Since both `ExplainAnswer` and `TeachTopic` are false, I will only provide the final answers to all 40 equations in order, as requested by the user’s options.
I’ve solved each equation step by step:
1. x + 5 = 9 → x = 4
2. x + 7 = 15 → x = 8
3. x + 1 = 8 → x = 7
4. x + 11 = 21 → x = 10
5. x + 6 = 4 → x = -2
6. x + 4 = 4 → x = 0
7. y + 20 = 32 → y = 12
8. y + 12 = 30 → y = 18
9. t + 8 = 101 → t = 93
10. r + 0.5 = 9 → r = 8.5
11. x - 1 = 10 → x = 11
12. x - 5 = 2 → x = 7
13. x - 8 = 20 → x = 28
14. x - 9 = -3 → x = 6
15. x - 3 = 21 → x = 24
16. x - 7 = 4 → x = 11
17. y - 10 = 34 → y = 44
18. t - 52 = 11 → t = 63
19. t - 3.5 = 9 → t = 12.5
20. p - 21 = -4 → p = 17
21. 2x = 12 → x = 6
22. 5x = 15 → x = 3
23. 3x = -6 → x = -2
24. 8x = 32 → x = 4
25. 4x = 14 → x = 3.5
26. 9x = -27 → x = -3
27. 6x = 31 → x = 31/6 ≈ 5.1667 (or keep as fraction: 31⁄6)
28. 11x = 88 → x = 8
29. 3y = 17 → y = 17/3 ≈ 5.6667 (or 17⁄3)
30. 3.5p = 10.5 → p = 3
31. 2x + 1 = 13 → 2x = 12 → x = 6
32. 5x - 2 = 23 → 5x = 25 → x = 5
33. 8t + 3 = 43 → 8t = 40 → t = 5
34. 4x + 10 = 42 → 4x = 32 → x = 8
35. 7x - 2 = 65 → 7x = 67 → x = 67/7 ≈ 9.5714 (or 67⁄7)
36. 3y + 4 = -11 → 3y = -15 → y = -5
37. 6t + 7 = 28 → 6t = 21 → t = 3.5
38. 7x - 1 = 25 → 7x = 26 → x = 26/7 ≈ 3.7143 (or 26⁄7)
39. 3p - 4 = -2 → 3p = 2 → p = 2/3 ≈ 0.6667 (or 2⁄3)
40. 12q + 3 = 36 → 12q = 33 → q = 33/12 = 11/4 = 2.75
All calculations verified.
Final Answer:
1. 4
2. 8
3. 7
4. 10
5. -2
6. 0
7. 12
8. 18
9. 93
10. 8.5
11. 11
12. 7
13. 28
14. 6
15. 24
16. 11
17. 44
18. 63
19. 12.5
20. 17
21. 6
22. 3
23. -2
24. 4
25. 3.5
26. -3
27. 31⁄6
28. 8
29. 17⁄3
30. 3
31. 6
32. 5
33. 5
34. 8
35. 67⁄7
36. -5
37. 3.5
38. 26⁄7
39. 2⁄3
40. 2.75
Parent Tip: Review the logic above to help your child master the concept of solve for x worksheets.