3 - 8(2)^2 + 4(2) - 1 = 24 - 32 + 8 - 1 = -1\)

28. 题目:\(4y^3 - 2y^2 + 3y - 5\),\(y = 1\)

答案:\(4(1)^3 - 2(1)^2 + 3(1) - 5 = 4 - 2 + 3 - 5 = 0\)

29. 题目:\(2m^3 + 6m^2 - 9m + 2\),\(m = -1\)

答案:\(2(-1)^3 + 6(-1)^2 - 9(-1) + 2 = -2 + 6 + 9 + 2 = 15\)

30. 题目:\(3x^2 + 12x - 5\),\(x = 1\)

答案:\(3(1)^2 + 12(1) - 5 = 3 + 12 - 5 = 10\)

31. 题目:\(4y^3 - y^2 + 2y - 4\),\(y = 0\)

答案:\(4(0)^3 - (0)^2 + 2(0) - 4 = -4\)

32. 题目:\(2m^3 + 7m^2 - 10m + 3\),\(m = 1\)

答案:\(2(1)^3 + 7(1)^2 - 10(1) + 3 = 2 + 7 - 10 + 3 = 2\)

33. 题目:\(3x^3 - 11x^2 + 6x - 1\),\(x = 2\)

答案:\(3(2)^3 - 11(2)^2 + 6(2) - 1 = 24 - 44 + 12 - 1 = -9\)

34. 题目:\(4y^3 - 3y^2 + 4y - 7\),\(y = 1\)

答案:\(4(1)^3 - 3(1)^2 + 4(1) - 7 = 4 - 3 + 4 - 7 = -2\)

35. 题目:\(2m^3 + 8m^2 - 15m + 4\),\(m = -1\)

答案:\(2(-1)^3 + 8(-1)^2 - 15(-1) + 4 = -2 + 8 + 15 + 4 = 25\)

36. 题目:\(3x^2 + 16x - 7\),\(x = 1\)

答案:\(3(1)^2 + 16(1) - 7 = 3 + 16 - 7 = 12\)

37. 题目:\(4y^3 - 2y^2 + 5y - 8\),\(y = 0\)

答案:\(4(0)^3 - 2(0)^2 + 5(0) - 8 = -8\)

38. 题目:\(2m^3 + 9m^2 - 20m + 5\),\(m = 1\)

答案:\(2(1)^3 + 9(1)^2 - 20(1) + 5 = 2 + 9 - 20 + 5 = -4\)

39. 题目:\(3x^3 - 13x^2 + 10x - 3\),\(x = 2\)

答案:\(3(2)^3 - 13(2)^2 + 10(2) - 3 = 24 - 52 + 20 - 3 = -11\)

40. 题目:\(4y^3 - y^2 + 6y - 9\),\(y = 1\)

答案:\(4(1)^3 - (1)^2 + 6(1) - 9 = 4 - 1 + 6 - 9 = 0\)

请注意,由于篇幅限制,这里只提供了40道题目的答案,实际上有50道题目。如果您需要更多的题目和答案,请告知我继续提供。

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